Resolution of Heat Transfer Problems by Using a New Approach: Finite Windows Methods

Abstract

This work presents a new approach of resolution of the Partial Differential Equations (PDE), which makes it possible to solve problems defined by complex PDEs. We named this method “Finite Windows Methods” (FWM). This method is adapted to the complex problems such as the modeling of the multiphasic phenomena of transfer in porous environments (drying, flows in an oil tank, …), which utilizes conservation PDEs (mass, energy, momentum) generally nonlinear, and of mechanical balance in the porous matrix which becomes deformed under the effect of the transfers. The first part of this work consists of presenting and describing the method in general. Then the method is tested on a simple case of transfer of heat through a wall.