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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume: 3 | Issue: 3 | Mar-Apr 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 - 6470
@ IJTSRD | Unique Paper ID – IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1708
Experimental Investigations and Computational
Analysis on Subsonic Wind Tunnel
Rishabh Kumar Sahu, Saurabh Sharma, Vivek Swaroop, Vishal Kumar
B.Tech Student, Department of Mechanical Engineering,
ABES Engineering College, Ghaziabad, Uttar Pradesh, India
How to cite this paper: Rishabh Kumar
Sahu | Saurabh Sharma | Vivek Swaroop
| Vishal Kumar "Experimental
Investigations and Computational
Analysis on Subsonic Wind Tunnel"
Published in International Journal of
Trend in Scientific Research and
Development
(ijtsrd), ISSN: 2456-
6470, Volume-3 |
Issue-3, April 2019,
pp.1708-1711, URL:
https://www.ijtsrd.c
om/papers/ijtsrd23
511.pdf
Copyright © 2019 by author(s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an Open Access article
distributed under
the terms of the
Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/
by/4.0
ABSTRACT
This paper disclose the entire approach to design an open circuit subsonic wind
tunnel which will be used to consider the wind impact on the airfoil.The current
rules and discoveries of the past research works were sought after for plan
figuring of different segments of the wind tunnel. Wind speed of 26 m/s have
been practiced at the test territory. The wind qualities over asymmetrical airfoil
are viewed as probably in a low speed wind tunnel. Tests were finished by
moving the approach, from 0 to 5 degree. The stream attributes over a
symmetrical airfoil are examined tentatively. The pressure distribution on the
airfoil area was estimated, lift and drag force were estimated and velocity
profiles were acquired.
1. INTRODUCTION
The wind tunnel is an instrument to think about fluid flow
around a body and the forces generated by the fluid-
structure interaction. A wind tunnel experiment gives the
pressure and forces values on the model and the stream
perception. In perspective on the course through the entry
circuit, the wind tunnel is of two types, open type and closed
type. In open type, surrounding air enters from one side and
exits to the environment ensuing to coursing through the
section. The fundamental objective of wind tunnel
configuration is to include uniform stream inside the test
chamber. Test chamber measurementreliesuponthekind of
test to be performed and the degree of the model to be
attempted. The wind tunnel'sgeneralmeasurements are key
factors in its advancement and running costs. The trade-off
is required between the restricting requirements to get a
reasonable structure of the wind tunnel, fulfilling the test
prerequisites, space andbudget constraints.Basicpartsof an
open type wind tunnel are the test area, contraction cone,
diffuser, settling chamber and driving unit (Axial fan).
2. COMPONENTS OF WIND TUNNEL
2.1 INLET/SETTLING CHAMBER
The purpose of a settling chamber containing honeycombs
and screens is to reduce the stream turbulence before it
enters the cone. An assurance of honeycomb and screens for
a wind tunnel is especially dependent on the test type to
which the passage is arranged. The honeycomb removesthe
twirl from the approaching stream and restricts the
assortment in both mean and fluctuating pace. The essential
design parameter for honeycomb is the proportion of length
to cell hydraulic diameter (L/D) and porosity (stream zone
upon full scale area). Recommended L/D extent for
honeycomb is 6 to 8 with porosity about 0.8. Screens are set
in the settling chamber for the lessening of disturbance
dimension of moving toward stream, this parts up the
colossal scale violent whirlpools into different little scale
swirls. To viable in lessening choppiness screen must have
porosity in the range 0.58-0.89
Fig 2.1 Settling Chamber
IJTSRD23511
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1709
2.2 CONTRACTION CONE
The contraction quickens the stream to the test section,
further diminishing any varieties in speed. The contraction
begins with the determination of contraction ratio. For
smaller tunnel the compressionproportion should be amidst
6 to 9. A withdrawal design satisfying all criteria will be to
such an extent that the division is just stayed away from and
the exit non-consistency is identical to or less the greatest
decent dimension for the ideal application in most
constrained possible length.
Fig 2.2 Contraction Cone
2.3 TEST SECTION
The wind tunnel configuration begins with choosing thetest
area watching out for the availability and establishment of
the test model and instrumentation.Thetest chamber length
must be in the extent of 0.5-3 times its hydraulic diameter.
The test chamber is being proposed to test the scaled model
of airfoil area. The pressure loss coefficient continues
expanding with increment in the test area. So the length of
test territory should be as little as could reasonably be
expected. The length of the test chamber was set to 1.25 m
for instance 2.215 times the hydraulic diameter of the test
segment.
Fig 2.3 Test Section
2.4 DIFFUSER
The diffuser is dominatingly used to diminish the speed of
stream in the most limited conceivable separation to
decrease the heap on drive framework. The move through
the diffuser depends upon its geometry portrayed by zone
proportion (extent of outlet area to the inlet region) and
diffuser edge (2θ), divider form and diffuser cross-sectional
shapes. The present tunnel the previously mentioned
proportion is 1.9:1, which was managed by the cross-
sectional zone of the test area, the size of the fan. The
resultant included edge is 5.5° in either the vertical or
horizontal plane.
Fig 2.4 Diffuser
2.5 FAN
The drive framework repays the misfortune in the circuit
and chooses the development of the fluid through the test
segment. For an air tunnel, two fundamental drive
frameworks are a blower and fan. For our circumstance, an
axial fan will be used as these are high proficient and
produce air current with less choppiness. The power
required to keep up reliable consistent course through the
wind tunnel is proportionate to the complete misfortune
occurring in the move through the passage. These
misfortunes are a result of the motor vitality being scattered
by vorticity and unsettling influence.
Fig 2.5 Fan
3. APPARATUS AND INSTRUMENTAION
The analysis was led in the fluid mechanics research facility
in which subsonic wind tunnel is located. This is a low speed
open type wind tunnel. Airfoil used is mounted in the center
of test section. It has complete 21 in harmony, expanded the
full width of the passage. A handle outsideof thewind tunnel
and appended to the airfoil was utilized to change the
approach. This was resolved utilizing a protractor
additionally mounted outwardly of the test area. For
measuring free stream velocity a pitot tube is used. A multi
meter manometer is used to note pressure at various
pressure taps on airfoil.
Fig3. Airfoil Section (Testing model)
4. EXPERIMENTAL PROCEDURE AND CALCULATION
Firstly, free stream velocity is calculated by measuringstatic
pressure and stagnation pressure (total pressure)
Pt = Ps+ (ρV2/2)
U = √ [2(pt - ps)/ρ]
The airfoil was set at a 0 degree approach and the wind
tunnel worked at around required speed. The pressure at
each pressure taps on the airfoil is noted which are further
used to calculate coefficient of pressure. By knowing free
stream velocity Reynolds Number could be calculated,
Re=U*c/ν where u is free stream velocity, c is chord length
and ν is kinematic viscosity.
As free stream velocity has been found, Mach number could
be achieved
M=free stream velocity/speed of sound
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1710
4.1 MEASUREMENT OF LIFT AND DRAG
Drag force is the force that opposes the development of a
strong article through a fluid. The drag force is made up of
frictional force and pressure force components acting along
the direction of flow, coordinated everywhere throughout
the outside of the body. The drag force is particularlysubject
to the state of the body that outcomes in confused formulae
for drag force. Hence, the drag equation is utilizing the drag
coefficient approach. In this methodology the drag force is
related to the stagnation pressure ½ρU2/2 and uncovered
territory A. The uncovered territory is taken as anticipated
zone parallel to fluid stream for comfort. The relationship is
communicated as
Fd = ½CdAρU2/2
where Cd is coefficient of drag, ρ is density of fluid, A is
projected area.
If the body is symmetric about the direction of flow or vice
versa or it is like straight vertical or horizontal flat plate,
only drag force act on the body. If the plate is having some
angle of attack, a vertical component of resultant force acts
which is called lift force, which is calculated as
Fl = ½ClAρU2/2
where Cl is coefficient of lift.
