NUMERICAL TREATMENT OF SOME HEAT TRANSFER PROBLEMS OF FLUIDS FLOW IN POROUS MEDIUM

Abstract

Our aim in this thesis, which consists of four chapters, is to study some problems of flow and heat transfer in porous medium. In chapter one, we introduce the basic concept and historical review of flow through a porous media. In chapter two, we discuss the mixed convection in non-Newtonian fluids along an isothermal vertical cylinder in a porous medium: The power law model of Ostwald-de-Waele, which is adequate for many non­ Newtonian fluids, is considered here. The governing equations are first transformed into a dimensionless form and the resulting non-similar set of equations is solved by a finite difference method. Numerical result for the velocity and temperature fields are presented In chapter three radiative effect on natural convection flows in porous media: A regular two parameter perturbation analysis is presented here to study the radiative effects of both first and second order resistance due to a solid matrix on the natural convection flows in porous media. Four different flows have been studied, those adjacent to an isothermal surface, a uniform heat flux surface, a plane plume and the flow generated from a horizontal line energy source on a vertical adiabatic surface. Numerical results for the four conditions with various radiation parameters are tabulated.