Some Problems of Newtonian and non-Newtonian Fluid Mechanics in The Prese,ncc of External Forces

Abstract

The main aim of this thesis is to investigate some problems of Newtonian and non-Newtonian fluid Mechanics in the presence of external forces. This thesis consists of five chapters:-

Chnptcr 1: Includes general introduction and consists of the following items 1- The definition of fluids, including the definition of shear stress, and the differences between solids and fluids. 2- Definitions of some properties, which include coefficient of viscosity, kinematic viscosity, thermal conductivity, coefficient of skin friction, rate of heat transfer, porosity and permeability. 3- Classification of non-Newtonian fluids.

4- Constitutive equation, which takes different forms as power law, modified power law, Walter's model, Power series model, Ree-Eyring model and other formulae. 5- The equations of flow for incompressible Newtonian and non­ Newtonian fluids, which are the equation of continuity, equations of motion and the energy equation. , 6- Mass transfer, which consists of the definition of mass concentration, the equation of mass transfer and mass transfer coefficient. 7- Flow in porous media, we introduced in this part an introduction about porous medium and Darcy momentum equation. 8- Magnetohydrodynamic (MHO), including an introduction about

MHO, the basic equations of MilD and the hall effect.

9- The last part of this chapter includes abstracts of some prevtous studied. Chapter 2: In this chapter, we had studied the hall effect on MHO

viscoelastic free convection flow with mass transfer through a porous