Heat Conduction with Temperature-Dependent Conductivity

Description

Determine the temperature distribution in a slab of dimensions (2mx0.1mx1m) which is insulated on one face, and subjected to a constant temperature of 100ºC on the other face. Assume a constant internal heat generation in the slab of 1e5 W/m3 and a linear variation of thermal conductivity.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Thermal_9.SLDPRT and open the file.

Study Type

Steady state thermal analysis.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 1 m - Thin shell formulation.

Meshing Parameters

Use a Global Size of 0.026 m.

Material Properties

Thermal conductivity has the following temperature dependency: K(T) = 50(1+2T) W/(m.ºC).

Results

  Theory SOLIDWORKS Simulation
Temperature at the right end, ºC 118.24 118.25
Temperature at the middle of the slab, ºC 113.96 113.96

Reference

Ozisik, M., "Heat Conduction," John Wiley & Sons Inc., 1980, pp. 440-443.