4.2 CALCULATION OF COEFFICIENT OF PRESSURE
It defines relative pressure in fluid flow. It is defined
Cp = change in static pressure/dynamic pressure
Cp =2(P2-P1)/ ρU2
where P2 is atmospheric pressure and P1 ispressureateach
pressure tap.
Graph 4.2.1-Relation between Cp v/s distance from
leading edge
4.3 DISTRIBUTION OF COEFFICIENT OF PRESSURE
The weight coefficient of the airfoil's upper surface was
negative and the lower surface was certain, alongtheselines
lift drive on airfoil is upward way. We can in like manner see
that coefficient of weight distinction is significantly greater
on the front edge, while on the back edge it is much lower,
consequently showing that the lift power of the airfoil of the
airfoil is generally made from the front edge.
5. VALIDATION OF RESULTS AND DISCUSSIONS
The analysis is done for 0 degree approach. The static
pressure plot and velocity plot are used for analysis.
Fig5.1- Pressure distribution at 0 degree approach.
Fig 5.2- Velocity distribution at 0 degree approach.
Fig 5.3-Calculation of drag
Drag comes out to be 5.863 N
Fig 5.4-Calculation of lift
Lift comes out to be 0.316 N
Fig 5.5-Graph depicting values of Coefficient of Drag
International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1711
Fig 5.6-Graph depicting values of Coefficient of Lift
6. CONCLUSIONS AND FUTURE SCOPE
With the assistance of CFD software ANSYS-Fluent, effective
examination of streamlined execution of airfoil areahasbeen
conveyed at 0 degree approach utilizing k-epsilon viscous
model. The pressure coefficient on upper surface was
negative and positive on lower surface, in this way lift on
airfoil is upward way. The coefficient of pressure difference
is a lot bigger on the front edge while on the trailing edge it
was much lower.. The graph of coefficient of lift obtained
signifies that lift first increases on leading edge and then
becomes constant moving towards trailing edge. As angle of
attack is taken 0 degree value of lift obtained is very low.
Experimental values differ from validation values due to
difference in geometry and dimension of enclosure i.e. test
section.
This test could be performed later on different geometries
like spherical body, cylindrical body, buildings,automobiles,
etc under different stream velocity.
REFERENCES
[1] Patel, Karna S., et al. “CFD Analysis of an aerofoil.”
International Journal of Engineering Research
3.3(2014):154-158.
[2] Kevadiya MayurKumar. “CFD Analysis of Pressure
Coefficient for NACA 4412.”International Journal of
Engineering Trends and Technology, Chennai 4.5
(2013):2041-2043.
[3] Bhushan S. Patil, Hitesh R. Thakare, Computational
Fluid Dynamics Analysis of Wind Turbine Blade at
Various Angles of Attack and different Reynolds
Number, Procedia Engineering,127(2015), 1363-1369
M. Wegmuller, J. P. von der weid, P. Oberson, and N.
Gisin, “High resolution fiber distributedmeasurements
with coherent OFDR,” in Proc. ECOC’00, 2000, paper
11.3.2, p.109.
[4] Novel Kumar Sahu, Mr. Shadab Imam, Analysis of
subsonic flow over an airfoil NACA 0012 using CFD,
International Journal of Innovative Science,
Engineering & Technology, Vol. 2 Issue 4,
April 2015 J. Padhye, V. Firoiu and D. Towsley,
“Astochastic model of TCP Renocongestion avoidance
and control,” Univ. of Massachusetts, Amherst, MA,
CMPSCI tech. Rep. 99-02, 1999.
[5] Mohamed A. Fouad Kandil, Abdelrady Okasha Elnady,
“CFD Analysis of GOE 387Airfoil”, IOSR Journal of
Mechanical and Civil Engineering(IOSR-JMCE),Volume
14-Issues 5, Sep. – Oct. 2017, PP 80-85.
[6] Fluent 2013 Theory Guide.
