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Thermal Elements Jake Blanchard Spring 2008

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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, heat fluxes, or radiation Volumetric heating is also possible

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Thermal Elements in ANSYS LINK 31 – radiation link LINK 32 – 2-D conduction bar LINK 33 – 3-D conduction bar LINK 34 – convection link 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

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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

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Real Constants Area, heat transfer coeff., and emissivity for links None for planar and solid elements Thickness for shell element (not layered) Use “Sections” for layered elements

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In-Class Problems k 1 =1 W/m-K k 2 =20 W/m-K 21 10 cm 1 cm T=100 C T=0 C

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In-Class Problems k 1 =1 W/m-K k 2 =20 W/m-K 21 10 cm 1 cm q=10 4 W/m 2 T=0 C

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In-Class Problems k 1 =1 W/m-K k 2 =20 W/m-K 21 10 cm 1 cm q=10 4 W/m 2 h=1000 W/m 2 -K T b =50 C

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In-Class Problems k 1 =1 W/m-K k 2 =20 W/m-K Channels are 3 cm in diameter 2 1 10 cm 1 cm q=10 4 W/m 2 T=50 C 15 cm 2 cm

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In-Class Problems k 1 =1 W/m-K k 2 =20 W/m-K Channels are 3 cm in diameter 2 1 10 cm 1 cm q=10 4 W/m 2 15 cm 2 cm h=1000 W/m 2 -K T b =50 C

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