Finite Difference Solution for a Transient Radiation and Conduction Heat Transfer in PolyMethylMethAcrilat (PMMA)

Combined transient heat transfer by radiation and conduction in polymethylmethacrylate (PMMA) is studied considering temperature conditions applied to the boundaries and monochromatic intensity. This paper is focused on one-dimensional transient heat transfer of a layer using Finite Difference Method. A computer implementation has been written, which is based on implicit finite difference formulation and is capable of considering the effect of radiation. The results are compared with other data. The non-linearheat conduction equation is analyzed using the Kirchhoff transformation associated with a centered finite difference scheme. Solutions are given to demonstrate the temperature distribution and conduction and radiation heat flux profiles across the layer.

Keywords:

Radiative–conductive heat transfer , PMMA , Kirchhoff transformation