[7] Abott, I. H. and von Doenhoff, A. E., “Theory of Wing
Sections, ”Dover Publications, New York, 1959.
[8] Fox, R. W., & McDonald, A. T. (1973). Introduction to
Fluid Mechanics. John Wiley & Sons, Inc.

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Experimental Investigations and Computational Analysis on Subsonic Wind Tunnel

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume: 3 | Issue: 3 | Mar-Apr 2019 Available Online: www.ijtsrd.com e-ISSN: 2456 - 6470 @ IJTSRD | Unique Paper ID – IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1708 Experimental Investigations and Computational Analysis on Subsonic Wind Tunnel Rishabh Kumar Sahu, Saurabh Sharma, Vivek Swaroop, Vishal Kumar B.Tech Student, Department of Mechanical Engineering, ABES Engineering College, Ghaziabad, Uttar Pradesh, India How to cite this paper: Rishabh Kumar Sahu | Saurabh Sharma | Vivek Swaroop | Vishal Kumar "Experimental Investigations and Computational Analysis on Subsonic Wind Tunnel" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456- 6470, Volume-3 | Issue-3, April 2019, pp.1708-1711, URL: https://www.ijtsrd.c om/papers/ijtsrd23 511.pdf Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/ by/4.0 ABSTRACT This paper disclose the entire approach to design an open circuit subsonic wind tunnel which will be used to consider the wind impact on the airfoil.The current rules and discoveries of the past research works were sought after for plan figuring of different segments of the wind tunnel. Wind speed of 26 m/s have been practiced at the test territory. The wind qualities over asymmetrical airfoil are viewed as probably in a low speed wind tunnel. Tests were finished by moving the approach, from 0 to 5 degree. The stream attributes over a symmetrical airfoil are examined tentatively. The pressure distribution on the airfoil area was estimated, lift and drag force were estimated and velocity profiles were acquired. 1. INTRODUCTION The wind tunnel is an instrument to think about fluid flow around a body and the forces generated by the fluid- structure interaction. A wind tunnel experiment gives the pressure and forces values on the model and the stream perception. In perspective on the course through the entry circuit, the wind tunnel is of two types, open type and closed type. In open type, surrounding air enters from one side and exits to the environment ensuing to coursing through the section. The fundamental objective of wind tunnel configuration is to include uniform stream inside the test chamber. Test chamber measurementreliesuponthekind of test to be performed and the degree of the model to be attempted. The wind tunnel'sgeneralmeasurements are key factors in its advancement and running costs. The trade-off is required between the restricting requirements to get a reasonable structure of the wind tunnel, fulfilling the test prerequisites, space andbudget constraints.Basicpartsof an open type wind tunnel are the test area, contraction cone, diffuser, settling chamber and driving unit (Axial fan). 2. COMPONENTS OF WIND TUNNEL 2.1 INLET/SETTLING CHAMBER The purpose of a settling chamber containing honeycombs and screens is to reduce the stream turbulence before it enters the cone. An assurance of honeycomb and screens for a wind tunnel is especially dependent on the test type to which the passage is arranged. The honeycomb removesthe twirl from the approaching stream and restricts the assortment in both mean and fluctuating pace. The essential design parameter for honeycomb is the proportion of length to cell hydraulic diameter (L/D) and porosity (stream zone upon full scale area). Recommended L/D extent for honeycomb is 6 to 8 with porosity about 0.8. Screens are set in the settling chamber for the lessening of disturbance dimension of moving toward stream, this parts up the colossal scale violent whirlpools into different little scale swirls. To viable in lessening choppiness screen must have porosity in the range 0.58-0.89 Fig 2.1 Settling Chamber IJTSRD23511
