OS-V: 0120 Two-Dimensional Heat Transfer with Convection

Test No. T4 The model has zero internal heat generation and OptiStruct examines the temperature at point E for steady-state heat transfer analysis.

Figure 1. FE Model with Boundary Conditions and Loadcases


Model Files

Before you begin, copy the file(s) used in this problem to your working directory.

Benchmark Model

A 10x6 mesh configuration is created with QUAD4, QUAD8, TRIA3 and TRIA6 elements. One edge of the plate has a prescribed temperature of 100 °C, one end is insulated, and there is convection to the ambient temperature at the other two edges.

The material properties are:
Material Properties
Value
Conductivity
52.0 W/m°C
Surface Convective Heat Transfer Coefficient
750.0 W/m2 °C

Linear Static Analysis Results

All results are normalized with the target value (18.30 °C).
Shell Element Material Temperature at Point C, x=0.08m, time t=32sec (°C) Normalized with the Target Value
Quad4 17.77 1.029825549
Quad8 17.1 1.070175439
Tria3 17.29 1.058415269
Tria6 16.83 1.087344029

Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis