# Thermal Analysis by hcj

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```									Thermal Elements
Jake Blanchard
Spring 2008
Thermal Elements
 These elements calculate temperatures in
solids
 There are 1-D, 2-D, and 3-D elements
 All have just 1 DOF per node
 Properties are thermal conductivity (k) for
steady state analysis and density () and
heat capacity (cp) for transient analyses
 Boundary conditions can be temperatures,
 Volumetric heating is also possible
Thermal Elements in ANSYS
   LINK 32 – 2-D conduction bar
   LINK 33 – 3-D conduction bar
   PLANE 35 – 6 node triangle
   PLANE 55 – 4 node quad
   PLANE 75 – 4 node axisymmetric-harmonic
element
   PLANE 77 – 8 node quad
   PLANE 78 – 8 node axisymmetric-harmonic
element
More Thermal Elements
 SOLID 70 – 8 node solid
 SOLID 87 – 10 node tetrahedral element
 SOLID 90 – 20 node hexahedral element
 SHELL 57 – 4 node
 SHELL 131 – 4 node layered element
 SHELL 132 – 8 node layered element
Real Constants

 Area, heat transfer coeff., and emissivity
 None for planar and solid elements
 Thickness for shell element (not
layered)
 Use “Sections” for layered elements
In-Class Problems
T=0 C
 k1=1 W/m-K
 k2=20 W/m-K

1   2
T=100 C
1 cm
10 cm
In-Class Problems
T=0 C

 k1=1 W/m-K
 k2=20 W/m-K

q=104 W/m2          1    2

1 cm
10
cm
In-Class Problems h=1000 W/m2-K
Tb=50 C
 k1=1 W/m-K
 k2=20 W/m-K

q=104 W/m2          1    2

1 cm
10
cm
In-Class Problems T=50 C

 k1=1 W/m-K
2
 k2=20 W/m-K                        2 cm
   Channels are 3 cm
in diameter         1                   15
cm
1 cm
10
q=104 W/m2                         cm
In-Class Problems h=1000 W/m2-K
Tb=50 C
 k1=1 W/m-K
2
 k2=20 W/m-K                      2 cm
   Channels are 3
cm in diameter    1                   15
cm
1 cm
10
q=104 W/m2                     cm

```
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