  • 2. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1709 2.2 CONTRACTION CONE The contraction quickens the stream to the test section, further diminishing any varieties in speed. The contraction begins with the determination of contraction ratio. For smaller tunnel the compressionproportion should be amidst 6 to 9. A withdrawal design satisfying all criteria will be to such an extent that the division is just stayed away from and the exit non-consistency is identical to or less the greatest decent dimension for the ideal application in most constrained possible length. Fig 2.2 Contraction Cone 2.3 TEST SECTION The wind tunnel configuration begins with choosing thetest area watching out for the availability and establishment of the test model and instrumentation.Thetest chamber length must be in the extent of 0.5-3 times its hydraulic diameter. The test chamber is being proposed to test the scaled model of airfoil area. The pressure loss coefficient continues expanding with increment in the test area. So the length of test territory should be as little as could reasonably be expected. The length of the test chamber was set to 1.25 m for instance 2.215 times the hydraulic diameter of the test segment. Fig 2.3 Test Section 2.4 DIFFUSER The diffuser is dominatingly used to diminish the speed of stream in the most limited conceivable separation to decrease the heap on drive framework. The move through the diffuser depends upon its geometry portrayed by zone proportion (extent of outlet area to the inlet region) and diffuser edge (2θ), divider form and diffuser cross-sectional shapes. The present tunnel the previously mentioned proportion is 1.9:1, which was managed by the cross- sectional zone of the test area, the size of the fan. The resultant included edge is 5.5° in either the vertical or horizontal plane. Fig 2.4 Diffuser 2.5 FAN The drive framework repays the misfortune in the circuit and chooses the development of the fluid through the test segment. For an air tunnel, two fundamental drive frameworks are a blower and fan. For our circumstance, an axial fan will be used as these are high proficient and produce air current with less choppiness. The power required to keep up reliable consistent course through the wind tunnel is proportionate to the complete misfortune occurring in the move through the passage. These misfortunes are a result of the motor vitality being scattered by vorticity and unsettling influence. Fig 2.5 Fan 3. APPARATUS AND INSTRUMENTAION The analysis was led in the fluid mechanics research facility in which subsonic wind tunnel is located. This is a low speed open type wind tunnel. Airfoil used is mounted in the center of test section. It has complete 21 in harmony, expanded the full width of the passage. A handle outsideof thewind tunnel and appended to the airfoil was utilized to change the approach. This was resolved utilizing a protractor additionally mounted outwardly of the test area. For measuring free stream velocity a pitot tube is used. A multi meter manometer is used to note pressure at various pressure taps on airfoil. Fig3. Airfoil Section (Testing model) 4. EXPERIMENTAL PROCEDURE AND CALCULATION Firstly, free stream velocity is calculated by measuringstatic pressure and stagnation pressure (total pressure) Pt = Ps+ (ρV2/2) U = √ [2(pt - ps)/ρ] The airfoil was set at a 0 degree approach and the wind tunnel worked at around required speed. The pressure at each pressure taps on the airfoil is noted which are further used to calculate coefficient of pressure. By knowing free stream velocity Reynolds Number could be calculated, Re=U*c/ν where u is free stream velocity, c is chord length and ν is kinematic viscosity. As free stream velocity has been found, Mach number could be achieved M=free stream velocity/speed of sound
  • 3. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1710 4.1 MEASUREMENT OF LIFT AND DRAG Drag force is the force that opposes the development of a strong article through a fluid. The drag force is made up of frictional force and pressure force components acting along the direction of flow, coordinated everywhere throughout the outside of the body. The drag force is particularlysubject to the state of the body that outcomes in confused formulae for drag force. Hence, the drag equation is utilizing the drag coefficient approach. In this methodology the drag force is related to the stagnation pressure ½ρU2/2 and uncovered territory A. The uncovered territory is taken as anticipated zone parallel to fluid stream for comfort. The