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design and analysis
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Design of heat sink Chapter 4
CHAPTER 4
NUMERICAL ANALYSIS OF HEAT SINK
4.1 MODELING OF FIN
The design of Heat sink includes the following steps
Profile of fin
Fin length
Fin Thickness
Number of fin
Space between the fin
4.1.1 SELECTION FIN OF PROFILE
There are various types of fin profiles are available, in that fin Rectangular ,
Radial fin, Pin fin, Taper fin are important fin. For this analysis Rectangular fin and
Taper fin are been selected for design. These fin are simple to manufacture and
used for most of the automobile, electric and electronic components. In performance
also these fin have high efficiency and effectiveness compared to other fins.
1) RECTANGULAR FN 2) TAPER FIN
Fig.4.1 Profile of Rectangular and Taper Fin
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Design of heat sink Chapter 4
4.1.3 MODEL DESCRIPTION
MODELING SOFTWARE:
The fin with various extensions are design with the help of design
software Solidworks 2013 by using the Solidworks 2D and 3D commands like as 2D
commands polyline, arc, circle, mirror , pattern ,& 3D commands extrude, extrude cut. The
angle is measured in anti-clock direction starting from the first quadrant. There are 18
different heat sink models are been created using Solidworks.
SPECIFICATION OF THE EXTENTION:
a) Rectangular extension b) Trapezium extension
c) Triangular extension d) circular extension
Fig.4.2 Types of Extensions
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Design of heat sink Chapter 4
4.2 RECTANGULAR FIN PROFILES
In this study three types of Rectangular fin are to be model using solidworks.
They are listed below:
1) Plain Rectangular Fin
2) Fin with Extension
a) Triangular Extension
b) Trapezium Extension
c) Circular Extension
d) Rectangular Extension
3) Perforated fin
a) With dia 18
b) With dia 20
c) With dia 22
d) With dia 24
4.2.1 PLAIN RECTANGULAR FIN WITH DIMENSIONS
Plain rectangular fin
Fig.4.3 Dimension of Plain Rectangular Fin
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Design of heat sink Chapter 4
4.2.2 RECTANGULAR FIN WITH EXTENSION AND DIMENSIONS
a) Rectangular Extension
Fig.4.4 Dimension of Fin with Rectangular Extension
b) Triangular Extension
Fig.4.5 Dimension of Fin with Triangular Extension
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Design of heat sink Chapter 4
c) Trapezium Extension
Fig.4.6 Dimension of Fin with Trapezium Extension
d) Circular Extension
Fig.4.7 Dimension of Fin with Circular Extension
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Design of heat sink Chapter 4
4.2.3 RECTANGULAR FIN WITH PERFORATED
In the perforated fin the most of the profiles are in same dimension and only
the perforated hole diameter changes to 18mm, 20mm, 22mm, 24mm.
1
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
HOLE DIA : 18 MM
NO. OF HOLE: 15
2
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
HOLE DIA : 20 MM
NO. OF HOLE: 15
3
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
HOLE DIA : 22 MM
NO. OF HOLE: 15
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Design of heat sink Chapter 4
4
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
HOLE DIA : 24MM
NO. OF HOLE: 15
ISOMETRIC VIEW OF RECTANGULAR FIN WITH EXTENTION
1
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
EXTENTION: TRIANGULAR
NO. OF EXTENTION: 30
2
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
EXTENTION: CIRCULAR
NO. OF EXTENTION: 30
3
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
EXTENTION:
RECTANGULAR
NO. OF EXTENTION: 30
34
Design of heat sink Chapter 4
4
)
FIN TYPE: RECTANGULAR
NO. OF FIN: 3
EXTENTION: TRAPEZIUM
NO. OF EXTENTION: 30
4.3 TAPER FIN PROFILES
In this study three types of Taper fin are to be model using solidworks.
