Heat Conduction Due to Heating Cables

Description

A series of heating cables have been placed in a conducting medium. The medium has conductivities of KX=10 W/(m.°K) and KY=15 W/(m.°K). The lower surface is bounded by an insulating medium. A convection coefficient of 5 W/(m²-K) is applied at the upper surface. Assuming that each cable is a point source of 250 W, determine the temperature distribution in the medium.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Thermal_6.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 0.5 m.

Material Properties

Thermal conductivity in the x direction KX = 10 W/(m.K), Thermal conductivity in the y direction KY = 15 W/(m.K).

Modeling Hints

Since the cables are uniformly distributed throughout the medium, the problem can be simplified by analyzing only the section shown in the figure. Because of symmetry, the two vertical sides are insulated.

Results

Reference

J. N. Reddy, "An Introduction to the Finite Element Method," McGraw-Hill Book Company, 1984, pp. 260.