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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1857
Experimental investigation of natural convection heat transfer
enhancement from rectangular fin arrays with combination of V-notch
and perforations
Dr. S B Prakash*, Shashikiran C R**
*Professor, Department of Thermal Power Engineering, VTU PG Centre, Musuru, Karnataka, India
** Scholar, Department of Thermal Power Engineering, VTU PG Centre, Musuru, Karnataka, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract- Experimental investigation of the
combination of V-notch and perforated horizontal
rectangular fin array under natural convection was
conducted. Four cases of fin array have been employed.
One case without notch (un-notched) and three cases with
combination of V-notch and perforations for different
percentage of area removal from fin were used. L/H and
S/H ratios are kept constant as 4.44 and 0.222
respectively. The base plate has been heated with different
electrical heat input such as 30W, 60W and 90W. The
object of this experimentation is to determine optimum
combination of V-notch and perforation and to enhance
heat transfer under natural convection. The experimental
results shows that due to the combination of notch and
perforation, both surface area and turbulence increases
this allows more fresh air comes in contact with fin and
thus HTC increases greatly. Perforation helps to increase
turbulence as well as heat dissipation rate. Among all fin
arrays, (20% V notched + 10% perforated) fin array shows
maximum HTC 8.6157, 9.1913 and 9.59169 W/m²k at
30W, 60W and 90W respectively.
Key Words: Fin array, notches, perforations, natural
convection and heat transfer coefficient
1. INTRODUCTION
Thermal energy present in any matter when comes in
thermal contact with another matter having different
thermal energy causes the occurrence of heat transfer.
Temperature difference is the main cause of heat
transfer. If there is no temperature difference, then heat
transfer does not occur even if there is lot of thermal
energy in two bodies. Heat transfer is energy in transit
and it is also known as boundary phenomenon. Fins are
the surfaces that lengthen from a heated object to
augment the rate of heat transfer by the phenomenon of
convection. The amount of heat transfer of an object is
depending on the amount of conduction, convection or
radiation of the object. By raising the temperature
gradient between the fin body and the surrounding, heat
transfer can be increased and this also achieves increase
in convection heat transfer coefficient. By adding fin to a
heated object surface area increases and this becomes
cost-effective.
The following are the area where the rectangular fin are
used widely and they are,
 Motor, transformers, microcontroller data
analogue system and CPU circuit boards.
 Around the scooter and motor cycle engine
cylinders, rectangular or triangular profile fins
are commonly employed.
 Refrigerating systems of evaporators and
condensers.
 Car radiator and cooling of fuel heaters usually
has rectangular fins.
Notch concept in fin array comes for lengthwise short fin
array. In lengthwise short fin array single chimney flow
pattern is present. Bottom central portion of fin flat
becomes less effective due to the presence of already
heated air comes in its contact. In this type of fin array
the air enters from both sides and gets heated as it
moves inwards. Temperature of the air gets increases
and decrease in density of air rise upwards. Hence, only
less portion of air comes in contact with the central
bottom portion of the fin channel. Due to this stagnation
zone occurs near the central bottom portion of the fin
channel as shown in figure. In order to overcome this
complexity some portion of fin is removed near the
stagnation zone (notch), to increase the HTC.
2. EXPERIMENTAL SETUP
Heat transfer equipment is as shown in below figure1.
