الفهرس 
CHAPTER 1: Introduction and literature reviewOnly 14 pages are availabe for public view
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Abstract
It is a fact to mention that the analysis for the transport of biofluids through the peristaltic mechanism draws the physiologists’ attention in their investigations due to ongoing growth in the biomedical and technological applications related to this type of motion. In the beginning, it is relevant to understand the nature of the peristaltic flow and how it is formed. Fluid locomotion along the path of this mechanism occurs as a result of the dilatation and constriction of tube/channel wall due to the elastic wall properties. In the biological systems, peristalsis is a natural process which is familiar and occurring inside the living bodies such as the urine flow through the ureter from kidney to the bladder, the movement of intestines, gastrointestinal, bile tubes, and many glandular conduits. Peristaltic activity appears also in the motion through the small blood vessels. The esophagus is elastic muscular tube resulting in peristalsis waves causing propulsion of the food bolus towards the stomach. Sperm is locomoted along the vas deferens by the peristaltic contractions. The uterine tubes are the female muscular passages which use the peristalsis action to move the ova to the uterus. Peristalsis causes the movement of lymph through lymphatic tract. Also it is used in biomedical machines as heart lung pump which helps to pump the blood. By applying the principles of peristalsis in industry, mechanical finger and roller pumps were manufactured for transporting the corrosive and toxic fluids to avoid any further damage. Introducing heat transfer is very necessary in many medical processes like dialysis treatment and oxygenation. Heat transfer effect is clearly significant in the treatment of cancer cells. Slip phenomenon occurring at the walls exists in the case of pumping rarefied gasses and the flow of polymers. The biological systems are affected by an application of external magnetic field on blood flow through human arterial system. Many mathematical models have already been investigated by several research workers to explore the nature of blood flow under the influence of an external magnetic field. Wall compliance properties have received a well concentration amongst latest investigations studying the peristaltic process of bio-fluids. As the liquid compressibility has a significant effect on the nature of the fluid transport, then it draws the interest of many researchers. The two-phase flow has an essential action in many of engineering applications and especially in the biological field. Solid particles constructed within the kidneys or appearing because of shattering larger kidney stones producing two phase peristaltic transport via the ureter. This kind of flow is formed when the ultrasonic radiation affects the liquid flow through space porosity. The theory of fluid suspension is very important in various situations such as sedimentation, combustion, powder technology, aerosol filtration, lunar ash flow, fluidization, atmospheric fallout, environmental pollution, etc. There are many examples of natural porous media such as beach sand, sandstone, limestone, rye bread, wood, the human lung, bile duct, gall bladder with stones and in small blood vessels. In some pathological situations, the distribution of fatty cholesterol and artery clogging blood clots in the lumen of coronary artery can be considered as equivalent to a porous medium. The magneto hydrodynamic (MHD) flow of a fluid with peristalsis has interest in connection with certain problems of the movement of conductive physiological fluids, the blood, blood pump machines and the peristaltic MHD compressor with the need for theoretical research. The essential work of this thesis is divided into four parts: the first part is to study the peristaltic transport of compressible slip fluid carrying out particles suspension in a wall compliance planar channel analytically where in the second part the additional influences of both transverse magnetic field, space porosity, particles concentration, flexible compliant wall features and slip action are introduced in presence of effectual liquid compressibility on the peristaltic flow behaviour through rectangular duct using a semi analytical technique of a perturbation method. In the third part the model of Maxwell liquid is worth to be handled and showing the effect of relaxation time in presence of elastic compliant wall properties and slip boundary conditions with peristaltic locomotion of Maxwellian fluid and showing also the compressibility effect. Finally the peristaltic flow in circular tube is also presented in the last part where heat transfer effect is the parameter of interest besides the compliant wall characteristics, liquid compressibility and slip conditions.