SOME PROBLEMS IN DYNAMICS OF ELECTRICALLY CONDUCTING FLUIDS

Abstract

The aim of this thesis is to investigate some problems in dynamics of electrically conducting fluids. The thesis consists of five chapters: In chapter I, We presented an introduction to the following topics. (I) Basic equations (2) Classification of fluids. (3) Magnetofluiddynamics. (4) Couple stresses in fluids. (5) Flow in a porous medium. (6) Rotating fluid dynami,..c._:,s. (7) Survey on Rheology and some Egyptian works on the flow of electrically conducting non- Newtonian fluids. In chapter II, We investigate one problem: (Free convective magnetohydrodynamic flow and heat transfer in a viscoelastic incompressible fluid confined between a long vertical wavy wall and a parallel flat wall.) In this work we study a two-dimensional free convection flow of a viscoelastic non- Newtonian incompressible fluid between a long vertical wavy wall and a parallel flat wall. The fluid under consideration is electrically conducting and obeying Walter's liquid B1 model. A w1iform magnetic field is assumed to be applied perpendicular to the flat wall. Using the perturbation technique subject to a set of appropriate boundary conditions we solved the system of non-linear partial differential equations governing the fluid flow and heat transfer.