This heat transfer equipment is used to conduct the
experiment in order to obtain natural convective heat
transfer characteristics of different horizontal
rectangular fin arrays. In this type of fin array the air
enters from both sides and gets heated as it moves
inwards. Temperature of the air gets increases and
decrease in density of air rise upwards. Hence, only less
portion of air comes in contact with the central bottom
portion of the fin channel. Due to this stagnation zone
occurs near the central bottom portion of the fin channel
as shown in figure. In order to overcome this complexity
some portion of fin is removed near the stagnation zone
(notch), to increase the HTC.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1858
Fig -1: Experimental setup
The mica heater of dimension 200*125*2 mm is used as
heater and its capacity is 150W. A 2 mm thickness
copper plate of dimensions similar to base plate is placed
between the heater and base plate in order to supply
constant heat to the fins base. Total 16 thermocouples
are used to determine temperature at various points of
test section, in which 10 are used to measure fin tip
temperature, 3 are used to measure thermo stone block
temperature to calculate heat losses, 2 are used to
measure base plate temperature and one thermocouple
is used to measure atmospheric temperature. K-type
thermocouples are used to measure the temperature of
fins, base plate and insulating block. The maximum
temperature range of the thermocouple is 380 to 400°C.
Display panel consists of main switch at the left top
corner, fuse, temperature indicator and heater
controlling knob. Display panel also consist of digital
voltmeter and ammeter indicator to measure the voltage
and current. Digital temperature indicator can show
reading up to 199.9°C. Aluminum alloys of 1100 series
are commercially available pure Aluminum of different
thickness and these are purchased from the local market
easily. A 6 mm deep rectangular pocket has milled on the
top surface of a thermo stone block to place the fin array
and heater. Thermo stone block of dimensions are 300
mm length* 250mm width* 150 mm thickness. It’s an
excellent thermal insulator with a low thermal
conductivity range from 0.13 to 0.15 W/mk. Thermo
stone block of dimensions are 300 mm length* 250mm
width* 150 mm thickness. It’s an excellent thermal
insulator with a low thermal conductivity range from
0.13 to 0.15 W/mk. Base plate is made out of same
material as fins. Al 1100 T6 of 5 mm thickness is used as
base plate material. This plate is cut; machined and 10
slots are made on this to mount the fins with an equal
space of 10 mm.
2.1 Fin arrays used for experimentation
The following fin arrays were used for experimental
study as follows,
Fig -2: Un-notched (solid) fin array
Fig -3: Combination of V-notched (10%) and
perforation (10%) fin array
Fig -4: Combination of V-notched (20%) and
perforation (10%) fin array
Fig -5: Combination of V-notched (10%) and
perforation (20%) fin array
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1859
2.2 Experimental Procedure
The following procedure is adopted for carry out the
experimental study as follows,
1. Fin array is assembled and placed in the position,
with thermocouples and heaters connected as per
requirement.
2. Turn on the experimental setup
3. Check the entire digital meter and thermocouples
working and its electric connections.
4. Using rheostat regulating current and voltage turn
on heater for a particular value.
5. Make sure current and voltage are constant over the
period of experiment.
6. Heat the base plate to stabilized temperature.
7. Keep checking the temperature of fins and base
plate with the help of thermocouple reading.
8. When the temperature attains a steady state that is
temperature reading of fins repeat twice for a
particular value make sure it is constant and note
down that value.
9. Note down all the required temperature of fins and
base plate.
Repeat the above procedure for different value of heat
input say 30W, 60W and 90W.
3. CALCULATION PROCEDURE
The formulae that are used for calculating heat transfer
coefficient are taken from, “Heat and Mass Transfer Data
Hand book’’ by C P Kothandaraman and S Subramanyan
[9].
3.1 To Find Average Temperature of
Fins :
=
Where, and are the
temperatures of tip of fins in ° C.
3.2 To Find Temperature of Whole
Body :
=
Where, is the temperature of base plate in °C
3.3 To Find Temperature Difference
between Body & surrounding
temperature :
ΔT = ( - ) in °C
3.4 To Find Mean Film Temperature ( ):
= in °C
From this temperature find out following properties of
fluid
υ = kinematic viscosity of the fluid, /s
Pr = Prandtl number
k = Thermal conductivity of fluid, W/m-K
3.5 To Find Grashof Number (Gr):
Gr =
Where,
= height of the fin, m
3.6 To Find Coefficient of Volume Expansion
(β):
β =
3.7 To Find Rayleigh Number (Ra):
Ra = Gr*Pr
If < Gr*Pr< , then, Nu = 0.59
If < Gr*Pr< , then, Nu = 0.59
3.8 To Find Heat Transfer Coefficient (h):
Nu =
Where, h is heat transfer coefficient, W/ K
Using these formulae h is calculated.
