An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins

The present work shows an analytical and a numerical method for heat transfer nonlinear problems in porous fins using the Darcy model. Numerical simulations are carried out with the aid of a sequence of linear problems, each of them possessing an equivalent minimum principle, that has as its limit the solution of the original problem. The nonlinear convection-radiation heat transfer process is considered and simulated by means of a finite difference scheme. Results showed the relevance of the radiation for realistic thermal mapping in porous media with percentage errors of up to 40% for the last nodes.

Automated summary

This study presents an analytical and numerical method for solving heat transfer nonlinear problems in porous fins using the Darcy model. By solving a sequence of linear problems, numerical simulations obtain an equivalent minimum principle, which converges to the solution of the original problem. The importance of radiation in realistic thermal mapping in porous media is demonstrated with up to 40% percentage errors at the last nodes.