الفهرس 
CHAPTER 1: IntroductionOnly 14 pages are availabe for public view
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Abstract
Peristaltic transport is a form of material transport induced by a progressive wave of area contraction or expansion along the length of a distensible tube. The phenomenon of mixing and transporting the fluid in the direction of the wave propagation is called peristalsis. It plays a vital role in transporting many physiological fluids in the body in various situations; such as urine transport from kidney to bladder, the movement of chyme in the gastrointestinal tract, transport of spermatozoa in the ductus efferent’s of the male reproductive tract, movement of ovum in the fallopian tubes, swallowing of food through esophagus and vasomotion of small blood vessels. Many modern mechanical devices have been designed on the principle of peristaltic pumping to transport fluids without internal moving parts; for example the blood pump in the heart-lung machine and peristaltic transport of noxious fluid in nuclear industry. In the past, several theoretical and experimental investigations have been made just to understand peristalsis in different situations. The study of different cases for this motion has attracted much attention recently. 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 with the need for theoretical research on the operation of a peristaltic MHD compressor.
The present work is divided into two parts: the first part is to study the effect of slip conditions on peristaltic transport of a particle-fluid suspension in a planar channel and cylindrical tube analytically, and the second part is to study the influence of heat transfer on fluid suspended flow through porous medium in the presence of magnetic field, using a perturbation and long wave length approximation methods. In chapter 1, general introduction concerning the following items is entitled: Biomechanics and its resources (bioengineering, biomathematics and biophysics). Biofluidmechanics and its subarea Biofluiddynamics. Peristaltic motion and historical review on it. Newtonian and non-Newtonian fluids. Flow through porous medium. Slip flow. Magneto-Fluid flow. Particle-Fluid Suspension. Perturbation method. Technique of long wave length approximation. In chapter 2, the slip effect on the peristaltic motion of a particle-fluid suspension of an incompressible fluid is studied in a two-dimensional channel with sinusoidal wave, which achieves a good simulation of motion of liquid through a channel. A perturbation solution (to second order of the amplitude ratio) is obtained which satisfies the momentum equations for small amplitude ratio (wave amplitude/channel half width). The fluid phase mean axial velocity induced by the travelling wave is calculated for various values of the particle concentration, Reynolds number and Knudsen number. The phenomenon of reflux (the mean flow reversal) is discussed under slip conditions. It is found that the mean flow reversal is strongly dependent on the particle concentration and the presence of the particles in the fluid favors the reversal flow.
In chapter 3, the effect of heat transfer of the liquid on the peristaltic pumping of an
incompressible liquid with suspended particles in a two-dimensional channel with
sinusoidal wave is discussed. A perturbation solution (to second order of the amplitude
ratio) is obtained which satisfies the momentum equations when the amplitude ratio is
small. In a second order approximation the axial velocity induced by travelling wave is
found for various values of the Reynolds number Re and the particle concentration C,
slip condition and magnetic field. It is found that the heat transfer of the liquid, particle
concentration and magnetic field strongly influence on the axial velocity.
In chapter 4, the long wave length approximation method is used to study the effect
of slip condition on blood flow through porous medium in the presence of magnetic
field with fluid suspension through an artery. It is found that the axial velocity is
strongly affected by the permeability parameter of porous medium, amplitude ratio and
the Brinkman number.
In chapter 5, the long wave length approximation has been used to investigate the
heat transfer effect on blood flow through porous medium with the presence of
magnetic field in fluid suspension flow through an artery. It is found that the axial
velocity is strongly dependence on Knudsen number, the permeability parameter of
porous medium, amplitude ratio and the Brinkman number.
General conclusions extracted from the present theoretical study will be
implemented in chapter 6. This will be ended by some suggestions for future studies.