SlideShare ist ein Scribd-Unternehmen logo
1 von 9
Downloaden Sie, um offline zu lesen
International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645

www.ijmer.com

Theoretical and graphical analysis of abrasivewater jetturning
G.Ramu1B.Bapiraju2M.Leela Kumari3
1

vitam engineering college,Mechanical Engineering, JNTUK,AP.
swamyVivekananda engineering college, Faculty of Mechanical Engineering,JNTUK, AP.
3
vitam engineeringcollege, Faculty of Mechanical Engineering, JNTUK, AP.

2

ABSTRACT: Recent developments in the materials technology, as well as the requirements for more complex and
economic machining processes, demand new approaches to the machining of materials. The machining of lightweight
materials, specialty metals, ceramics, and advanced metal matrix composites requires careful machining strategy to
maximize performance, minimize tool wear and avoid material distortion or destruction due to thermally induced oxidation,
shear stresses, thermal stresses, vibration. It will be of great importance to develop a machine tool that is less sensitive to
material properties, has virtually no thermal effects, imposes minimal stresses, is free of vibrations and provides acceptable
surface finish. Abrasive water jet (AWJ) technology offers the potential for the development of such a tool.An explicit finite
element analysis (FEA) of a single abrasive particle impact on stainless steel in abrasive water jet (AWJ) machining. In the
experimental verification, the shapes of craters on the workpiece material were observed and compared with FEA
simulation results by means of crater sphericity. The influences of the impact angle and particle velocity were
observed.Especially the impact angle emerged as a very suitable process parameter for experimental verification of FEA
simulation, where crater sphericity was observed. Results of the FEA simulation are in good agreement with those obtained
from the experimental verification. The presented workgives the basis for further FEA investigation of AWJ machining,
where influences such as particles rotation and other process parameters will be observed.The objective of the present work
is to develop a mathematical model, considering the variation in jet impact angle and the kerf profile, for predicting the final
diameter achieved in AWJ turning process for ductile and brittle materials. Various distributions that can represent the kerf
shape and the best distribution among them is identified by comparing the predicted kerf shape with the observed kerf shape.
It was observed that a sine function could represent the observed kerf geometry better than exponential and cosine functions.
The proposed model is validated by comparing the predicted final diameters with experimental results obtained literature.

Keywords:AWJ turning, Kerf, Modeling.Explicit finite elements analysis
I.

INTRODUCTION

Manufacturing industry is being ever more time conscious with regard to the global economy. The need for rapid
prototyping and small production batches is increasing in modern industries. These trends have placed a premium in the use
of new and advanced technologies for quickly turning raw materials in to usable goods; with no time being required for
tooling. Abrasive water jet (AWJ) machining technology has been found to be one of the most recent developed advanced
non-traditional methods used in industry for material processing with the distinct advantages of no thermal distortion; high
machining versatility, high flexibility and small cutting forces. There are several distinguished advantages of AWJ
technique. It is less sensitive to material properties and hence does not cause chatter, has no thermal effects, imposes
minimal stresses on the work piece, and has high machining versatility and flexibility.Further, several requirements such as
tight tolerances on the machined parts and effective utilization of these advanced materials motivated one to look for certain
alternatives to these advanced machining processes. In conventional methods of machining, a solid tool, made of higher
hardness than work piece, makes a direct contact with the work piece material. In contrast to this, unconventional methods of
machining make use of different forms of energy to process the materials and do not make any direct contact with the work
material. Among the several unconventional machining processes, electro-chemical machining, electro-discharge machining,
ultrasonic machining, abrasive jet machining, abrasive water jet machining, chemical machining and laser beam machining
are the most popular ones. Among them, abrasive water jet machining process is gaining lot of popularity due to its ability to
process a range of materials in different ways. An abrasive water jet is a jet of water, which contains abrasive material.
Usually the water exits a nozzle at a high speed and the abrasive material is injected into the jet stream. This process is
sometimes known as entrainment in that the abrasive particles become part of the moving water much as passengers become
part of a moving train. Hence as with a train the water jet becomes the moving mechanism for the particles. However high
speed jet of a pre-mixture of the abrasive and the water would also be defined as an abrasive water jet The purpose of the
abrasive water jet is to perform some machining or finishing operation such as cutting, boring, turning, etc.

II.

HEADINGS

1.1
IntroductionManufacturing industry is being ever more time conscious with regard to the global economy. The
need for rapid prototyping and small production batches is increasing in modern industries. These trends have placed a
premium in the use of new and advanced technologies for quickly turning raw materials in to usable goods; with no time
being required for tooling. Abrasive water jet (AWJ) machining technology has been found to be one of the most recent
developed advanced non-traditional methods used in industry for material processing with the distinct advantages of no
thermal distortion; high machining versatility, high flexibility and small cutting forces. There are several distinguished
advantages of AWJ technique. It is less sensitive to material properties and hence does not cause chatter, has no thermal
effects, imposes minimal stresses on the work piece, and has high machining versatility and flexibility.
www.ijmer.com

3207 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
1.2 Abrasive Water Jet TurninAbrasive water jets are extensively employed for cutting of different materials such as soft
and ductile materials to hard and brittle materials. It has become the state of the art in many industries such as automobile,
aerospace and many consumable product making industries .Attempts made on AWJ turning include the turning of long and
small diameter parts and the production of threads on difficult-to-machine materials like ceramics, composites, glass, etc.
1.3 present worksThe present work is to develop a mathematical model, considering the variation in jet impact angle and
kerf geometry, for predicting the final diameter in AWJ TURNING process for ductile and brittle materials.
2.1 IntroductionMany researchers developed a stable abrasive water jet turning process in the field of manufacturing in
order to generate high quality products. However extensive works have been reported by varying different process
parameters in Abrasive Water Jet Turning.This chapter highlights the literature available on abrasive water jet machining,
especially focusing on abrasive water jet turning. It also gives the classification of different types of water jets and discusses
the relevance of these jets for abrasive water jet turning. It also includes the description of various components of abrasive
water jet machining system, the various theories proposed for explaining the mechanism of material removal in abrasive
water jet machining.The water jet cutting, also called hydrodynamic machining, technology was developed in 1968 by Dr.
Norman Franze, followed by the first commercial system in 1971. A breakthrough was made by adding abrasive particles to
the high pressure stream of water in the early 1980s, immediately followed by the introduction of the first commercial
abrasive water jet (AWJ) system in 1983.
2.2 The AWJM Process
An abrasive water jet is a jet of water that contains some abrasive material. Abrasives are particles of special
materials like aluminum oxide, silicon carbide, sodium bicarbonate, dolomite and/or glass beads with varying grain sizes.
Usually the water exits a nozzle at a high speed and the abrasive material is injected into the jet stream. This process is
sometimes known as entrainment in that the abrasive particles become part of the moving water much as passengers become
part of a moving train. The added abrasives drastically increase the range of materials that can be cut with a water jet.
Materials like super alloys, ceramics, glass, and refractory material are typically machined by this process. This process aids
in achieving higher traverse speeds, machining of thicker materials, and better edge quality.The abrasive water jet-cutting
process is characterized by a large number of process parameters that determine the efficiency, economy and quality of the
entire process. In general, the parameters in the abrasive water-jet cutting process can be divided into four categories 1.
Hydraulic parameters,– Pump pressure (p)– Water-orifice diameter (do)– Water flow rate (mw)2. Mixing and acceleration
parameters– Focus diameter (df)– Focus length (lf)3. Cutting parameters– Traverse rate (v)– Number of passes (np)–
Standoff distance (x)– Impact angle (φ)4. Abrasive parameters– Abrasive mass flow-rate (ma)–Abrasive particle diameter
(dp)– Abrasive particle size distribution (f (dp))– Abrasive particle shape– Abrasive particle hardness (Hp)

III.

PROCESS PARAMETER ESTIMATION

Determining the optimal process parameters by testing/ experimentation is a time consuming and cost ineffective
procedure. The knowledge of a mathematical function that relates the cutting parameters to the cutting results is necessary
for a computer controlled cutting process. An important aspect is to estimate some of the most crucial output process
parameters using the input parameters. One of the critical input parameters is the depth of cut (dc), which reflects the
thickness of the work-piece material to be removed. Many complex mechanisms of material removal and a huge quantity of
particles involved in the process produce a strongly nonlinear and stochastic behavior of the system. The generated surface
depends on several machining parameters and work piece properties. Because the AWJ process is a dynamic system, the
interactions of the system inputs (machining parameters and work piece properties) play an important role on process
evolution.From the technological point of view, the most interesting machining parameters are the cutting head traverse rate,
the water pressure, the abrasive mass flow rate and the stand-off distance between the mixing tube and the work piece. All
these parameters can be controlled during AWJ machining. Other parameters, like cutting head components’ geometry,
abrasive properties and work piece material properties are unchanged during the process.As explained earlier by many
researchers in the field of abrasive water jet turnining, much work is to be carried out to find the critical diame
3.1 Introduction:Abrasive water jet turning (AWJT) is a new process that holds promise for efficient machining of difficult
to machine materials. The process uses abrasive water jet as a cutting tool that deflects from its trajectory upon interaction
with the work piece. Therefore, the final work piece diameter, in addition to depth of cut, is a function of abrasive water jet,
work piece and turning parameters. Here an initial attempt is made to model the AWJ turning process that is based on
existing models of erosion. A new approach is to predict the process parameters in Abrasive Water Jet (AWJ) turning. The
methodology involves the application of Finnie’s theory of erosion for estimation of volume of material removed assuming
the impact of jet on the work piece surface at an angle to account for the curvature of work piece.
3.2 Characteristics of AWJ machining: AWJ machining technology has been increasingly used since it has various
distinguished advantages over other cutting processes
 No thermal damage or distortion. The heat generated is instantaneously carried away by the water. As a result, no
temperature rise occurs in the work piece. This is especially useful for cutting thermal sensitive materials and other
metals where excessive heat may change the properties of the material.
www.ijmer.com

3208 | Page







International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
Ability to produce contours. Abrasive water jets are exceptionally good at two-dimensional machining. It is possible to
cut very complicated shapes or bevels of any angle in addition to three-dimensional profiling because the process is
unidirectional.
High machining versatility. An abrasive water jet can cut virtually any materials, particularly for machining many
difficult-to-machine materials such as pre-hardened steels, titanium alloys, copper, brass and aluminum, brittle materials
like glasses, ceramics and quartz..
High initial capital and operating costs. For most industrial applications, the investment and operating costs are very
high.
Low nozzle life: The AWJ nozzle suffers from wearing by particles, which tends to produce unacceptable cut quality.
Low energy efficiency: In the AWJ machining process, material removal is caused primarily by abrasives. The kinetic
energy of abrasives is less than 10% of the total energy of the water stream in an AWJ system. The water stream retains
a significant amount of energy until it is collected in an energy-dissipating container.
Low energy efficiency: In the AWJ machining process, material removal is caused primarily by abrasives. The kinetic
energy of abrasives is less than 10% of the total energy of the water stream in an AWJ system. The water stream retains
a significant amount of energy until it is collected in an energy-dissipating container.