They are listed below:
1) Plain Taper Fin
2) Fin with Extension
a) Triangular Extension
b) Trapezium Extension
c) Circular Extension
d) Rectangular Extension
3) Perforated fin
a) With dia 18
b) With dia 20
c) With dia 22
d) With dia 24
4.3.1 PLAIN TAPER FIN WITH DIMENTIONS
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Design of heat sink Chapter 4
Plain Taper fin
Fig.4.8 Dimension of Taper Fin
4.3.2 TARER FIN WITH EXTENTION AND DIMENSIONS
a) Rectangular Extension
Fig.4.9 Dimension of Taper Fin with Rectangular Extension
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Design of heat sink Chapter 4
b) Triangular Extension
Fig.4.10 Dimension of Taper Fin with Triangular Extension
c) Trapezium Extension
Fig.4.11 Dimension of Taper Fin with Trapezium Extension
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Design of heat sink Chapter 4
d) Circular Extension
Fig.4.12 Dimension of Taper Fin with Circular Extension
1)FIN TYPE: TAPER
NO. OF FIN: 3
EXTENTION: TRIANGULAR
NO. OF EXTENTION: 30
2) FIN TYPE: TAPER
NO. OF FIN: 3
EXTENTION: CIRULAR
NO. OF EXTENTION: 30
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Design of heat sink Chapter 4
3) FIN TYPE: TAPER
NO. OF FIN: 3
EXTENTION:
RECTANGULAR
NO. OF EXTENTION: 30
4) FIN TYPE: TAPER
NO. OF FIN: 3
EXTENTION:TRAPEZIUM
NO. OF EXTENTION: 30
ISOMETRIC VIEW OF RECTANGULAR FIN WITH EXTENSION
4.3.3 TAPER FIN WITH PERFORATED
In the perforated fin the most of the profiles are in same dimension and only the perforated
hole diameter changes to 18mm, 20mm, 22mm, 24mm.
1)FIN TYPE: TAPER
NO. OF FIN: 3
HOLE DIA : 18 MM
NO. OF HOLE: 15
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Design of heat sink Chapter 4
2) FIN TYPE: TAPER
NO. OF FIN: 3
HOLE DIA : 20 MM
NO. OF HOLE: 15
3) FIN TYPE: TAPER
NO. OF FIN: 3
HOLE DIA : 22 MM
NO. OF HOLE: 15
4) FIN TYPE: TAPER
NO. OF FIN: 3
HOLE DIA : 24MM
NO. OF HOLE: 15
4.4 ANALYSIS OF HEAT SINK USING FEA
4.4.1 IMPORT THE GEOMETRY
After the creation of design the next process is to analysis the fin for heat
transfer by using software Ansys Workbench. The important factor is while saving the
model in solidworks it should be in “.igs” file format. So it can access through the FEA
software.
Now, select the type of analysis as thermal analysis for steady-state heat transfer
process. Assign unit system as customization length in mm, temperature in °C .
4.4.2 GENERATING THE MESH
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Design of heat sink Chapter 4
Now from the 3D mesh setting set mesh size towards fine the high in smooth
and fast in transition. Select the model and generate the mesh for the design
Fig.4.13 PLAIN RECTANGULAR FIN MESH
Fig.4.13 shows that a sample meshing of the model. The meshing result shows
that the solid mesh surface part having 14880 elements created, final mesh size is 3.7636
mm and surface mesh contains 72397 nodes. The mesh type is mix of brick, wedges,
pyramids and tetrahedra.
4.4.3 ASSIGNING MATERIAL TO THE MODEL
Aluminium (AL 6061 T6) has selected for the model due light weight and high heat
transfer rate and heat dissipation in this material. The manufacturing process also simple in
the aluminium and cost wise it is an economic.
S.NO. PROPERTIES VALUES
1) Density 2770 kg m^-3
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Design of heat sink Chapter 4
2) Coefficient of Thermal Expansion 2.3e-005 C^-1
3) Specific Heat 875 J kg^-1 C^-1
4) Thermal Conductivity 167 W/ m^-1 C^-1
5) Compressive Yield Strength Pa 2.8e+008
6) Tensile Yield Strength Pa 2.8e+008
7) Young's Modulus Pa 7.1e+010
8) Bulk Modulus Pa 6.9608e+010
PROPERTIES OF AL6061 T6
4.4.4 ASSIGNING LOAD AND CONSTRAINTS TO THE MESHED MODEL
In this assign the material having thermal conductivity, convection coefficient of heat
transfer for fluid, temperature of surface and ambient temperature as:
1) Thermal conductivity, k = 167 W/m °C = 0.167 J/(s mm °C)
2) Convection coefficient of heat transfer, h = 83 W/m2 °C = 0.00083 J/(s mm2°C)
3) Temperature of wall surface at which fin attached, to = 55 °C
4) Ambient temperature, ta = 30 °C
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Design of heat sink Chapter 4
Fig.4.14 Load Assign for Plain Rectangular Fin
A – Surface contact with atmosphere
B – Wall Temperature
43