الفهرس 
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Abstract
This thesis consists of six chapters, appendix and a list of references related to the subject of the thesis. This chapters can be summarized as follows:
Chapter 1:
This chapter gives an introduction of fluid mechanics, It includes the items which are closely related to the subject of the thesis.
Chapter (2)
Through this chapter, we studied the influence of varying magnetic field on the unsteady magnetohydrodynamics oscillatory flow of an incompressible Kuvshinsk’s fluid through porous medium between two permeable rotating parallel plates.
Chapter (3)
The aim of this chapter is to study the effect of an Ohmic dissipation on the pulsatile flow of an incompressible non-Newtonian fluid obeying Burgers’ model with heat transfer.
(This problem was published in Special Topics & Reviews in Porous Medium – An International Journal Vol. 1, No. 3, PP. 243-255, 2011).
Chapter (4)
In this chapter, we studied the hydromagnetic Couette flow of an electrically conducting and incompressible Burgers’ fluid with heat and mass transfer. Chapter (5)
Through this chapter, we discussed the problem of unsteady flow with heat and mass transfer of electrically conducting non-Newtonian fluid of Burgers’ model through porous medium in a vertical channel.
Chapter (6)
In this chapter, we obtained an analytical solution of the M H D flow of an electrically conducting and incompressible non- Newtonian fluid obeying the Oldroyd-B model in a porous medium between two vertical circular cylinders is investigated.