# 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.

## Model Files

## 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.

**Material Properties****Value**- Conductivity
- 35.0 W/m°C
- Specific Heat
- 440.5 J/kg°C
- Density
- 7200 kg/m
^{3}

## Linear Static Analysis Results

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 |

## Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis