VM-LSDYNA-SOLVE-010
VM-LSDYNA-SOLVE-010
Steady State Nonlinear Thermal Analysis with Radiation Between Contact
Surfaces
Overview
| Reference: | Kreith, F. (1959). Principles of Heat Transfer (2nd ed.). International Textbook Co. |
| Analysis Type(s): | Steady State Nonlinear Thermal |
| Element Type(s): | Shell |
| Input Files: | Link to Input Files Download Page |
Test Case
Surface A with temperature Ta = 293 °C hovers 0.1 m above surface B. A constant flux of -100 W/m2, is applied to the bottom surface. Find the steady state temperature Tb of surface B due to radiation.
| Material Properties | Geometric Properties | Loading |
|---|---|---|
|
frad = 3.78x10-8 W/(m2C°4) | gap = 0.1 m | Ta = 293 °C |
| – | A = 1 m2 | qb” = -100 W/m2 |
Analysis Assumptions and Modeling Notes
LS-DYNA Thermal Solver 1 is used. PTYPE is set to 1 in *CONTROL_THEMAL_SOLVER to specify a nonlinear problem with material properties evaluated at gauss point temperature. Both surfaces are modeled as shell elements with ELFORM 1. A constant flux was applied to each node on the bottom surface using *BOUNDARY_FLUX_SET. Radiant heat transfer is specified in *CONTACT_SURFACE_TO_SURFACE_THERMAL where the radiation factor is set to 3.78E-08 W/(m2°C4).
Heat flux due to radiation is given below:
At steady state,
From the above equation, the analytical solution for Tb is obtained as 316.351°C.
