Nonlinear transient heat transfer in composite slabs
Abstract
Transient heat conduction in composite slabs subject to simultaneous convection and radiation is studied. The temperature distribution in the composite slabs with contact resistance at interfaces is solved and is presented in terms of radiation number, Biot's number, initial to ambient temperature ratio, and the thermal properties ratios of the slabs. In the analysis, Biot's variational method is employed. With this technique, the complicated nonlinear problem is reduced to an initial value problem which is solved with the available standard numerical technique. For the purpose of comparison, the same problem is also solved using the finite difference method. The results, based on both variational and numerical methods, are in good agreement.
- Publication:
-
American Society of Mechanical Engineers and American Institute of Chemical Engineers
- Pub Date:
- August 1976
- Bibcode:
- 1976ceht.confQ....C
- Keywords:
-
- Biot Method;
- Composite Materials;
- Conductive Heat Transfer;
- Temperature Distribution;
- Boundary Value Problems;
- Finite Difference Theory;
- Time Response;
- Variational Principles;
- Fluid Mechanics and Heat Transfer