Numerical Treatment of Some Problems for Heat and Fluids Flow through Porous Media

Abstract

The study of heat and mass transfer during fluid flow

. through porous medium is of great interest for scientists and physicians. Many practical applications in petroleum industry, nuclear reactors, geophysics, agriculture and food industries need more investigations about thermal convection through saturated fluid in porous medium.

The present thesis deals with the study of heat and mass transfer for eight different . problems of viscous incompressible fluid flow.

Different models of physical fluid properties have been I treated in the Thesis. The fluid is assumed to be non-viscous, I

non-Newtonian or Newtonian. The porous surrounding I

medium is chosen to be either obeying Darcy's low or non- I I Darcian.

I

For each proposed physical problem, the basic I equations have been deduced, and the corresponding boundary and initial condition are formulated. Hence numerical I solutions are suggested and the calculated results are tabulated I

and represented in graphs.