الفهرس 
Chapter 1 IntroductionOnly 14 pages are availabe for public view
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Abstract
The study of the effect of magneto-hydrodynamic (MHD) properties on flow in some fluid systems is of great importance. This importance is shown when studying the salt water flow under the influence of applied and induced magnetic fields for its emergence in several fields such as geophysics, chemistry, biology… etc.
This study also contributes in general to important technological fields such as power generation, design of cooling systems for the use in nuclear reactors, as well as heating, pumping, stirring and lifting of liquid minerals required in the field of the metallurgical industries… etc.
This thesis contains four chapters organized as follows: Introduction, three chapters and a list of references.
In chapter one: We introduce essentials outlines, some important and basic definitions such as magneto-hydrodynamics (MHD) definition and its equations, continuum hypothesis definition ... etc. This chapter also includes mathematical illustration of Navier-Stokes Equations, Entropy generation equations and some of the analytical methods for the MHD equations solutions.
At the end of this chapter, a survey of the previous work is introduced.
In chapter two: the problem of steady magneto-hydrodynamic (MHD) flow of an incompressible viscous fluid over a stretching sheet is discussed. A system of nonlinear differential equations describing the problem is solved analytically using the
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homogeneous balance method where the induced magnetic field is taken into account. Sea water is the working fluid in our problem. We found that the resulting solutions depend on different governing parameters including the magnetic parameter and the ratio between the straining velocity of the stagnation point flow and the stretching velocity of the sheet. The resulting solutions include the non-dimensional temperature, velocity and induced magnetic field functions; they are plotted with the selected values of the mentioned above parameters. Also, the ratio between kinetic and magnetic energies, the resultant non-dimensional velocity, non-dimensional induced magnetic field, the non-dimensional entropy generation and Bejan number are represented with the same selected parameters. Almost all these quantities are damping far from the stretching source.
In chapter three: The problem of a steady, incompressible and fully developed laminar fluid flow is discussed. This study focuses on the predictions of the pumping performance of 1M NaCl solution in the framework of the MHD equations describing the resulting flow. An analytical solution via the wave-position assumption is introduced in solving for the velocity profile of the working fluid across the micro-channel. The obtained solutions which include the dimensional flow velocity, volumetric flow rate, average velocity and pressure gradient are plotted under various operating currents, magnetic flux densities and micro-channel aspect ratio values for the application of micro-fluidic systems.
In chapter four: The effect of a variable applied magnetic field and hall current on an incompressible and optically thick fluid is investigated. The effect of MHD properties on the unsteady
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hydro-magnetic natural convection with heat transfer over an impulsively moving vertical plate embedded in a fluid is studied where the entire system rotates about an axis normal to the plane of the plate with uniform angular velocity ( . Seawater is the working fluid in our problem. The system of nonlinear partial differential equations is solved analytically using the Cole-Hopf transformation. The resulting solutions include the temperature, primary and secondary velocities. It is found that the resulting solutions depend on different governing parameters including the magnetic and rotational parameters, Eckert number and initial secondary velocity, which are plotted at selected values of the above mentioned parameters. Also, from the irreversible thermodynamic point of view the entropy generation and Bejan numbers are estimated and illustrated under the same conditions. Almost all these dependent variables are damping far from the rotating plate.
Note
1. A paper is accepted for publication in Mathematical Modelling of Engineering Problems (MMEP) under the title, Analytical solution of sea water steady magneto-hydrodynamic equations subjected to stretching sheet under induced magnetic field and heat transfer.
2. A paper is submitted for publication to The European Physical Journal Plus (EPJP) under the title, On The Steady Incompressible Laminar Saltwater Flow Through A Rectangular MHD Micropump.
3. A paper is submitted for publication to Journal of Mathematical Fluid Mechanics (JMFM) under the title, Analytical Solution via Cole-Hopf Transformation of the Unsteady MHD Equations of Seawater Flow under the Influence of Thermal, Magnetic, Mechanical Rotation and Hall Effects.