3.3 Mechanism of Material Removal in AWJ Machining.Material removal in the case of AWJs is due to the erosion
caused by the impact of high velocity abrasive particles on the material. Abrasives strike the work piece at approximately
one million collisions per second thus transferring a large amount of kinetic energy to the work material. The damage caused
to the material by the high speed impact of particles entrained in a fluid system is called erosion.
3.4 Micro cutting mechanisms.

3.5.Abrasive Water Jet Turning .A novel turning technique that employs abrasive water jet as cutting tool was proposed
[6]. Abrasive water jet turning (AWJT) is a new process that holds promise for efficient machining of difficult to machine
materials. The configuration of AWJ turning is similar to that of a conventional lathe, except that an AWJ is used as a cutting
tool. An AWJ is formed by mixing solid abrasive particles with high velocity water jet in a specially designed nozzle
assembly. The high velocity water jet is obtained by passing water at pressure upto 380 MPa through a small sapphire orifice
less than 1 mm in diameter. The abrasive particles are entrained in water downstream of the orifice with the help of a
vacuum pressure that exits around the water jet. The impact of high velocity abrasive particles with the work piece causes
material removal, which can generally be classified as erosive wear.
3.6 PARAMETERS INVOLVED IN AWJ CUTTING
3.6.1 Input parameters:
 Hydraulic parameters:Water jet pressure , Water jet diameter
 Target material:
Fracture strength, Hardness , Ductility
 Mixing parameters: Mixing tube diameter , Mixing tube length
 Cutting parameters: Traverse speed , Standoff distance ,Angle of attack
 Abrasive parameter :Abrasive particle size ,Abrasive material ,Abrasive flow rate ,Abrasive condition (dry or
slurry)
3.6.2. Output parameters:
 Kerf characteristicsSurface waviness ,Kerf width and taper ,Burr formation ,Surface finish, Depthofcut
 Geometrical and dimensional accuracy ,Material removal rate
3.7 MOTIVATION:
 AWJ TURNING is the promising method to machine hard, brittle and difficult to machine material
 Scope for optimizing the parameters to improve the process efficiency [4].
 Very few attempts to model the AWJ TURNING.
 The existing AWJ turning models [2] does not considering varying impact angle.

www.ijmer.com

3209 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
3.8. OBJECTIVE and SCOPE OF THE WORK: The objective of the present work is to develop a mathematical model,
considering the variation in jet impact angle and kerf geometry, for predicting the final diameter in AWJ TURNING process
for ductile and brittle materials. The scope of the present work is limited to the development of an approach for predicting
the overall geometry of kerf and final diameter achieved while turning ductile materials using AWJ.

IV.

INDENTATIONS AND EQUATIONS

4.2..IMPORTANCE OF MATHEMATICAL MODELING The important controlling process parameters in AWJ
cutting include water pressure (P), jet traverse rate (V), abrasiveflowrate(Mf)anddiameteroffocusingnozzle(df).
Inthisstudy,depthof
cuthasbeenchosenasthemainprocess
response
characteristicsto investigatetheinfluenceof
theaboveparameters.We firstdevelopa mathematicalmodelto relatetheprocesscontrolparametersto theprocessresponse
characteristics. The empiricalmodel for the prediction of depth ofcutinterms ofthecontrolling parameters willbe
establishedbymeansofpiecewiselinearregressionanalysis.
4.2.1 Solving Ansari and Hashish [2] model using numerical methods It was attempted in the present work to solve the
existing model to obtain the final results using numerical methods through a MATLAB program. While solving that equation
by using numerical methods, results of the solved equation are imaginary and do not have reasonable values. Hence, a
modified approach was developed based purely on the geometry of the part to predict the final diameter of part turned using
AWJ.
4.2.2 Modified approach: From the geometry

 r  
cos    i

 r 

h h
sin    t

 r 

r 2   ri      ht  h 
2

r   ri   
2

h  r
t

i

2

 ri   

2



1

2

2

1


2
2
   ri 2   ri      h 





2

2

Fig.4.1 Work piece geometry

r 2   ri      ht  h 
2

so,
,By solving

r   ri 2  2hht  h 2 
dr 

Differentiating above eqn. so

r   ri   
2

1

2

 h  ht 

 ri2  2hht  h2 

1

2

2

1


2
2
   ri 2   ri      h 





2

dh
2

Elemental volume removal rate (from the geometry):
.

d v  2 r  dr  u
.

d v  2  ht  h  udh
When solving above eqn., the result is quartic

Ah 4  Bh3  Ch 2  Dh  E  0
www.ijmer.com

(I)

3210 | Page
www.ijmer.com
Where

International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645

A 1
C  4ht2  ri 2
E  3Kre2  2 Kre ht






B    4ht 





D   2ht ri2  2 Kre



re  ri  

2

ma v
a
K
8u
4.3 MODELING OF KERF GEOMETRY.In the previous chapter, it was seen that modified approach was discarded. In
order to estimate the volume of material removed, previous works (Manu & Ramesh Babu) [4] assumed kerf profile to be
rectangular. Analysis of kerf profile using optical profile projector showed that this is not true. The purpose of this work is to
develop an approach for predicting the overall geometry of kerf turned with AWJs. Since the geometry of kerf depends on
several process parameters such as water pressure, abrasive mass flow rate and jet traverse rate, it is essential to consider all
these parameters for developing suitable relations for predicting the kerf geometry.

Fig. 4.3 Kerf profile got from optical profile projector
4.5 PREDICTION OF KERF PROFILE .To predict the shape of kerf produced by AWJ traversed over the work material,
the proposed analysis first considers a uniform distribution of energy in the jet to predict the kerf shape and then introduces a
function to obtain the kerf shape with non-uniform distribution of energy in the jet.

Fig. 4.4 Sschematic diagram showing the kerf formation in abrasive water jet turning

Fig. 4.5 Jet moving on imaginary line L
4.5.1 Uniform distribution of energy: Kerf profile produced on the material with AWJ having uniform distribution of
energy can be determined with the above relation. By substituting x= 0 and x = R, one can determine the maximum and
minimum depth of kerf at the center and at the edges and are given by

www.ijmer.com

3211 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
For uniform distribution of energy across the jet, Kerf shape showing depth hi(x) at a distance x

Fig. 4.6 kerf shape for uniform distribution of energy across the jet
4.5.2 Non-Uniform distribution of energy: Let the EI is the rate of energy per unit area per unit time at any radius r in the
cross section of the jet. Emax is the maximum rate of energy per unit area per unit time in the cross section of jet. Let the
variation in the energy of the jet over its cross section be represented by a function fI

The value of fI varies from 0 to 1 from the periphery to center of the jet

Fig. 4.7 Distribution of energy in abrasive water jet having non-uniform energy distribution

V.

FIGURES AND TABLES

To develop these relations, AWJ having non-uniform energy distribution was considered. In fact, the energy
distribution in the jet is non-uniform and is the resultant of the bell shaped distribution of velocity in the jet. The present
work considers different non-uniform distributions while developing the relation for predicting the kerf shape produced by
AWJs. By comparing the predicted shape of kerf with the shape of kerf observed from the experiments, the function that
represents the distribution of energy in the jet was chosen. After identifying the distribution of energy in the jet, this
particular jet produces a kerf on a particular material. The width of kerf is considered as the effective diameter of jet that
interacts with material in generating kerf. This chapter covers the predicted results, discussion validation.

Schematic of AWJM kerf
5.2 SELECTION OF ENERGY DISTRIBUTION FUNCTION IN THE JET
Here function meansthe variation in the energy of the jet over its cross section be represented by a function f(r). To
determine the function f(r), various distributions such as Gaussian, exponential, sine and cosine functions were considered to
predict the kerf shape. As it is important to know the distribution of energy in the jet for developing the relations for
predicting the geometry of kerf, the distribution of energy in the jet was identified by comparing the kerf observed on the
material with the kerf predicted with different distributions. As explained earlier, a set of experiments were conducted to
produce kerf on work material at various surface speeds, for the purpose of comparing these kerf profiles with the kerf
predicted using the various functions (f(r)) like sine, cosine and exponential functions for representing the non-uniform
variation of energy in the jet.The function f(r) is chosen in such a way that the predicted kerf profile is closest to observed
kerf profile. The simulation experiments were conducted by varying the surface speeds 1000mm/s, 2000 mm/s, 3000 mm/s,
4000 mm/s. The different functions that were chosen to represent the energy distribution are given in table below.Profiles
with the kerf predicted using the various functions (f(r)) like sine, cosine and exponential functions for representing the nonuniform variation of energy in the jet.The function f(r) is chosen in such a way that the predicted kerf profile is closest to
observed kerf profile. The simulation experiments were conducted by varying the surface speeds 1000mm/s, 2000 mm/s,
www.ijmer.com

3212 | Page
International Journal of Modern Engineering Research (IJMER)
www.ijmer.com
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
3000 mm/s, 4000 mm/s. The different functions that were chosen to represent the energy distribution are given in table
below
Distribution
Sine
Exponential
Cosine

Function f(r)
(1-sin(πr/2R))
(1-exp((r/R)-1))
0.5* (1+cos (πr/R)

.By substituting the above functions in equation (3.16) and then integrating that equation, the height of kerf at any
point on the kerf can be determined. A MATLAB program was written for predicting the kerf profile and finding the area
under the kerf for each function.
kerf profile for function of (1-exp(r/R-1)) at different surface speeds
0.5

1  e

0

Kerf height (mm)

-0.5

r / R 1



-1

-1.5

-2
s=
s=
s=
s=

-2.5

-3
-0.8

1000
2000
3000
4000

-0.6

mm/min
mm/min
mm/min
mm/min

-0.4

-0.2

0
Radius (mm)



0.2

0.4

0.6

0.8



the kerf profile generated using exponential function
1  er /.R 1 It can be seen that in some region the profile depth is
taking a positive depth, whereas the kerf profile depth must be negative
kerf profile for function of 0.5(1+cos(pi*r/R)) at different surface speed
0

-0.5

Kerf height (mm)

-1

0.5  1  cos  r / R 

-1.5

-2

-2.5
s=
s=
s=
s=

-3

-3.5
-0.8

1000
2000
3000
4000

-0.6

mm/min
mm/min
mm/min
mm/min

-0.4

-0.2

0
Radius (mm)

0.2

0.4

0.6

0.8

Profile comparison for function at different traverse rate presented the profiles obtained using cosine and sine functions
respectively. It can be seen that profiles are similar to observed kef profiles. Here also max. depth of kerf decrease with
increase in surface speed. Profile shown in Figs 5.2, 5.3 and 5.4 satisfy the boundary condition i.e at the centre of the jet
(radius =0) kerf height is maximum and at the extreme ends of the jet (radius =R and radius = -R) kerf height is zero.
kerf profile for function of (1-sin(pi*r/2R)) at different surface speed
0

-0.5

Kerf height (mm)

-1

1  sinr / 2R 

-1.5

-2

-2.5
s=
s=
s=
s=

-3

-3.5

-4
-0.8

-0.6

1000
2000
3000
4000

-0.4

mm/min
mm/min
mm/min
mm/min

-0.2

0
Radius (mm)

0.2

0.4

0.6

0.8

Fig. 5.4 Profile comparison for1  sin r / 2 R  traverse rate
function at different
www.ijmer.com

3213 | Page
www.ijmer.com

International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645
Fig.5.5 Profile comparison for 3 functions
comparision between different functions

0.2

0

kerf height (mm)

-0.2

-0.4

-0.6

-0.8
0.5*(1+cos(pi*r/R))
(1-e(r/R)-1)
(1-sin(pi*r/2R))

-1

-1.2
-0.8

-0.6

-0.4

-0.2

0
Radius (mm)

0.2

0.4

0.6

0.8

Fig. 5.5 presented the comparison of the 3 profiles obtained using 3 different distribution functions. In order to selected the
most suitable one to represent the actual kerf profile , the area under each profile is compared with the actual area of the kerf.
Here the atual area of the kerf is taken from the ‘kerf shape drawn with optical profile projector’. That profile is redrawn on
graph paper and the area obtained by counting the no. of units inside the kerf. Where as area for the particular function is
obtained directly from the MATLAB program.
Functions
Surface speed
(mm/min)
s = 4000

0.5*(1+ cos(П
r/R))

1-sin(П
r/2*R))

1-e((r/R)-1)

Actual

0.5152

0.5166

0.4512

0.5600

s = 3000
s = 2000
s = 1000

0.8082
1.1444
1.6532

0.8104
1.1482
1.6576

0.7078
1.0102
1.4478

0.9220
1.1684
1.6320

Table 5.2 Comparison of kerf area in mm2
From the table 4.2 it can be seen that sine function is closest to actual area of the kerf. So the sine function is considered as
energy distribution function in the jet. By substituting the sine function in eqn. (3.16). Final equation for the Kerf profile
depth at any distance x from the center of kerf is obtained as

Surface
(mm/min)
s = 4000
s = 3000
s = 2000
s = 1000

Table 5.3 Error unpredicted kerf area for selected function
Functions
speed 1-sin(П
r/2*R))
Actual
Error (%)
0.5166
0.8104
1.1482
1.6576

0.5600
0.9220
1.1684
1.6320

www.ijmer.com

-7.75
-12.104
-1.73
1.57

3214 | Page
www.ijmer.com

International Journal of Modern Engineering Research (IJMER)
Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215
ISSN: 2249-6645

VI.







CONCLUSION

In the present work, a new approach to predict the kerf geometry in Abrasive Water Jet Turning has been
developed.
The nature of interaction of jet with material and the material removal from part surface could be represented using
Finnie’s theory of erosion.
The energy distribution in the jet has been used as the basis for predicting the kerf geometry.
Among the various distributions considered, the sine function was found to represent the variation of energy in the
abrasive water jet very well, predicting the kerf shape close to the observed shape.
The predicted maximum depth of kerf was in turn used to estimate the final diameter of turned part under various
process parameter combinations.
The final diameters predicted using this approach were in agreement (R 2 = 0.94) with experimental results from
literature.

FUTURE WORK
 Modification of the developed model employing other theories of erosion
 Employing other functions for representing kerf profile
 Modeling of AWJT of brittle materials.
 Modeling of AWJT using FEM.

REFERENCES
[1.]
[2.]
[3.]
[4.]
[5.]
[6.]
[7.]
[8.]
[9.]
[10.]

[11.]
[12.]
[13.]
[14.]
[15.]
[16.]
[17.]
[18.]
[19.]
[20.]
[21.]

Hualui, A Study of the cutting performance in Abrasive Water jet Contouring of
Alumina Ceramics and Associated Jet Dynamic
Characteristics, Ph. D thesis, (Queensland University of Technology) .
Ajmal I Ansari , Mohamed Hashish, On the modeling of abrasive water jet turning, Jet Cutting Technology, edited by A.
Lichtarowicz, Proceedings of the Published by Kluwer Academic Publishers, Dordrecht, Nethelands, 1992, pp.555-576.
N. Prasankumar ,Modeling and analysis of pockets milled with abrasive water jet, M.S Thesis, (IIT Madras) .
R. Manu and N. Ramesh Babu, Estimation of Process Parameters in Abrasive Water Jet Turning of Parts, Tehran International
Congress on Manufacturing Engineering (TICME2005) December 12-15, 2005, Tehran, Iran.
Hashish M (1998) Water jet advances in field and factory. Proceedings of 5th Pacific Rim International Conference on Water jet
Technology, New Delhi, India 231-246
Hashish M (1984) A modeling study of metal cutting with abrasive water jets. Transactions of ASME Journal of Engineering for
Industry 106:88-100
Louis H (1998) Abrasive water jets: A Review. Proceedings of 5th Pacific Rim International Conference on water jet technology,
New Delhi, India 321-329
Momber A, Kovacevic R (1988) Principles of abrasive water jet machining. Springer-Verlag, London
Hashish M (1991) Optimization factors in abrasive water jet machining. Transactions of ASME Journal of Engineering for Industry
113:29-37
Momber A. Pfeiffer, Kovacevic R, Schunemann (1996) The Influence of abrasive grain size distribution parameters on the abrasive
water jet machining process. Proceedings of the 1996 24th NAMR1 conference, Society of Manufacturing Engineers MR96 (115):
1-6
Member A, Kovacevic R (2000) Particle size distribution influence in high speed erosion of aluminum. Particle Science and
Technology 18:199-212
Labus T, Neusen K, Alberts D, Gores T (1991) Factors influencing the particle size distribution in an abrasive water jet.
Transactions of the ASME, Journal of Engineering for Industry 113:402-411
KrishnaiahChetty OV, Ramesh Babu N (1999) some investigations on abrasives in abrasives water jet machining. Proceeding of
10th American waterjet conference, Waterjet Technology Association, USA: 419-430
KanthaBabu M, KrishnalahChetty OV (2001) Studies on the use of local abrasives in abrasive waterjet machining. Proceedings of
17th International conference on CAD/CAM, Robotics and Factories of Future, Durban, South Africa: 150—156
KanthaBabu M, KrishnaiahChetty OV (2001) Abrasive water jet machining of aluminium with local abrasives. Proceedings of 1 lth
American Water Jet Conference, Water Jet Technology Association, Minneapolis, USA: 325-341
Guo N, Louis H, Meier G, Ohlsen J (1992) Recycling capacity of abrasives in Abrasive Water Jet cutting. Proceedings of 1 lth
International conference on Jet Cutting Technology, Scotland 503-523
Hashish M (1989) A model for abrasive water jet machining. Transactions of the ASME, Journal of Engineering Materials and
Technology 111:154—162
Matsumoto K, Arasawa H, Yamaguchi S (1998) A study of the effect of abrasive material on cutting with abrasive water jet.
Proceedings of 9th International symposium of jet cutting technology, Sendal, Japan 255-269
KanthaBabu M, KrishnaiahChetty OV (2002) Studies on recharging of abrasives in abrasive waterjet machining. International
Journal of Advanced Manufacturing Technology, Springer-Verlag, London 19:697-703
KanthaBabu M, KrishnaiahChetty OV (2003) A study on recycling of abrasives in abrasive waterjet machining. International
Journal of Wear, Elsevier Science, Ireland 254:763-773
KanthaBabu M, KrishnaiahChetty OV (2003) Studies on abrasive water jet machining of black granite through design of
experiment. International Journal of Experimental Techniques, September: 49-54

www.ijmer.com

3215 | Page

Weitere ähnliche Inhalte

Was ist angesagt?

Image segmentation, Rough set Theory, Game Theory, Image processing
Image segmentation, Rough set Theory, Game Theory, Image processingImage segmentation, Rough set Theory, Game Theory, Image processing
Image segmentation, Rough set Theory, Game Theory, Image processingijsrd.com
 
Study of Manufacturing of Multi-Saddle Clamp
Study of Manufacturing of Multi-Saddle ClampStudy of Manufacturing of Multi-Saddle Clamp
Study of Manufacturing of Multi-Saddle ClampIRJET Journal
 
International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)IJERD Editor
 
A life cycle approach to corrosion management and asset integrity
A life cycle approach to corrosion management and asset integrityA life cycle approach to corrosion management and asset integrity
A life cycle approach to corrosion management and asset integrityOkeme Esegine PMP
 
Impact of varying the nozzle stand off distance on cutting temperature in t...
Impact of varying the nozzle stand   off distance on cutting temperature in t...Impact of varying the nozzle stand   off distance on cutting temperature in t...
Impact of varying the nozzle stand off distance on cutting temperature in t...eSAT Journals
 
FE Analysis for Investment Casting and Computer Simulation: A Review
FE Analysis for Investment Casting and Computer Simulation: A ReviewFE Analysis for Investment Casting and Computer Simulation: A Review
FE Analysis for Investment Casting and Computer Simulation: A Reviewijsrd.com
 
Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...iaemedu
 
Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...iaemedu
 
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEEL
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEELOPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEEL
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEELIAEME Publication
 
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...Nadaraja Sarmilan
 
Simulative analysis of tube hydroforming process
Simulative analysis of tube hydroforming processSimulative analysis of tube hydroforming process
Simulative analysis of tube hydroforming processeSAT Journals
 
6. journal 2016 analysis of surface roughness in hard turning
6. journal 2016   analysis of surface roughness in hard turning6. journal 2016   analysis of surface roughness in hard turning
6. journal 2016 analysis of surface roughness in hard turningichsan_madya
 
Computational study of a trailblazer multi reactor
Computational study of a trailblazer multi reactorComputational study of a trailblazer multi reactor
Computational study of a trailblazer multi reactoreSAT Publishing House
 
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...Computational study of a trailblazer multi reactor tundish (mrt) for improvin...
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...eSAT Journals
 
IRJET- A Review on Applications of Shock Wave
IRJET-  	  A Review on Applications of Shock WaveIRJET-  	  A Review on Applications of Shock Wave
IRJET- A Review on Applications of Shock WaveIRJET Journal
 

Was ist angesagt? (18)

Image segmentation, Rough set Theory, Game Theory, Image processing
Image segmentation, Rough set Theory, Game Theory, Image processingImage segmentation, Rough set Theory, Game Theory, Image processing
Image segmentation, Rough set Theory, Game Theory, Image processing
 
Study of Manufacturing of Multi-Saddle Clamp
Study of Manufacturing of Multi-Saddle ClampStudy of Manufacturing of Multi-Saddle Clamp
Study of Manufacturing of Multi-Saddle Clamp
 
International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)International Journal of Engineering Research and Development (IJERD)
International Journal of Engineering Research and Development (IJERD)
 
A life cycle approach to corrosion management and asset integrity
A life cycle approach to corrosion management and asset integrityA life cycle approach to corrosion management and asset integrity
A life cycle approach to corrosion management and asset integrity
 
Impact of varying the nozzle stand off distance on cutting temperature in t...
Impact of varying the nozzle stand   off distance on cutting temperature in t...Impact of varying the nozzle stand   off distance on cutting temperature in t...
Impact of varying the nozzle stand off distance on cutting temperature in t...
 
FE Analysis for Investment Casting and Computer Simulation: A Review
FE Analysis for Investment Casting and Computer Simulation: A ReviewFE Analysis for Investment Casting and Computer Simulation: A Review
FE Analysis for Investment Casting and Computer Simulation: A Review
 
Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...
 
Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...Optimization of surface finish during milling of hardened aisi4340 steel with...
Optimization of surface finish during milling of hardened aisi4340 steel with...
 
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEEL
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEELOPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEEL
OPTIMIZATION OF TURNING PROCESS PARAMETER IN DRY TURNING OF SAE52100 STEEL
 
B04520614
B04520614B04520614
B04520614
 
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...
2nd progress presentation on Minimum Quantity Lubrication(MQL) with vegitable...
 
J012555862
J012555862J012555862
J012555862
 
Simulative analysis of tube hydroforming process
Simulative analysis of tube hydroforming processSimulative analysis of tube hydroforming process
Simulative analysis of tube hydroforming process
 
Davidson rt
Davidson rtDavidson rt
Davidson rt
 
6. journal 2016 analysis of surface roughness in hard turning
6. journal 2016   analysis of surface roughness in hard turning6. journal 2016   analysis of surface roughness in hard turning
6. journal 2016 analysis of surface roughness in hard turning
 
Computational study of a trailblazer multi reactor
Computational study of a trailblazer multi reactorComputational study of a trailblazer multi reactor
Computational study of a trailblazer multi reactor
 
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...Computational study of a trailblazer multi reactor tundish (mrt) for improvin...
Computational study of a trailblazer multi reactor tundish (mrt) for improvin...
 
IRJET- A Review on Applications of Shock Wave
IRJET-  	  A Review on Applications of Shock WaveIRJET-  	  A Review on Applications of Shock Wave
IRJET- A Review on Applications of Shock Wave
 

Andere mochten auch

Ba2419551957
Ba2419551957Ba2419551957
Ba2419551957IJMER
 
Integration by Parts for DK Integral
Integration by Parts for DK Integral Integration by Parts for DK Integral
Integration by Parts for DK Integral IJMER
 
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...IJMER
 
A Novel Information Accountability Framework for Cloud Computing
A Novel Information Accountability Framework for Cloud ComputingA Novel Information Accountability Framework for Cloud Computing
A Novel Information Accountability Framework for Cloud ComputingIJMER
 
Vibration Analysis of Multiple Cracked Shaft
Vibration Analysis of Multiple Cracked ShaftVibration Analysis of Multiple Cracked Shaft
Vibration Analysis of Multiple Cracked ShaftIJMER
 
구글 Search engine-optimization-starter-guide-ko
구글 Search engine-optimization-starter-guide-ko구글 Search engine-optimization-starter-guide-ko
구글 Search engine-optimization-starter-guide-ko용대 김
 
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-Uganda
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-UgandaThe Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-Uganda
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-UgandaIJMER
 
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid Composites
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid CompositesFabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid Composites
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid CompositesIJMER
 
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...IJMER
 
I0503 01 6670
I0503 01 6670I0503 01 6670
I0503 01 6670IJMER
 
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...IJMER
 
Enhancement in viscosity of diesel by adding vegetable oil
Enhancement in viscosity of diesel by adding vegetable oilEnhancement in viscosity of diesel by adding vegetable oil
Enhancement in viscosity of diesel by adding vegetable oilIJMER
 
A Novel Method for Creating and Recognizing User Behavior Profiles
A Novel Method for Creating and Recognizing User Behavior ProfilesA Novel Method for Creating and Recognizing User Behavior Profiles
A Novel Method for Creating and Recognizing User Behavior ProfilesIJMER
 
Ay2641114118
Ay2641114118Ay2641114118
Ay2641114118IJMER
 
Writing for pr #2
Writing for pr #2Writing for pr #2
Writing for pr #2Dicky Ahmad
 
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...Fast Data Collection with Interference and Life Time in Tree Based Wireless S...
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...IJMER
 
The everlasting gospel
The everlasting gospelThe everlasting gospel
The everlasting gospelRobert Taylor
 
A Survey of User Authentication Schemes for Mobile Device
A Survey of User Authentication Schemes for Mobile DeviceA Survey of User Authentication Schemes for Mobile Device
A Survey of User Authentication Schemes for Mobile DeviceIJMER
 
Security of Data in Cloud Environment Using DPaaS
Security of Data in Cloud Environment Using DPaaSSecurity of Data in Cloud Environment Using DPaaS
Security of Data in Cloud Environment Using DPaaSIJMER
 

Andere mochten auch (20)

Ba2419551957
Ba2419551957Ba2419551957
Ba2419551957
 
Integration by Parts for DK Integral
Integration by Parts for DK Integral Integration by Parts for DK Integral
Integration by Parts for DK Integral
 
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...
Detection of Duplicate Address in Mobile Adhoc Networks for On Demand Routing...
 
A Novel Information Accountability Framework for Cloud Computing
A Novel Information Accountability Framework for Cloud ComputingA Novel Information Accountability Framework for Cloud Computing
A Novel Information Accountability Framework for Cloud Computing
 
Vibration Analysis of Multiple Cracked Shaft
Vibration Analysis of Multiple Cracked ShaftVibration Analysis of Multiple Cracked Shaft
Vibration Analysis of Multiple Cracked Shaft
 
구글 Search engine-optimization-starter-guide-ko
구글 Search engine-optimization-starter-guide-ko구글 Search engine-optimization-starter-guide-ko
구글 Search engine-optimization-starter-guide-ko
 
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-Uganda
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-UgandaThe Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-Uganda
The Impact of HIV/AIDS on Rural Household Welfare in Rukungiri District-Uganda
 
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid Composites
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid CompositesFabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid Composites
Fabrication and Characterization of PPS /40%GF/nano-CaCo3 Hybrid Composites
 
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...
A ZVS Interleaved Boost AC/DC Converter Using Super Capacitor Power for Hybri...
 
I0503 01 6670
I0503 01 6670I0503 01 6670
I0503 01 6670
 
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...
Effect of Air Entrainment on Compressive Strength, Density, and Ingredients o...
 
Enhancement in viscosity of diesel by adding vegetable oil
Enhancement in viscosity of diesel by adding vegetable oilEnhancement in viscosity of diesel by adding vegetable oil
Enhancement in viscosity of diesel by adding vegetable oil
 
Soap Magazines Analysis
Soap Magazines AnalysisSoap Magazines Analysis
Soap Magazines Analysis
 
A Novel Method for Creating and Recognizing User Behavior Profiles
A Novel Method for Creating and Recognizing User Behavior ProfilesA Novel Method for Creating and Recognizing User Behavior Profiles
A Novel Method for Creating and Recognizing User Behavior Profiles
 
Ay2641114118
Ay2641114118Ay2641114118
Ay2641114118
 
Writing for pr #2
Writing for pr #2Writing for pr #2
Writing for pr #2
 
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...Fast Data Collection with Interference and Life Time in Tree Based Wireless S...
Fast Data Collection with Interference and Life Time in Tree Based Wireless S...
 
The everlasting gospel
The everlasting gospelThe everlasting gospel
The everlasting gospel
 
A Survey of User Authentication Schemes for Mobile Device
A Survey of User Authentication Schemes for Mobile DeviceA Survey of User Authentication Schemes for Mobile Device
A Survey of User Authentication Schemes for Mobile Device
 
Security of Data in Cloud Environment Using DPaaS
Security of Data in Cloud Environment Using DPaaSSecurity of Data in Cloud Environment Using DPaaS
Security of Data in Cloud Environment Using DPaaS
 

Ähnlich wie Theoretical and graphical analysis of abrasivewater jetturning

SUNUM BİTİRME
SUNUM BİTİRMESUNUM BİTİRME
SUNUM BİTİRMEMurat ATAK
 
A review on abrasive water jet cutting
A review on abrasive water jet cuttingA review on abrasive water jet cutting
A review on abrasive water jet cuttingijmech
 
Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Dayakar Reddy
 
Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Dayakar Reddy
 
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSING
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSINGANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSING
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSINGIRJET Journal
 
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...IRJET Journal
 
Presentation on manufacturing
Presentation on manufacturingPresentation on manufacturing
Presentation on manufacturingKetan Pitrubhakta
 
MANUFACTURING PROCESSES.pdf
MANUFACTURING PROCESSES.pdfMANUFACTURING PROCESSES.pdf
MANUFACTURING PROCESSES.pdfPVSUBHANJANEYULU
 
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIE
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIEDESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIE
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIEIRJET Journal
 
IRJET- Experimental Investigation and Optimization of Process Parameters in A...
IRJET- Experimental Investigation and Optimization of Process Parameters in A...IRJET- Experimental Investigation and Optimization of Process Parameters in A...
IRJET- Experimental Investigation and Optimization of Process Parameters in A...IRJET Journal
 

Ähnlich wie Theoretical and graphical analysis of abrasivewater jetturning (20)

SUNUM BİTİRME
SUNUM BİTİRMESUNUM BİTİRME
SUNUM BİTİRME
 
A05810107
A05810107A05810107
A05810107
 
Fy3310631066
Fy3310631066Fy3310631066
Fy3310631066
 
09ME64
09ME6409ME64
09ME64
 
A review on abrasive water jet cutting
A review on abrasive water jet cuttingA review on abrasive water jet cutting
A review on abrasive water jet cutting
 
WATER JET CUTTING
WATER JET CUTTINGWATER JET CUTTING
WATER JET CUTTING
 
Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01
 
Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01Wjc 130122020738-phpapp01
Wjc 130122020738-phpapp01
 
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSING
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSINGANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSING
ANALYSIS OF KERF GEOMETRY WITH ABRASIVE WATER JET MACHINE IN MARBLE PROCESSING
 
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...
EXPERIMENTAL ANALYSIS OF ABRASIVE WATER JET MACHINING ON INCONEL 718 USING RE...
 
Presentation on manufacturing
Presentation on manufacturingPresentation on manufacturing
Presentation on manufacturing
 
ME6004 - UNCONVENTIONAL MACHINING PROCESS BY Mr.P.HARIPRASAD/AP/MECH/KIT/CBE
ME6004 - UNCONVENTIONAL MACHINING PROCESS BY Mr.P.HARIPRASAD/AP/MECH/KIT/CBEME6004 - UNCONVENTIONAL MACHINING PROCESS BY Mr.P.HARIPRASAD/AP/MECH/KIT/CBE
ME6004 - UNCONVENTIONAL MACHINING PROCESS BY Mr.P.HARIPRASAD/AP/MECH/KIT/CBE
 
G012424452
G012424452G012424452
G012424452
 
MANUFACTURING PROCESSES.pdf
MANUFACTURING PROCESSES.pdfMANUFACTURING PROCESSES.pdf
MANUFACTURING PROCESSES.pdf
 
ABRASIVE WATER JET MACHINING
ABRASIVE WATER JET MACHININGABRASIVE WATER JET MACHINING
ABRASIVE WATER JET MACHINING
 
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIE
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIEDESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIE
DESIGN AND ANALYSIS OF MULTIFACE HYDRAULIC BENDING MACHINE DIE
 
Ec31858863
Ec31858863Ec31858863
Ec31858863
 
IRJET- Experimental Investigation and Optimization of Process Parameters in A...
IRJET- Experimental Investigation and Optimization of Process Parameters in A...IRJET- Experimental Investigation and Optimization of Process Parameters in A...
IRJET- Experimental Investigation and Optimization of Process Parameters in A...
 
De36636639
De36636639De36636639
De36636639
 
Ef25803806
Ef25803806Ef25803806
Ef25803806
 

Mehr von IJMER

A Study on Translucent Concrete Product and Its Properties by Using Optical F...
A Study on Translucent Concrete Product and Its Properties by Using Optical F...A Study on Translucent Concrete Product and Its Properties by Using Optical F...
A Study on Translucent Concrete Product and Its Properties by Using Optical F...IJMER
 
Developing Cost Effective Automation for Cotton Seed Delinting
Developing Cost Effective Automation for Cotton Seed DelintingDeveloping Cost Effective Automation for Cotton Seed Delinting
Developing Cost Effective Automation for Cotton Seed DelintingIJMER
 
Study & Testing Of Bio-Composite Material Based On Munja Fibre
Study & Testing Of Bio-Composite Material Based On Munja FibreStudy & Testing Of Bio-Composite Material Based On Munja Fibre
Study & Testing Of Bio-Composite Material Based On Munja FibreIJMER
 
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)IJMER
 
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...IJMER
 
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...IJMER
 
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...IJMER
 
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...IJMER
 
Static Analysis of Go-Kart Chassis by Analytical and Solid Works Simulation
Static Analysis of Go-Kart Chassis by Analytical and Solid Works SimulationStatic Analysis of Go-Kart Chassis by Analytical and Solid Works Simulation
Static Analysis of Go-Kart Chassis by Analytical and Solid Works SimulationIJMER
 
High Speed Effortless Bicycle
High Speed Effortless BicycleHigh Speed Effortless Bicycle
High Speed Effortless BicycleIJMER
 
Integration of Struts & Spring & Hibernate for Enterprise Applications
Integration of Struts & Spring & Hibernate for Enterprise ApplicationsIntegration of Struts & Spring & Hibernate for Enterprise Applications
Integration of Struts & Spring & Hibernate for Enterprise ApplicationsIJMER
 
Microcontroller Based Automatic Sprinkler Irrigation System
Microcontroller Based Automatic Sprinkler Irrigation SystemMicrocontroller Based Automatic Sprinkler Irrigation System
Microcontroller Based Automatic Sprinkler Irrigation SystemIJMER
 
On some locally closed sets and spaces in Ideal Topological Spaces
On some locally closed sets and spaces in Ideal Topological SpacesOn some locally closed sets and spaces in Ideal Topological Spaces
On some locally closed sets and spaces in Ideal Topological SpacesIJMER
 
Intrusion Detection and Forensics based on decision tree and Association rule...
Intrusion Detection and Forensics based on decision tree and Association rule...Intrusion Detection and Forensics based on decision tree and Association rule...
Intrusion Detection and Forensics based on decision tree and Association rule...IJMER
 
Natural Language Ambiguity and its Effect on Machine Learning
Natural Language Ambiguity and its Effect on Machine LearningNatural Language Ambiguity and its Effect on Machine Learning
Natural Language Ambiguity and its Effect on Machine LearningIJMER
 
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcess
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcessEvolvea Frameworkfor SelectingPrime Software DevelopmentProcess
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcessIJMER
 
Material Parameter and Effect of Thermal Load on Functionally Graded Cylinders
Material Parameter and Effect of Thermal Load on Functionally Graded CylindersMaterial Parameter and Effect of Thermal Load on Functionally Graded Cylinders
Material Parameter and Effect of Thermal Load on Functionally Graded CylindersIJMER
 
Studies On Energy Conservation And Audit
Studies On Energy Conservation And AuditStudies On Energy Conservation And Audit
Studies On Energy Conservation And AuditIJMER
 
An Implementation of I2C Slave Interface using Verilog HDL
An Implementation of I2C Slave Interface using Verilog HDLAn Implementation of I2C Slave Interface using Verilog HDL
An Implementation of I2C Slave Interface using Verilog HDLIJMER
 
Discrete Model of Two Predators competing for One Prey
Discrete Model of Two Predators competing for One PreyDiscrete Model of Two Predators competing for One Prey
Discrete Model of Two Predators competing for One PreyIJMER
 

Mehr von IJMER (20)

A Study on Translucent Concrete Product and Its Properties by Using Optical F...
A Study on Translucent Concrete Product and Its Properties by Using Optical F...A Study on Translucent Concrete Product and Its Properties by Using Optical F...
A Study on Translucent Concrete Product and Its Properties by Using Optical F...
 
Developing Cost Effective Automation for Cotton Seed Delinting
Developing Cost Effective Automation for Cotton Seed DelintingDeveloping Cost Effective Automation for Cotton Seed Delinting
Developing Cost Effective Automation for Cotton Seed Delinting
 
Study & Testing Of Bio-Composite Material Based On Munja Fibre
Study & Testing Of Bio-Composite Material Based On Munja FibreStudy & Testing Of Bio-Composite Material Based On Munja Fibre
Study & Testing Of Bio-Composite Material Based On Munja Fibre
 
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)
Hybrid Engine (Stirling Engine + IC Engine + Electric Motor)
 
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...
Fabrication & Characterization of Bio Composite Materials Based On Sunnhemp F...
 
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...
Geochemistry and Genesis of Kammatturu Iron Ores of Devagiri Formation, Sandu...
 
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...
Experimental Investigation on Characteristic Study of the Carbon Steel C45 in...
 
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...
Non linear analysis of Robot Gun Support Structure using Equivalent Dynamic A...
 
Static Analysis of Go-Kart Chassis by Analytical and Solid Works Simulation
Static Analysis of Go-Kart Chassis by Analytical and Solid Works SimulationStatic Analysis of Go-Kart Chassis by Analytical and Solid Works Simulation
Static Analysis of Go-Kart Chassis by Analytical and Solid Works Simulation
 
High Speed Effortless Bicycle
High Speed Effortless BicycleHigh Speed Effortless Bicycle
High Speed Effortless Bicycle
 
Integration of Struts & Spring & Hibernate for Enterprise Applications
Integration of Struts & Spring & Hibernate for Enterprise ApplicationsIntegration of Struts & Spring & Hibernate for Enterprise Applications
Integration of Struts & Spring & Hibernate for Enterprise Applications
 
Microcontroller Based Automatic Sprinkler Irrigation System
Microcontroller Based Automatic Sprinkler Irrigation SystemMicrocontroller Based Automatic Sprinkler Irrigation System
Microcontroller Based Automatic Sprinkler Irrigation System
 
On some locally closed sets and spaces in Ideal Topological Spaces
On some locally closed sets and spaces in Ideal Topological SpacesOn some locally closed sets and spaces in Ideal Topological Spaces
On some locally closed sets and spaces in Ideal Topological Spaces
 
Intrusion Detection and Forensics based on decision tree and Association rule...
Intrusion Detection and Forensics based on decision tree and Association rule...Intrusion Detection and Forensics based on decision tree and Association rule...
Intrusion Detection and Forensics based on decision tree and Association rule...
 
Natural Language Ambiguity and its Effect on Machine Learning
Natural Language Ambiguity and its Effect on Machine LearningNatural Language Ambiguity and its Effect on Machine Learning
Natural Language Ambiguity and its Effect on Machine Learning
 
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcess
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcessEvolvea Frameworkfor SelectingPrime Software DevelopmentProcess
Evolvea Frameworkfor SelectingPrime Software DevelopmentProcess
 
Material Parameter and Effect of Thermal Load on Functionally Graded Cylinders
Material Parameter and Effect of Thermal Load on Functionally Graded CylindersMaterial Parameter and Effect of Thermal Load on Functionally Graded Cylinders
Material Parameter and Effect of Thermal Load on Functionally Graded Cylinders
 
Studies On Energy Conservation And Audit
Studies On Energy Conservation And AuditStudies On Energy Conservation And Audit
Studies On Energy Conservation And Audit
 
An Implementation of I2C Slave Interface using Verilog HDL
An Implementation of I2C Slave Interface using Verilog HDLAn Implementation of I2C Slave Interface using Verilog HDL
An Implementation of I2C Slave Interface using Verilog HDL
 
Discrete Model of Two Predators competing for One Prey
Discrete Model of Two Predators competing for One PreyDiscrete Model of Two Predators competing for One Prey
Discrete Model of Two Predators competing for One Prey
 

Kürzlich hochgeladen

"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ..."I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...Zilliz
 
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingRepurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingEdi Saputra
 
Strategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherStrategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherRemote DBA Services
 
Ransomware_Q4_2023. The report. [EN].pdf
Ransomware_Q4_2023. The report. [EN].pdfRansomware_Q4_2023. The report. [EN].pdf
Ransomware_Q4_2023. The report. [EN].pdfOverkill Security
 
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...Zilliz
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Jeffrey Haguewood
 
Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024The Digital Insurer
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAndrey Devyatkin
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfsudhanshuwaghmare1
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)wesley chun
 
A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?Igalia
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoffsammart93
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyKhushali Kathiriya
 
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...apidays
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processorsdebabhi2
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FMESafe Software
 
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbu
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu SubbuApidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbu
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbuapidays
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerThousandEyes
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonAnna Loughnan Colquhoun
 
FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024The Digital Insurer
 

Kürzlich hochgeladen (20)

"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ..."I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
 
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingRepurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
 
Strategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a FresherStrategies for Landing an Oracle DBA Job as a Fresher
Strategies for Landing an Oracle DBA Job as a Fresher
 
Ransomware_Q4_2023. The report. [EN].pdf
Ransomware_Q4_2023. The report. [EN].pdfRansomware_Q4_2023. The report. [EN].pdf
Ransomware_Q4_2023. The report. [EN].pdf
 
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
Emergent Methods: Multi-lingual narrative tracking in the news - real-time ex...
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
 
Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024Manulife - Insurer Transformation Award 2024
Manulife - Insurer Transformation Award 2024
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
Boost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdfBoost Fertility New Invention Ups Success Rates.pdf
Boost Fertility New Invention Ups Success Rates.pdf
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)
 
A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : Uncertainty
 
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
Apidays New York 2024 - Accelerating FinTech Innovation by Vasa Krishnan, Fin...
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processors
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbu
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu SubbuApidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbu
Apidays Singapore 2024 - Modernizing Securities Finance by Madhu Subbu
 
How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024FWD Group - Insurer Innovation Award 2024
FWD Group - Insurer Innovation Award 2024
 