4. RESULTS AND DESCUSSION
Using the calculation procedure as shown above heat
transfer coefficient for different fin arrays for different
heat input under natural convection is tabulated as
shown in table 1.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1860
4.1 Heat Transfer Coefficient for Notched
Fin Array
From this table it is clear that (20% V-notch + 10%
Perforation) fin array shows maximum HTC 8.6157,
9.1913 and 9.5916 W/m²k at 30W, 60W and 90W
respectively.
Table -1: Heat Transfer Coefficient for combination of V-
notch and perforation
FIN
ARRAY/
HEAT
INPUT
30W 60W 90W
Un-notched 8.3913 9.0861 9.3841
10% V-
notch + 10%
perforated
8.5182 9.1345 9.4642
20% V-
notch + 10%
perforated
8.6157 9.1913 9.5916
10% V-
notch + 20%
perforated
8.5272 9.1909 9.4959
4.2 Effect of % area of combination of V-
notch and perforation
Combination of V-notch and circular perforation is used
in a horizontal rectangular fin array under natural
convection. In this graph (20% V-notch + 10%
Perforation) fin array shows maximum heat transfer
coefficient 9.59169 W/m²k at 90W.
Chart -1: Heat transfer coefficient vs. Heat input for
different % area of combination of V-notch and
perforation
Due to the combination of notch and perforation, both
surface area and turbulence increases this allows fresher
air comes in contact with fin and thus HTC increases
greatly. Perforation helps to increase turbulence as well
as heat dissipation rate. Due to increase in % area of,
notch and perforation, and heat flux value of air density
decreases hence air moves against the gravity and thus
increase in HTC. However (10% V-notch + 10%
Perforation) and (10% V-notch + 20% Perforation)
notched fin arrays also shows increase in HTC in
comparison with un-notched fin array.
4.3 Nusselt Number Variations (Nu)
Among these fin arrays, (20% V notched + 10%
perforated) fin array shows maximum Nusselt number
13.541, 14.086 and 14.527 at 30W, 60W and 90W
respectively. As the Nusselt number increase heat
transfer coefficient also increases
Chart -2: Nusselt number vs. Heat input for different %
area of (V+P) notched fin arrays
4.4 Temperature Difference Variations (ΔT)
Chart -3: Temperature difference vs. Heat input for
different % area of (V+P) notched fin arrays
8.2
8.4
8.6
8.8
9
9.2
9.4
9.6
9.8
0 30 60 90 120
Heattransfercoefficient(h)
in(W/m²K)
Heat input (Q) in watts
UNNOTCHED
(10% V
NOTCH)+(10%
PERFORATION)
(20% V
NOTCH)+(10%
PERFORATION)
(10% V
NOTCH)+(20%
PERFORATION)
13
13.2
13.4
13.6
13.8
14
14.2
14.4
14.6
0 30 60 90 120
NusseltNumber(Nu)
Heat input (Q) in watts
UNNOTCHED
10% V
NOTCH+ 10%
PERFORATION
20% V
NOTCH+ 10%
PERFORATION
10% V
NOTCH+ 20%
PERFORATION
40
50
60
70
80
90
0 30 60 90 120
ΔTin°C
Heat input (Q) in watts
UNNOTCHED
10% V NOTCH+
10%
PERFORATION
20% V NOTCH+
10%
PERFORATION
10% V
NOTCH+ 20%
PERFORATION
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1861
5. CONCLUSION
This experimental investigation shows the heat transfer
performance of various, V-notched and combination of
V-notch and perforated fin arrays under natural
convection. Experimentation shows how heat transfer
coefficient (h) varies with the increase in heat input for,
different % area of V-notched fin array and combination
of V-notch and perforated fin arrays when compared
with un-notched fin array.
