Nonsteady temperature distribution in solids using the optimization principles
Abstract
The transient temperature distribution within a solid subjected to nonlinear boundary conditions have been obtained using the finite element method. The conduction and the capacitance matrices have been evaluated as a function of temperature due to the nonlinearity in the material properties of the solid. The nonlinear algebraic equations are solved using the variable metric method and an iteration technique. The results indicate that the variable metric method can be a useful tool in solving nonlinear heat transfer problems.
- Publication:
-
AIAA, 20th Thermophysics Conference
- Pub Date:
- June 1985
- Bibcode:
- 1985thph.confU....S
- Keywords:
-
- Convective Heat Transfer;
- Large Space Structures;
- Radiative Heat Transfer;
- Temperature Distribution;
- Finite Difference Theory;
- Finite Element Method;
- Iterative Solution;
- Nonlinear Equations;
- Solids;
- Fluid Mechanics and Heat Transfer