Theoretical and graphical analysis of abrasivewater jetturning

  • 1. International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 www.ijmer.com Theoretical and graphical analysis of abrasivewater jetturning G.Ramu1B.Bapiraju2M.Leela Kumari3 1 vitam engineering college,Mechanical Engineering, JNTUK,AP. swamyVivekananda engineering college, Faculty of Mechanical Engineering,JNTUK, AP. 3 vitam engineeringcollege, Faculty of Mechanical Engineering, JNTUK, AP. 2 ABSTRACT: Recent developments in the materials technology, as well as the requirements for more complex and economic machining processes, demand new approaches to the machining of materials. The machining of lightweight materials, specialty metals, ceramics, and advanced metal matrix composites requires careful machining strategy to maximize performance, minimize tool wear and avoid material distortion or destruction due to thermally induced oxidation, shear stresses, thermal stresses, vibration. It will be of great importance to develop a machine tool that is less sensitive to material properties, has virtually no thermal effects, imposes minimal stresses, is free of vibrations and provides acceptable surface finish. Abrasive water jet (AWJ) technology offers the potential for the development of such a tool.An explicit finite element analysis (FEA) of a single abrasive particle impact on stainless steel in abrasive water jet (AWJ) machining. In the experimental verification, the shapes of craters on the workpiece material were observed and compared with FEA simulation results by means of crater sphericity. The influences of the impact angle and particle velocity were observed.Especially the impact angle emerged as a very suitable process parameter for experimental verification of FEA simulation, where crater sphericity was observed. Results of the FEA simulation are in good agreement with those obtained from the experimental verification. The presented workgives the basis for further FEA investigation of AWJ machining, where influences such as particles rotation and other process parameters will be observed.The objective of the present work is to develop a mathematical model, considering the variation in jet impact angle and the kerf profile, for predicting the final diameter achieved in AWJ turning process for ductile and brittle materials. Various distributions that can represent the kerf shape and the best distribution among them is identified by comparing the predicted kerf shape with the observed kerf shape. It was observed that a sine function could represent the observed kerf geometry better than exponential and cosine functions. The proposed model is validated by comparing the predicted final diameters with experimental results obtained literature. Keywords:AWJ turning, Kerf, Modeling.Explicit finite elements analysis I. INTRODUCTION Manufacturing industry is being ever more time conscious with regard to the global economy. The need for rapid prototyping and small production batches is increasing in modern industries. These trends have placed a premium in the use of new and advanced technologies for quickly turning raw materials in to usable goods; with no time being required for tooling. Abrasive water jet (AWJ) machining technology has been found to be one of the most recent developed advanced non-traditional methods used in industry for material processing with the distinct advantages of no thermal distortion; high machining versatility, high flexibility and small cutting forces. There are several distinguished advantages of AWJ technique. It is less sensitive to material properties and hence does not cause chatter, has no thermal effects, imposes minimal stresses on the work piece, and has high machining versatility and flexibility.Further, several requirements such as tight tolerances on the machined parts and effective utilization of these advanced materials motivated one to look for certain alternatives to these advanced machining processes. In conventional methods of machining, a solid tool, made of higher hardness than work piece, makes a direct contact with the work piece material. In contrast to this, unconventional methods of machining make use of different forms of energy to process the materials and do not make any direct contact with the work material. Among the several unconventional machining processes, electro-chemical machining, electro-discharge machining, ultrasonic machining, abrasive jet machining, abrasive water jet machining, chemical machining and laser beam machining are the most popular ones. Among them, abrasive water jet machining process is gaining lot of popularity due to its ability to process a range of materials in different ways. An abrasive water jet is a jet of water, which contains abrasive material. Usually the water exits a nozzle at a high speed and the abrasive material is injected into the jet stream. This process is sometimes known as entrainment in that the abrasive particles become part of the moving water much as passengers become part of a moving train. Hence as with a train the water jet becomes the moving mechanism for the particles. However high speed jet of a pre-mixture of the abrasive and the water would also be defined as an abrasive water jet The purpose of the abrasive water jet is to perform some machining or finishing operation such as cutting, boring, turning, etc. II. HEADINGS 1.1 IntroductionManufacturing industry is being ever more time conscious with regard to the global economy. The need for rapid prototyping and small production batches is increasing in modern industries. These trends have placed a premium in the use of new and advanced technologies for quickly turning raw materials in to usable goods; with no time being required for tooling. Abrasive water jet (AWJ) machining technology has been found to be one of the most recent developed advanced non-traditional methods used in industry for material processing with the distinct advantages of no thermal distortion; high machining versatility, high flexibility and small cutting forces. There are several distinguished advantages of AWJ technique. It is less sensitive to material properties and hence does not cause chatter, has no thermal effects, imposes minimal stresses on the work piece, and has high machining versatility and flexibility. www.ijmer.com 3207 | Page
  • 2. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 1.2 Abrasive Water Jet TurninAbrasive water jets are extensively employed for cutting of different materials such as soft and ductile materials to hard and brittle materials. It has become the state of the art in many industries such as automobile, aerospace and many consumable product making industries .Attempts made on AWJ turning include the turning of long and small diameter parts and the production of threads on difficult-to-machine materials like ceramics, composites, glass, etc. 1.3 present worksThe present work is to develop a mathematical model, considering the variation in jet impact angle and kerf geometry, for predicting the final diameter in AWJ TURNING process for ductile and brittle materials. 2.1 IntroductionMany researchers developed a stable abrasive water jet turning process in the field of manufacturing in order to generate high quality products. However extensive works have been reported by varying different process parameters in Abrasive Water Jet Turning.This chapter highlights the literature available on abrasive water jet machining, especially focusing on abrasive water jet turning. It also gives the classification of different types of water jets and discusses the relevance of these jets for abrasive water jet turning. It also includes the description of various components of abrasive water jet machining system, the various theories proposed for explaining the mechanism of material removal in abrasive water jet machining.The water jet cutting, also called hydrodynamic machining, technology was developed in 1968 by Dr. Norman Franze, followed by the first commercial system in 1971. A breakthrough was made by adding abrasive particles to the high pressure stream of water in the early 1980s, immediately followed by the introduction of the first commercial abrasive water jet (AWJ) system in 1983. 2.2 The AWJM Process An abrasive water jet is a jet of water that contains some abrasive material. Abrasives are particles of special materials like aluminum oxide, silicon carbide, sodium bicarbonate, dolomite and/or glass beads with varying grain sizes. Usually the water exits a nozzle at a high speed and the abrasive material is injected into the jet stream. This process is sometimes known as entrainment in that the abrasive particles become part of the moving water much as passengers become part of a moving train. The added abrasives drastically increase the range of materials that can be cut with a water jet. Materials like super alloys, ceramics, glass, and refractory material are typically machined by this process. This process aids in achieving higher traverse speeds, machining of thicker materials, and better edge quality.The abrasive water jet-cutting process is characterized by a large number of process parameters that determine the efficiency, economy and quality of the entire process. In general, the parameters in the abrasive water-jet cutting process can be divided into four categories 1. Hydraulic parameters,– Pump pressure (p)– Water-orifice diameter (do)– Water flow rate (mw)2. Mixing and acceleration parameters– Focus diameter (df)– Focus length (lf)3. Cutting parameters– Traverse rate (v)– Number of passes (np)– Standoff distance (x)– Impact angle (φ)4. Abrasive parameters– Abrasive mass flow-rate (ma)–Abrasive particle diameter (dp)– Abrasive particle size distribution (f (dp))– Abrasive particle shape– Abrasive particle hardness (Hp) III. PROCESS PARAMETER ESTIMATION Determining the optimal process parameters by testing/ experimentation is a time consuming and cost ineffective procedure. The knowledge of a mathematical function that relates the cutting parameters to the cutting results is necessary for a computer controlled cutting process. An important aspect is to estimate some of the most crucial output process parameters using the input parameters. One of the critical input parameters is the depth of cut (dc), which reflects the thickness of the work-piece material to be removed. Many complex mechanisms of material removal and a huge quantity of particles involved in the process produce a strongly nonlinear and stochastic behavior of the system. The generated surface depends on several machining parameters and work piece properties. Because the AWJ process is a dynamic system, the interactions of the system inputs (machining parameters and work piece properties) play an important role on process evolution.From the technological point of view, the most interesting machining parameters are the cutting head traverse rate, the water pressure, the abrasive mass flow rate and the stand-off distance between the mixing tube and the work piece. All these parameters can be controlled during AWJ machining. Other parameters, like cutting head components’ geometry, abrasive properties and work piece material properties are unchanged during the process.As explained earlier by many researchers in the field of abrasive water jet turnining, much work is to be carried out to find the critical diame 3.1 Introduction:Abrasive water jet turning (AWJT) is a new process that holds promise for efficient machining of difficult to machine materials. The process uses abrasive water jet as a cutting tool that deflects from its trajectory upon interaction with the work piece. Therefore, the final work piece diameter, in addition to depth of cut, is a function of abrasive water jet, work piece and turning parameters. Here an initial attempt is made to model the AWJ turning process that is based on existing models of erosion. A new approach is to predict the process parameters in Abrasive Water Jet (AWJ) turning. The methodology involves the application of Finnie’s theory of erosion for estimation of volume of material removed assuming the impact of jet on the work piece surface at an angle to account for the curvature of work piece. 3.2 Characteristics of AWJ machining: AWJ machining technology has been increasingly used since it has various distinguished advantages over other cutting processes  No thermal damage or distortion. The heat generated is instantaneously carried away by the water. As a result, no temperature rise occurs in the work piece. This is especially useful for cutting thermal sensitive materials and other metals where excessive heat may change the properties of the material. www.ijmer.com 3208 | Page
  • 3.       International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 Ability to produce contours. Abrasive water jets are exceptionally good at two-dimensional machining. It is possible to cut very complicated shapes or bevels of any angle in addition to three-dimensional profiling because the process is unidirectional. High machining versatility. An abrasive water jet can cut virtually any materials, particularly for machining many difficult-to-machine materials such as pre-hardened steels, titanium alloys, copper, brass and aluminum, brittle materials like glasses, ceramics and quartz.. High initial capital and operating costs. For most industrial applications, the investment and operating costs are very high. Low nozzle life: The AWJ nozzle suffers from wearing by particles, which tends to produce unacceptable cut quality. Low energy efficiency: In the AWJ machining process, material removal is caused primarily by abrasives. The kinetic energy of abrasives is less than 10% of the total energy of the water stream in an AWJ system. The water stream retains a significant amount of energy until it is collected in an energy-dissipating container. Low energy efficiency: In the AWJ machining process, material removal is caused primarily by abrasives. The kinetic energy of abrasives is less than 10% of the total energy of the water stream in an AWJ system. The water stream retains a significant amount of energy until it is collected in an energy-dissipating container. 3.3 Mechanism of Material Removal in AWJ Machining.Material removal in the case of AWJs is due to the erosion caused by the impact of high velocity abrasive particles on the material. Abrasives strike the work piece at approximately one million collisions per second thus transferring a large amount of kinetic energy to the work material. The damage caused to the material by the high speed impact of particles entrained in a fluid system is called erosion. 3.4 Micro cutting mechanisms. 3.5.Abrasive Water Jet Turning .A novel turning technique that employs abrasive water jet as cutting tool was proposed [6]. Abrasive water jet turning (AWJT) is a new process that holds promise for efficient machining of difficult to machine materials. The configuration of AWJ turning is similar to that of a conventional lathe, except that an AWJ is used as a cutting tool. An AWJ is formed by mixing solid abrasive particles with high velocity water jet in a specially designed nozzle assembly. The high velocity water jet is obtained by passing water at pressure upto 380 MPa through a small sapphire orifice less than 1 mm in diameter. The abrasive particles are entrained in water downstream of the orifice with the help of a vacuum pressure that exits around the water jet. The impact of high velocity abrasive particles with the work piece causes material removal, which can generally be classified as erosive wear. 3.6 PARAMETERS INVOLVED IN AWJ CUTTING 3.6.1 Input parameters:  Hydraulic parameters:Water jet pressure , Water jet diameter  Target material: Fracture strength, Hardness , Ductility  Mixing parameters: Mixing tube diameter , Mixing tube length  Cutting parameters: Traverse speed , Standoff distance ,Angle of attack  Abrasive parameter :Abrasive particle size ,Abrasive material ,Abrasive flow rate ,Abrasive condition (dry or slurry) 3.6.2. Output parameters:  Kerf characteristicsSurface waviness ,Kerf width and taper ,Burr formation ,Surface finish, Depthofcut  Geometrical and dimensional accuracy ,Material removal rate 3.7 MOTIVATION:  AWJ TURNING is the promising method to machine hard, brittle and difficult to machine material  Scope for optimizing the parameters to improve the process efficiency [4].  Very few attempts to model the AWJ TURNING.  The existing AWJ turning models [2] does not considering varying impact angle. www.ijmer.com 3209 | Page