 Among all fin arrays, (20% V notched + 10%
perforated) fin array shows maximum HTC
8.6157, 9.1913 and 9.59169 W/m²k at 30W,
60W and 90W respectively.
 Due to the combination of notch and
perforation, both surface area and turbulence
increases this allows more fresh air comes in
contact with fin and thus HTC increases greatly.
Perforation helps to increase turbulence as well
as heat dissipation rate.
 Due to increase in % area of, notch and
perforation, and heat flux value of air density
decreases hence air moves against the gravity
and thus increase in HTC.
 20% V notched + 10% perforated fin array
shows maximum temperature difference (ΔT)
49.995, 67.89 and 82.375 at 30W, 60W and 90W
respectively. As the temperature difference (ΔT)
increases heat transfer coefficient also
increases.
 20% V notched + 10% perforated fin array
shows maximum Nusselt number 13.541,
14.086 and 14.527 at 30W, 60W and 90W
respectively. As the Nusselt number increase
heat transfer coefficient also increases.
REFERENCES
[1] Saad Najeeb Shehab, “Experimental Studies of free
convection from rectangular fins array on a heated
horizontal plate with notch effects”, International
Journal of Thermal Sciences 96(2015) 211- 220
[2] N.A. Nawale, A.S. Pawar, “Experiment On Heat
Transfer through Fins Having Different Notches” IOSR
Journal of Mechanical and Civil Engineering (IOSR-
JMCE)
[3] Mr. Ram Bakale, Mr. Kaushik Baheti, Mr. Chandrakant
Dokade & Mr. Pandhurang Galande “ Heat transfer
analysis through horizontal rectangular inverted
notched fin array using natural convection by
experimental method”, Vol-2, Issue-6, 2016
[4] Salila Ranjan dixit, Dr D P Mishra, “Some
experimental studies on heat transfer augmentation for
flow liquid through circular tubes using twisted angles
and tapes”, Volume 4, Issue 7, July-2013.
[5] N. Wankhede, N. P. Salunke,” A Review on
Experimental Analysis for Rectangular Perforated Fin
Array”, International Journal on Recent and Innovation
Trends in Computing and Communication, Volume: 4
Issue: 4
[6] Dhanawade Hanamant S, K. N. Vijaykumar,
Dhanawade Kavita,” Natural convection heat transfer
flow visualization Of perforated fin arrays by CFD
simulation”, IJRET: International Journal of Research in
Engineering and Technology eISSN: 2319-1163
[7] Dilpak Saurabh P and S. G. Taji,” Convection Heat
Transfer from Horizontal Rectangular Fin Array having
Triangular Perforations”, International Journal of
Current Engineering and Technology E-ISSN 2277 –
4106
[8] S. D. Wankhede, S. G. Taji , V. M. Suryawanshi,
“Experimental Investigation of Heat Transfer from
Inverted Notch Fin Arrays (INFA) Under Natural and
Forced Convections”, IOSR Journal of Mechanical and
Civil Engineering (IOSR-JMCE), ISSN(e) : 2278-1684
[9] “Heat and Mass Transfer Data Hand book’’ by C P
Kothandaraman and S Subramanyan
SYMBOLS AND ABBREVIATIONS
Q Heat transfer in W
h Heat transfer coefficient, W/ K
Fin surface temperature in °C or K
Ambient temperature °C or K
ΔT Temperature difference
Average Temperature of Fins °C or K
Temperature of Whole Body °C or K
Mean Film Temperature °C or K
k Thermal conductivity of fluid, W/m-K
Gr Grashof Number
Height of the fin, m
Ra Rayleigh Number
υ kinematic viscosity of the fluid, /s
β Coefficient of Volume Expansion
HTC Heat transfer coefficient
V + P V-notched and perforated
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1862
BIOGRAPHIES
Dr. S B Prakash is Professor and
Chairman of Department of
Thermal Power Engineering,
Centre for PG studies, VTU
Mysuru, Karnataka, India. He has
teaching experience of 28 years.