relationship is communicated as Fd = ½CdAρU2/2 where Cd is coefficient of drag, ρ is density of fluid, A is projected area. If the body is symmetric about the direction of flow or vice versa or it is like straight vertical or horizontal flat plate, only drag force act on the body. If the plate is having some angle of attack, a vertical component of resultant force acts which is called lift force, which is calculated as Fl = ½ClAρU2/2 where Cl is coefficient of lift. 4.2 CALCULATION OF COEFFICIENT OF PRESSURE It defines relative pressure in fluid flow. It is defined Cp = change in static pressure/dynamic pressure Cp =2(P2-P1)/ ρU2 where P2 is atmospheric pressure and P1 ispressureateach pressure tap. Graph 4.2.1-Relation between Cp v/s distance from leading edge 4.3 DISTRIBUTION OF COEFFICIENT OF PRESSURE The weight coefficient of the airfoil's upper surface was negative and the lower surface was certain, alongtheselines lift drive on airfoil is upward way. We can in like manner see that coefficient of weight distinction is significantly greater on the front edge, while on the back edge it is much lower, consequently showing that the lift power of the airfoil of the airfoil is generally made from the front edge. 5. VALIDATION OF RESULTS AND DISCUSSIONS The analysis is done for 0 degree approach. The static pressure plot and velocity plot are used for analysis. Fig5.1- Pressure distribution at 0 degree approach. Fig 5.2- Velocity distribution at 0 degree approach. Fig 5.3-Calculation of drag Drag comes out to be 5.863 N Fig 5.4-Calculation of lift Lift comes out to be 0.316 N Fig 5.5-Graph depicting values of Coefficient of Drag
  • 4. International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID - IJTSRD23511 | Volume – 3 | Issue – 3 | Mar-Apr 2019 Page: 1711 Fig 5.6-Graph depicting values of Coefficient of Lift 6. CONCLUSIONS AND FUTURE SCOPE With the assistance of CFD software ANSYS-Fluent, effective examination of streamlined execution of airfoil areahasbeen conveyed at 0 degree approach utilizing k-epsilon viscous model. The pressure coefficient on upper surface was negative and positive on lower surface, in this way lift on airfoil is upward way. The coefficient of pressure difference is a lot bigger on the front edge while on the trailing edge it was much lower.. The graph of coefficient of lift obtained signifies that lift first increases on leading edge and then becomes constant moving towards trailing edge. As angle of attack is taken 0 degree value of lift obtained is very low. Experimental values differ from validation values due to difference in geometry and dimension of enclosure i.e. test section. This test could be performed later on different geometries like spherical body, cylindrical body, buildings,automobiles, etc under different stream velocity. REFERENCES [1] Patel, Karna S., et al. “CFD Analysis of an aerofoil.” International Journal of Engineering Research 3.3(2014):154-158. [2] Kevadiya MayurKumar. “CFD Analysis of Pressure Coefficient for NACA 4412.”International Journal of Engineering Trends and Technology, Chennai 4.5 (2013):2041-2043. [3] Bhushan S. Patil, Hitesh R. Thakare, Computational Fluid Dynamics Analysis of Wind Turbine Blade at Various Angles of Attack and different Reynolds Number, Procedia Engineering,127(2015), 1363-1369 M. Wegmuller, J. P. von der weid, P. Oberson, and N. Gisin, “High resolution fiber distributedmeasurements with coherent OFDR,” in Proc. ECOC’00, 2000, paper 11.3.2, p.109. [4] Novel Kumar Sahu, Mr. Shadab Imam, Analysis of subsonic flow over an airfoil NACA 0012 using CFD, International Journal of Innovative Science, Engineering & Technology, Vol. 2 Issue 4, April 2015 J. Padhye, V. Firoiu and D. Towsley, “Astochastic model of TCP Renocongestion avoidance and control,” Univ. of Massachusetts, Amherst, MA, CMPSCI tech. Rep. 99-02, 1999. [5] Mohamed A. Fouad Kandil, Abdelrady Okasha Elnady, “CFD Analysis of GOE 387Airfoil”, IOSR Journal of Mechanical and Civil Engineering(IOSR-JMCE),Volume 14-Issues 5, Sep. – Oct. 2017, PP 80-85. [6] Fluent 2013 Theory Guide. [7] Abott, I. H. and von Doenhoff, A. E., “Theory of Wing Sections, ”Dover Publications, New York, 1959. [8] Fox, R. W., & McDonald, A. T. (1973). Introduction to Fluid Mechanics. John Wiley & Sons, Inc.