MOTlO oF ELECTRICALLY CONDUCTING FLUIDS IN CIRCULAR CHANNELS

Abstract

The purpose of this thesis is to- present a mathematical study of some problems on the flow of a conducting fluid through porous medium in circular pipes under the effect of an external magnetic field. The most important characteristic of the flow "velocity distribution" in circular pipes has been determined analytically using an approximate method and has been represented in graphical forms. This study includes four chapters. Chapter one presents a general review about the importance• of magnetohydrodynamics and its applications in different cases. In this chapter, an_ introduction, a comprehensive review of literature, a lay out of the problem, some related definitions, some imp01tant parameters and fundamental equations are reported.

While in chapter two, the unste dy MHO flow through porous medium in circular pipes with constant pressure gradient is investigated. In this chapter, an introduction, formulation of the problem, analytical approximate solution, results and comments are studied and reported. Finally a comparison between exact and approximate solution has been presented.

In chapter three, the unsteady MHD pulsatile flow through porous medium

111 circular pipes has been investigated. Also, an introduction, formulation of the problem, analytical approximate solution, results and comments are discussed and reported.

In chapter four (last one), the unsteady MHO pulsatile flow through porous medium in circular pipes under the effect of body acceleration has been investigated. This chapter includes an introduction, formulation of the problem, analytical approximate solution, results and comments