Mr. Shashikiran C R is graduated
in Mechanical Engineering from
KSSEM, Bangalore and perusing
M-Tech in Thermal Power
Engineering, Centre for PG
studies, VTU Mysuru. Karnataka,
India.

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Experimental Investigation of Natural Convection Heat Transfer Enhancement from Rectangular Fin Arrays with Combination of V-notch and Perforations

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1857 Experimental investigation of natural convection heat transfer enhancement from rectangular fin arrays with combination of V-notch and perforations Dr. S B Prakash*, Shashikiran C R** *Professor, Department of Thermal Power Engineering, VTU PG Centre, Musuru, Karnataka, India ** Scholar, Department of Thermal Power Engineering, VTU PG Centre, Musuru, Karnataka, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract- Experimental investigation of the combination of V-notch and perforated horizontal rectangular fin array under natural convection was conducted. Four cases of fin array have been employed. One case without notch (un-notched) and three cases with combination of V-notch and perforations for different percentage of area removal from fin were used. L/H and S/H ratios are kept constant as 4.44 and 0.222 respectively. The base plate has been heated with different electrical heat input such as 30W, 60W and 90W. The object of this experimentation is to determine optimum combination of V-notch and perforation and to enhance heat transfer under natural convection. The experimental results shows that due to the combination of notch and perforation, both surface area and turbulence increases this allows more fresh air comes in contact with fin and thus HTC increases greatly. Perforation helps to increase turbulence as well as heat dissipation rate. Among all fin arrays, (20% V notched + 10% perforated) fin array shows maximum HTC 8.6157, 9.1913 and 9.59169 W/m²k at 30W, 60W and 90W respectively. Key Words: Fin array, notches, perforations, natural convection and heat transfer coefficient 1. INTRODUCTION Thermal energy present in any matter when comes in thermal contact with another matter having different thermal energy causes the occurrence of heat transfer. Temperature difference is the main cause of heat transfer. If there is no temperature difference, then heat transfer does not occur even if there is lot of thermal energy in two bodies. Heat transfer is energy in transit and it is also known as boundary phenomenon. Fins are the surfaces that lengthen from a heated object to augment the rate of heat transfer by the phenomenon of convection. The amount of heat transfer of an object is depending on the amount of conduction, convection or radiation of the object. By raising the temperature gradient between the fin body and the surrounding, heat transfer can be increased and this also achieves increase in convection heat transfer coefficient. By adding fin to a heated object surface area increases and this becomes cost-effective. The following are the area where the rectangular fin are used widely and they are,  Motor, transformers, microcontroller data analogue system and CPU circuit boards.  Around the scooter and motor cycle engine cylinders, rectangular or triangular profile fins are commonly employed.  Refrigerating systems of evaporators and condensers.  Car radiator and cooling of fuel heaters usually has rectangular fins. Notch concept in fin array comes for lengthwise short fin array. In lengthwise short fin array single chimney flow pattern is present. Bottom central portion of fin flat becomes less effective due to the presence of already heated air comes in its contact. In this type of fin array the air enters from both sides and gets heated as it moves inwards. Temperature of the air gets increases and decrease in density of air rise upwards. Hence, only less portion of air comes in contact with the central bottom portion of the fin channel. Due to this stagnation zone occurs near the central bottom portion of the fin channel as shown in figure. In order to overcome this complexity some portion of fin is removed near the stagnation zone (notch), to increase the HTC. 2. EXPERIMENTAL SETUP Heat transfer equipment is as shown in below figure1. This heat transfer equipment is used to conduct the experiment in order to obtain natural convective heat transfer characteristics of different horizontal rectangular fin arrays. In this type of fin array the air enters from both sides and gets heated as it moves inwards. Temperature of the air gets increases and decrease in density of air rise upwards. Hence, only less portion of air comes in contact with the central bottom portion of the fin channel. Due to this stagnation zone occurs near the central bottom portion of the fin channel as shown in figure. In order to overcome this complexity some portion of fin is removed near the stagnation zone (notch), to increase the HTC.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1858 Fig -1: Experimental setup The mica heater of dimension 200*125*2 mm is used as heater and its capacity is 150W. A 2 mm thickness copper plate of dimensions similar to base plate is placed between the heater and base plate in order to supply constant heat to the fins base. Total 16 thermocouples are used to determine temperature at various points of test section, in which 10 are used to measure fin tip temperature, 3 are used to measure thermo stone block temperature to calculate heat losses, 2 are used to measure base plate temperature and one thermocouple is used to measure atmospheric temperature. K-type thermocouples are used to measure the temperature of fins, base plate and insulating block. The maximum temperature range of the thermocouple is 380 to 400°C. Display panel consists of main switch at the left top corner, fuse, temperature indicator and heater controlling knob. Display panel also consist of digital voltmeter and ammeter indicator to measure the voltage and current. Digital temperature indicator can show reading up to 199.9°C. Aluminum alloys of 1100 series are commercially available pure Aluminum of different thickness and these are purchased from the local market easily. A 6 mm deep rectangular pocket has milled on the top surface of a thermo stone block to place the fin array and heater. Thermo stone block of dimensions are 300 mm length* 250mm width* 150 mm thickness. It’s an excellent thermal insulator with a low thermal conductivity range from 0.13 to 0.15 W/mk. Thermo stone block of dimensions are 300 mm length* 250mm width* 150 mm thickness. It’s an excellent thermal insulator with a low thermal conductivity range from 0.13 to 0.15 W/mk. Base plate is made out of same material as fins. Al 1100 T6 of 5 mm thickness is used as base plate material. This plate is cut; machined and 10 slots are made on this to mount the fins with an equal space of 10 mm. 2.1 Fin arrays used for experimentation The following fin arrays were used for experimental study as follows, Fig -2: Un-notched (solid) fin array Fig -3: Combination of V-notched (10%) and perforation (10%) fin array Fig -4: Combination of V-notched (20%) and perforation (10%) fin array Fig -5: Combination of V-notched (10%) and perforation (20%) fin array
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1859 2.2 Experimental Procedure The following procedure is adopted for carry out the experimental study as follows, 1. Fin array is assembled and placed in the position, with thermocouples and heaters connected as per requirement. 2. Turn on the experimental setup 3. Check the entire digital meter and thermocouples working and its electric connections. 4. Using rheostat regulating current and voltage turn on heater for a particular value. 5. Make sure current and voltage are constant over the period of experiment. 6. Heat the base plate to stabilized temperature. 7. Keep checking the temperature of fins and base plate with the help of thermocouple reading. 8. When the temperature attains a steady state that is temperature reading of fins repeat twice for a particular value make sure it is constant and note down that value. 