  • 4. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 3.8. OBJECTIVE and SCOPE OF THE WORK: The objective of the present work is to develop a mathematical model, considering the variation in jet impact angle and kerf geometry, for predicting the final diameter in AWJ TURNING process for ductile and brittle materials. The scope of the present work is limited to the development of an approach for predicting the overall geometry of kerf and final diameter achieved while turning ductile materials using AWJ. IV. INDENTATIONS AND EQUATIONS 4.2..IMPORTANCE OF MATHEMATICAL MODELING The important controlling process parameters in AWJ cutting include water pressure (P), jet traverse rate (V), abrasiveflowrate(Mf)anddiameteroffocusingnozzle(df). Inthisstudy,depthof cuthasbeenchosenasthemainprocess response characteristicsto investigatetheinfluenceof theaboveparameters.We firstdevelopa mathematicalmodelto relatetheprocesscontrolparametersto theprocessresponse characteristics. The empiricalmodel for the prediction of depth ofcutinterms ofthecontrolling parameters willbe establishedbymeansofpiecewiselinearregressionanalysis. 4.2.1 Solving Ansari and Hashish [2] model using numerical methods It was attempted in the present work to solve the existing model to obtain the final results using numerical methods through a MATLAB program. While solving that equation by using numerical methods, results of the solved equation are imaginary and do not have reasonable values. Hence, a modified approach was developed based purely on the geometry of the part to predict the final diameter of part turned using AWJ. 4.2.2 Modified approach: From the geometry  r   cos    i   r  h h sin    t   r  r 2   ri      ht  h  2 r   ri    2 h  r t i 2  ri    2  1 2 2 1   2 2    ri 2   ri      h      2 2 Fig.4.1 Work piece geometry r 2   ri      ht  h  2 so, ,By solving r   ri 2  2hht  h 2  dr  Differentiating above eqn. so r   ri    2 1 2  h  ht   ri2  2hht  h2  1 2 2 1   2 2    ri 2   ri      h      2 dh 2 Elemental volume removal rate (from the geometry): . d v  2 r  dr  u . d v  2  ht  h  udh When solving above eqn., the result is quartic Ah 4  Bh3  Ch 2  Dh  E  0 www.ijmer.com (I) 3210 | Page
  • 5. www.ijmer.com Where International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 A 1 C  4ht2  ri 2 E  3Kre2  2 Kre ht    B    4ht    D   2ht ri2  2 Kre  re  ri   2 ma v a K 8u 4.3 MODELING OF KERF GEOMETRY.In the previous chapter, it was seen that modified approach was discarded. In order to estimate the volume of material removed, previous works (Manu & Ramesh Babu) [4] assumed kerf profile to be rectangular. Analysis of kerf profile using optical profile projector showed that this is not true. The purpose of this work is to develop an approach for predicting the overall geometry of kerf turned with AWJs. Since the geometry of kerf depends on several process parameters such as water pressure, abrasive mass flow rate and jet traverse rate, it is essential to consider all these parameters for developing suitable relations for predicting the kerf geometry. Fig. 4.3 Kerf profile got from optical profile projector 4.5 PREDICTION OF KERF PROFILE .To predict the shape of kerf produced by AWJ traversed over the work material, the proposed analysis first considers a uniform distribution of energy in the jet to predict the kerf shape and then introduces a function to obtain the kerf shape with non-uniform distribution of energy in the jet. Fig. 4.4 Sschematic diagram showing the kerf formation in abrasive water jet turning Fig. 4.5 Jet moving on imaginary line L 4.5.1 Uniform distribution of energy: Kerf profile produced on the material with AWJ having uniform distribution of energy can be determined with the above relation. By substituting x= 0 and x = R, one can determine the maximum and minimum depth of kerf at the center and at the edges and are given by www.ijmer.com 3211 | Page
  • 6. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 For uniform distribution of energy across the jet, Kerf shape showing depth hi(x) at a distance x Fig. 4.6 kerf shape for uniform distribution of energy across the jet 4.5.2 Non-Uniform distribution of energy: Let the EI is the rate of energy per unit area per unit time at any radius r in the cross section of the jet. Emax is the maximum rate of energy per unit area per unit time in the cross section of jet. Let the variation in the energy of the jet over its cross section be represented by a function fI The value of fI varies from 0 to 1 from the periphery to center of the jet Fig. 4.7 Distribution of energy in abrasive water jet having non-uniform energy distribution V. FIGURES AND TABLES To develop these relations, AWJ having non-uniform energy distribution was considered. In fact, the energy distribution in the jet is non-uniform and is the resultant of the bell shaped distribution of velocity in the jet. The present work considers different non-uniform distributions while developing the relation for predicting the kerf shape produced by AWJs. By comparing the predicted shape of kerf with the shape of kerf observed from the experiments, the function that represents the distribution of energy in the jet was chosen. After identifying the distribution of energy in the jet, this particular jet produces a kerf on a particular material. The width of kerf is considered as the effective diameter of jet that interacts with material in generating kerf. This chapter covers the predicted results, discussion validation. Schematic of AWJM kerf 5.2 SELECTION OF ENERGY DISTRIBUTION FUNCTION IN THE JET Here function meansthe variation in the energy of the jet over its cross section be represented by a function f(r). To determine the function f(r), various distributions such as Gaussian, exponential, sine and cosine functions were considered to predict the kerf shape. As it is important to know the distribution of energy in the jet for developing the relations for predicting the geometry of kerf, the distribution of energy in the jet was identified by comparing the kerf observed on the material with the kerf predicted with different distributions. As explained earlier, a set of experiments were conducted to produce kerf on work material at various surface speeds, for the purpose of comparing these kerf profiles with the kerf predicted using the various functions (f(r)) like sine, cosine and exponential functions for representing the non-uniform variation of energy in the jet.The function f(r) is chosen in such a way that the predicted kerf profile is closest to observed kerf profile. The simulation experiments were conducted by varying the surface speeds 1000mm/s, 2000 mm/s, 3000 mm/s, 4000 mm/s. The different functions that were chosen to represent the energy distribution are given in table below.Profiles with the kerf predicted using the various functions (f(r)) like sine, cosine and exponential functions for representing the nonuniform variation of energy in the jet.The function f(r) is chosen in such a way that the predicted kerf profile is closest to observed kerf profile. The simulation experiments were conducted by varying the surface speeds 1000mm/s, 2000 mm/s, www.ijmer.com 3212 | Page
  • 7. International Journal of Modern Engineering Research (IJMER) www.ijmer.com Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 3000 mm/s, 4000 mm/s. The different functions that were chosen to represent the energy distribution are given in table below Distribution Sine Exponential Cosine Function f(r) (1-sin(πr/2R)) (1-exp((r/R)-1)) 0.5* (1+cos (πr/R) .By substituting the above functions in equation (3.16) and then integrating that equation, the height of kerf at any point on the kerf can be determined. A MATLAB program was written for predicting the kerf profile and finding the area under the kerf for each function. kerf profile for function of (1-exp(r/R-1)) at different surface speeds 0.5 1  e 0 Kerf height (mm) -0.5 r / R 1  -1 -1.5 -2 s= s= s= s= -2.5 -3 -0.8 1000 2000 3000 4000 -0.6 mm/min mm/min mm/min mm/min -0.4 -0.2 0 Radius (mm)  0.2 0.4 0.6 0.8  the kerf profile generated using exponential function 1  er /.R 1 It can be seen that in some region the profile depth is taking a positive depth, whereas the kerf profile depth must be negative kerf profile for function of 0.5(1+cos(pi*r/R)) at different surface speed 0 -0.5 Kerf height (mm) -1 0.5  1  cos  r / R  -1.5 -2 -2.5 s= s= s= s= -3 -3.5 -0.8 1000 2000 3000 4000 -0.6 mm/min mm/min mm/min mm/min -0.4 -0.2 0 Radius (mm) 0.2 0.4 0.6 0.8 Profile comparison for function at different traverse rate presented the profiles obtained using cosine and sine functions respectively. It can be seen that profiles are similar to observed kef profiles. Here also max. depth of kerf decrease with increase in surface speed. Profile shown in Figs 5.2, 5.3 and 5.4 satisfy the boundary condition i.e at the centre of the jet (radius =0) kerf height is maximum and at the extreme ends of the jet (radius =R and radius = -R) kerf height is zero. kerf profile for function of (1-sin(pi*r/2R)) at different surface speed 0 -0.5 Kerf height (mm) -1 1  sinr / 2R  -1.5 -2 -2.5 s= s= s= s= -3 -3.5 -4 -0.8 -0.6 1000 2000 3000 4000 -0.4 mm/min mm/min mm/min mm/min -0.2 0 Radius (mm) 0.2 0.4 0.6 0.8 Fig. 5.4 Profile comparison for1  sin r / 2 R  traverse rate function at different www.ijmer.com 3213 | Page
  • 8. www.ijmer.com International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 Fig.5.5 Profile comparison for 3 functions comparision between different functions 0.2 0 kerf height (mm) -0.2 -0.4 -0.6 -0.8 0.5*(1+cos(pi*r/R)) (1-e(r/R)-1) (1-sin(pi*r/2R)) -1 -1.2 -0.8 -0.6 -0.4 -0.2 0 Radius (mm) 0.2 0.4 0.6 0.8 Fig. 5.5 presented the comparison of the 3 profiles obtained using 3 different distribution functions. In order to selected the most suitable one to represent the actual kerf profile , the area under each profile is compared with the actual area of the kerf. Here the atual area of the kerf is taken from the ‘kerf shape drawn with optical profile projector’. That profile is redrawn on graph paper and the area obtained by counting the no. of units inside the kerf. Where as area for the particular function is obtained directly from the MATLAB program. Functions Surface speed (mm/min) s = 4000 0.5*(1+ cos(П r/R)) 1-sin(П r/2*R)) 1-e((r/R)-1) Actual 0.5152 0.5166 0.4512 0.5600 s = 3000 s = 2000 s = 1000 0.8082 1.1444 1.6532 0.8104 1.1482 1.6576 0.7078 1.0102 1.4478 0.9220 1.1684 1.6320 Table 5.2 Comparison of kerf area in mm2 From the table 4.2 it can be seen that sine function is closest to actual area of the kerf. So the sine function is considered as energy distribution function in the jet. By substituting the sine function in eqn. (3.16). Final equation for the Kerf profile depth at any distance x from the center of kerf is obtained as Surface (mm/min) s = 4000 s = 3000 s = 2000 s = 1000 Table 5.3 Error unpredicted kerf area for selected function Functions speed 1-sin(П r/2*R)) Actual Error (%) 0.5166 0.8104 1.1482 1.6576 0.5600 0.9220 1.1684 1.6320 www.ijmer.com -7.75 -12.104 -1.73 1.57 3214 | Page
  • 9. www.ijmer.com International Journal of Modern Engineering Research (IJMER) Vol. 3, Issue. 5, Sep - Oct. 2013 pp-3207-3215 ISSN: 2249-6645 VI.       CONCLUSION In the present work, a new approach to predict the kerf geometry in Abrasive Water Jet Turning has been developed. The nature of interaction of jet with material and the material removal from part surface could be represented using Finnie’s theory of erosion. The energy distribution in the jet has been used as the basis for predicting the kerf geometry. Among the various distributions considered, the sine function was found to represent the variation of energy in the abrasive water jet very well, predicting the kerf shape close to the observed shape. The predicted maximum depth of kerf was in turn used to estimate the final diameter of turned part under various process parameter combinations. The final diameters predicted using this approach were in agreement (R 2 = 0.94) with experimental results from literature. FUTURE WORK  Modification of the developed model employing other theories of erosion  Employing other functions for representing kerf profile  Modeling of AWJT of brittle materials.  Modeling of AWJT using FEM. REFERENCES [1.] [2.] [3.] [4.] [5.] [6.] [7.] [8.] [9.] [10.] [11.] [12.] [13.] [14.] [15.] [16.] [17.] [18.] [19.] [20.] [21.] Hualui, A Study of the cutting performance in Abrasive Water jet Contouring of Alumina Ceramics and Associated Jet Dynamic Characteristics, Ph. D thesis, (Queensland University of Technology) . Ajmal I Ansari , Mohamed Hashish, On the modeling of abrasive water jet turning, Jet Cutting Technology, edited by A. Lichtarowicz, Proceedings of the Published by Kluwer Academic Publishers, Dordrecht, Nethelands, 1992, pp.555-576. N. Prasankumar ,Modeling and analysis of pockets milled with abrasive water jet, M.S Thesis, (IIT Madras) . R. Manu and N. Ramesh Babu, Estimation of Process Parameters in Abrasive Water Jet Turning of Parts, Tehran International Congress on Manufacturing Engineering (TICME2005) December 12-15, 2005, Tehran, Iran. Hashish M (1998) Water jet advances in field and factory. Proceedings of 5th Pacific Rim International Conference on Water jet Technology, New Delhi, India 231-246 Hashish M (1984) A modeling study of metal cutting with abrasive water jets. Transactions of ASME Journal of Engineering for Industry 106:88-100 Louis H (1998) Abrasive water jets: A Review. Proceedings of 5th Pacific Rim International Conference on water jet technology, New Delhi, India 321-329 Momber A, Kovacevic R (1988) Principles of abrasive water jet machining. Springer-Verlag, London Hashish M (1991) Optimization factors in abrasive water jet machining. Transactions of ASME Journal of Engineering for Industry 113:29-37 Momber A. Pfeiffer, Kovacevic R, Schunemann (1996) The Influence of abrasive grain size distribution parameters on the abrasive water jet machining process. Proceedings of the 1996 24th NAMR1 conference, Society of Manufacturing Engineers MR96 (115): 1-6 Member A, Kovacevic R (2000) Particle size distribution influence in high speed erosion of aluminum. Particle Science and Technology 18:199-212 Labus T, Neusen K, Alberts D, Gores T (1991) Factors influencing the particle size distribution in an abrasive water jet. Transactions of the ASME, Journal of Engineering for Industry 113:402-411 KrishnaiahChetty OV, Ramesh Babu N (1999) some investigations on abrasives in abrasives water jet machining. Proceeding of 10th American waterjet conference, Waterjet Technology Association, USA: 419-430 KanthaBabu M, KrishnalahChetty OV (2001) Studies on the use of local abrasives in abrasive waterjet machining. Proceedings of 17th International conference on CAD/CAM, Robotics and Factories of Future, Durban, South Africa: 150—156 KanthaBabu M, KrishnaiahChetty OV (2001) Abrasive water jet machining of aluminium with local abrasives. Proceedings of 1 lth American Water Jet Conference, Water Jet Technology Association, Minneapolis, USA: 325-341 Guo N, Louis H, Meier G, Ohlsen J (1992) Recycling capacity of abrasives in Abrasive Water Jet cutting. Proceedings of 1 lth International conference on Jet Cutting Technology, Scotland 503-523 Hashish M (1989) A model for abrasive water jet machining. Transactions of the ASME, Journal of Engineering Materials and Technology 111:154—162 Matsumoto K, Arasawa H, Yamaguchi S (1998) A study of the effect of abrasive material on cutting with abrasive water jet. Proceedings of 9th International symposium of jet cutting technology, Sendal, Japan 255-269 KanthaBabu M, KrishnaiahChetty OV (2002) Studies on recharging of abrasives in abrasive waterjet machining. International Journal of Advanced Manufacturing Technology, Springer-Verlag, London 19:697-703 KanthaBabu M, KrishnaiahChetty OV (2003) A study on recycling of abrasives in abrasive waterjet machining. International Journal of Wear, Elsevier Science, Ireland 254:763-773 KanthaBabu M, KrishnaiahChetty OV (2003) Studies on abrasive water jet machining of black granite through design of experiment. International Journal of Experimental Techniques, September: 49-54 www.ijmer.com 3215 | Page