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Abstract The main aim of the present thesis is to study some applications of the electrically conducting non-Newtonian fluids flow through wavy surfaces. The thesis consists of seven chapters with two summaries one of them is in Arabic language and the other is in English language and a list of references related to the subject of the thesis. Chapter (1) Includes an introduction about the following items which are related to the subject of the thesis 1.Fluid mechanics. 2.Relationship to continuum mechanics. 3.Definition of fluids. 4.Stress and strain. 5.Classification of fluids. 6.Classification of non-Newtonian fluids. 7.Basic equations. 8.Flow through porous medium included an introduction about porous medium and different models of this flow. 9.Heat transfer of the fluids and its different types (conduction-convection-radiation). 10.Mass transfer and its basic equations. 11.Magnetohydrodynamics fluids (MHD) and their equations. 12.Wave motion. 13.Perturbation method. Chapter (2) In this chapter, we were studied the problem of two dimensional steady magnetohydrodynamics (MHD) flow of a non-Newtonian fluid of type Bi-viscosity with heat and mass transfer in a circular wavy tube. A uniform magnetic field was assumed to be applied parallel to the axis of the tube. The equations governing the fluid flow with heat and mass transfer have been solved analytically subject to a set of appropriate boundary conditions. The velocity components have been obtained in terms of the stream function using the regular perturbation technique, under the assumption that the waviness of the tube is very small. The effects of the problem parameters have been illustrated graphically in the end of this chapter and important applications of this study have been presented. The results of this chapter have been rewritten and have been sent to be published in (Journal of Computers and Fluids) |