Nonlinear Transient Heat Transfer from Composite Slabs
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.
American Society of Mechanical Engineers
Chung, Benjamin T.F. and Yeh, L. T., "Nonlinear Transient Heat Transfer from Composite Slabs" (1976). Mechanical Engineering Faculty Research. 1026.