Thermal 01: cylinder with prescribed heat flux

A prescribed heat flux is applied to the cylinder.

Case Description

A prescribed heat flux is applied to the cylindrical face of a solid cylinder for a portion of its length (h'). The remainder of the face is insulated (no thermal load). The bottom (-Z) end of the cylinder is held at a temperature of 0.0 °C. All other faces are insulated. Find the temperature at the boundary between the prescribed heat flux and the insulated portion of the cylindrical face.

Dimensions

• h = 50 mm
• h' = 20 mm
• Diameter = 200 mm
• Coordinates of Point A = (0, 0, 100)

Study Type

• Thermal

Mesh Parameters

• Mesh Type = Solid, Tetrahedral
• Mesh Size = 5 mm, absolute
• Element Order = Parabolic
• Adaptive Mesh Refinement: None

Material Properties

• Thermal Conductivity = 0.052 W/(mm·°C)

Loads

• Heat Flux at h' face (partial length of cylinder) = 5.0 x 105 W/m2
• Applied temperature at bottom face (-Y end of cylinder) = 0˚C

Comparison of Results

Temperature at the edge separating the heat flux zone from the insulated portion of the cylindrical face. We'll probe for the results at Point A, which lies along the edge of interest.

Reference

This problem is a standard NAFEMS benchmark: NAFEMS, BMTTA (S), No. 15 (i).