OS-V: 0110 One Dimensional Transient Heat Transfer

Test No. T3 OptiStruct examines the material temperature at point C, 0.08 m from point A. The total simulation time is 32 seconds for transient 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

The 2-noded beam elements, Quad4 elements and Quad8 elements are used to build the model with 5 elements each for the coarse mesh and 10 elements each for the fine mesh. At time t = 0, all temperature = zero and at time t > 0, at one end temperature is zero and at the other end temperature is 100 sin(πt/40) °C. There is no heat flux perpendicular to the length of the beam.

The material properties are:
Material Properties
35.0 W/m°C
Specific Heat
440.5 J/kg°C
7200 kg/m3

Linear Static Analysis Results

All results are normalized with the target value (36.60 °C).
  Material temperature at point C, x = 0.08m, time t = 32sec (°C) Normalized with the Target Value
Beam Elements:    
CBEAM coarse 33.6 1.089285714
CBEAM fine 34.58 1.058415269
Quadrilateral Element:    
Quad4 coarse 33.6 1.089285714
Quad8 coarse 35.1 1.042735043
Quad4 fine 34.58 1.058415269
Quad8 fine 35.19 1.040068201


NAFEMS R0015 - Selected benchmarks for natural frequency analysis