9. Note down all the required temperature of fins and base plate. Repeat the above procedure for different value of heat input say 30W, 60W and 90W. 3. CALCULATION PROCEDURE The formulae that are used for calculating heat transfer coefficient are taken from, “Heat and Mass Transfer Data Hand book’’ by C P Kothandaraman and S Subramanyan [9]. 3.1 To Find Average Temperature of Fins : = Where, and are the temperatures of tip of fins in ° C. 3.2 To Find Temperature of Whole Body : = Where, is the temperature of base plate in °C 3.3 To Find Temperature Difference between Body & surrounding temperature : ΔT = ( - ) in °C 3.4 To Find Mean Film Temperature ( ): = in °C From this temperature find out following properties of fluid υ = kinematic viscosity of the fluid, /s Pr = Prandtl number k = Thermal conductivity of fluid, W/m-K 3.5 To Find Grashof Number (Gr): Gr = Where, = height of the fin, m 3.6 To Find Coefficient of Volume Expansion (β): β = 3.7 To Find Rayleigh Number (Ra): Ra = Gr*Pr If < Gr*Pr< , then, Nu = 0.59 If < Gr*Pr< , then, Nu = 0.59 3.8 To Find Heat Transfer Coefficient (h): Nu = Where, h is heat transfer coefficient, W/ K Using these formulae h is calculated. 4. RESULTS AND DESCUSSION Using the calculation procedure as shown above heat transfer coefficient for different fin arrays for different heat input under natural convection is tabulated as shown in table 1.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1860 4.1 Heat Transfer Coefficient for Notched Fin Array From this table it is clear that (20% V-notch + 10% Perforation) fin array shows maximum HTC 8.6157, 9.1913 and 9.5916 W/m²k at 30W, 60W and 90W respectively. Table -1: Heat Transfer Coefficient for combination of V- notch and perforation FIN ARRAY/ HEAT INPUT 30W 60W 90W Un-notched 8.3913 9.0861 9.3841 10% V- notch + 10% perforated 8.5182 9.1345 9.4642 20% V- notch + 10% perforated 8.6157 9.1913 9.5916 10% V- notch + 20% perforated 8.5272 9.1909 9.4959 4.2 Effect of % area of combination of V- notch and perforation Combination of V-notch and circular perforation is used in a horizontal rectangular fin array under natural convection. In this graph (20% V-notch + 10% Perforation) fin array shows maximum heat transfer coefficient 9.59169 W/m²k at 90W. Chart -1: Heat transfer coefficient vs. Heat input for different % area of combination of V-notch and perforation Due to the combination of notch and perforation, both surface area and turbulence increases this allows fresher air comes in contact with fin and thus HTC increases greatly. Perforation helps to increase turbulence as well as heat dissipation rate. Due to increase in % area of, notch and perforation, and heat flux value of air density decreases hence air moves against the gravity and thus increase in HTC. However (10% V-notch + 10% Perforation) and (10% V-notch + 20% Perforation) notched fin arrays also shows increase in HTC in comparison with un-notched fin array. 4.3 Nusselt Number Variations (Nu) Among these fin arrays, (20% V notched + 10% perforated) fin array shows maximum Nusselt number 13.541, 14.086 and 14.527 at 30W, 60W and 90W respectively. As the Nusselt number increase heat transfer coefficient also increases Chart -2: Nusselt number vs. Heat input for different % area of (V+P) notched fin arrays 4.4 Temperature Difference Variations (ΔT) Chart -3: Temperature difference vs. Heat input for different % area of (V+P) notched fin arrays 8.2 8.4 8.6 8.8 9 9.2 9.4 9.6 9.8 0 30 60 90 120 Heattransfercoefficient(h) in(W/m²K) Heat input (Q) in watts UNNOTCHED (10% V NOTCH)+(10% PERFORATION) (20% V NOTCH)+(10% PERFORATION) (10% V NOTCH)+(20% PERFORATION) 13 13.2 13.4 13.6 13.8 14 14.2 14.4 14.6 0 30 60 90 120 NusseltNumber(Nu) Heat input (Q) in watts UNNOTCHED 10% V NOTCH+ 10% PERFORATION 20% V NOTCH+ 10% PERFORATION 10% V NOTCH+ 20% PERFORATION 40 50 60 70 80 90 0 30 60 90 120 ΔTin°C Heat input (Q) in watts UNNOTCHED 10% V NOTCH+ 10% PERFORATION 20% V NOTCH+ 10% PERFORATION 10% V NOTCH+ 20% PERFORATION
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1861 5. CONCLUSION This experimental investigation shows the heat transfer performance of various, V-notched and combination of V-notch and perforated fin arrays under natural convection. Experimentation shows how heat transfer coefficient (h) varies with the increase in heat input for, different % area of V-notched fin array and combination of V-notch and perforated fin arrays when compared with un-notched fin array.  Among all fin arrays, (20% V notched + 10% perforated) fin array shows maximum HTC 8.6157, 9.1913 and 9.59169 W/m²k at 30W, 60W and 90W respectively.  Due to the combination of notch and perforation, both surface area and turbulence increases this allows more fresh air comes in contact with fin and thus HTC increases greatly. Perforation helps to increase turbulence as well as heat dissipation rate.  Due to increase in % area of, notch and perforation, and heat flux value of air density decreases hence air moves against the gravity and thus increase in HTC.  20% V notched + 10% perforated fin array shows maximum temperature difference (ΔT) 49.995, 67.89 and 82.375 at 30W, 60W and 90W respectively. As the temperature difference (ΔT) increases heat transfer coefficient also increases.  20% V notched + 10% perforated fin array shows maximum Nusselt number 13.541, 14.086 and 14.527 at 30W, 60W and 90W respectively. As the Nusselt number increase heat transfer coefficient also increases. REFERENCES [1] Saad Najeeb Shehab, “Experimental Studies of free convection from rectangular fins array on a heated horizontal plate with notch effects”, International Journal of Thermal Sciences 96(2015) 211- 220 [2] N.A. Nawale, A.S. Pawar, “Experiment On Heat Transfer through Fins Having Different Notches” IOSR Journal of Mechanical and Civil Engineering (IOSR- JMCE) [3] Mr. Ram Bakale, Mr. Kaushik Baheti, Mr. Chandrakant Dokade & Mr. Pandhurang Galande “ Heat transfer analysis through horizontal rectangular inverted notched fin array using natural convection by experimental method”, Vol-2, Issue-6, 2016 [4] Salila Ranjan dixit, Dr D P Mishra, “Some experimental studies on heat transfer augmentation for flow liquid through circular tubes using twisted angles and tapes”, Volume 4, Issue 7, July-2013. [5] N. Wankhede, N. P. Salunke,” A Review on Experimental Analysis for Rectangular Perforated Fin Array”, International Journal on Recent and Innovation Trends in Computing and Communication, Volume: 4 Issue: 4 [6] Dhanawade Hanamant S, K. N. Vijaykumar, Dhanawade Kavita,” Natural convection heat transfer flow visualization Of perforated fin arrays by CFD simulation”, IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 [7] Dilpak Saurabh P and S. G. Taji,” Convection Heat Transfer from Horizontal Rectangular Fin Array having Triangular Perforations”, International Journal of Current Engineering and Technology E-ISSN 2277 – 4106 [8] S. D. Wankhede, S. G. Taji , V. M. Suryawanshi, “Experimental Investigation of Heat Transfer from Inverted Notch Fin Arrays (INFA) Under Natural and Forced Convections”, IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), ISSN(e) : 2278-1684 [9] “Heat and Mass Transfer Data Hand book’’ by C P Kothandaraman and S Subramanyan SYMBOLS AND ABBREVIATIONS Q Heat transfer in W h Heat transfer coefficient, W/ K Fin surface temperature in °C or K Ambient temperature °C or K ΔT Temperature difference Average Temperature of Fins °C or K Temperature of Whole Body °C or K Mean Film Temperature °C or K k Thermal conductivity of fluid, W/m-K Gr Grashof Number Height of the fin, m Ra Rayleigh Number υ kinematic viscosity of the fluid, /s β Coefficient of Volume Expansion HTC Heat transfer coefficient V + P V-notched and perforated
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 1862 BIOGRAPHIES Dr. S B Prakash is Professor and Chairman of Department of Thermal Power Engineering, Centre for PG studies, VTU Mysuru, Karnataka, India. He has teaching experience of 28 years. Mr. Shashikiran C R is graduated in Mechanical Engineering from KSSEM, Bangalore and perusing M-Tech in Thermal Power Engineering, Centre for PG studies, VTU Mysuru. Karnataka, India.