Peristaltic flow of Newtonaian and Non-Newtonian fluids in an asymmetric channel

Abstract

Peristalsis pumping is a fonn of fluid transport which is generated by a progressive V'lave of area contraction or expansion along the walJs of a distensible duct containing liquid. This kind of fluid transport appears in many biological organs such as urine transport from kidney to bladder through the ureter, movement of chyme in the gastrointestinal tract, the movements of spermatozoa in the ducts efferentes of the male reproductive tract and the ovum in the female fallopian tube, the locomotion of some warms, transport of lymph in tJle lymphatic vessels and vasomotion of small blood vessels such as arterioles, veins, and capillaries involve the peristaltic motion. In addition, peristaltic phenomena is used in industrial engineering, and biomechanical applications like sanitary fluid transport, blood pumps in heart lungs machine, roller and finger pumps and transpoI1 of con'osive fluids where the contact of the fluid with the machi nery parts is prohibited. In view of these interesting appl ications, the peristaltic flows with different flow geometries for both Newtonian and non-Newtonian fluids have been reported analytically, numerically and experimentally by number of researchers. Most of these studies have been made under certain simplifying assumptions regarding the magnitudes of the wave amplitude, the wave length, the Reynolds number and the time mean flow. Analytically, these studies are investigated either in a fixed frame of reference or in a wave frame of reference moving with a constant velocity of the wave simplifying the study to a case with stationary wavy walls. The study of motion of non-Newtonian fluids has applications in many areas. Due to complexity of fluids there are many models of non-Newtonian fluids each exhibits different properties. Only a limited attention has been focused to the study of nonNewtonian fluids in asymmetric channel. Physiologists observed that the intrauterine fluid flow due to myometrial contraction is peristaltic type motion and myomaterial contTaction may UCl:ur in both synunetric and asymmetric directions. Motivated from the applications and importance's highlighted above, the purpose of the present thesis is to discuss the peristaltic flows of Newtonian and non-Newtonian fluids in an asymmetric channel. It is worth mentioning that few new models have been modeled and presented in this thesis which has not reported for peristaltic flow problems. The thesis has been organized in the following maimer: The li terature survey and introduction on the subject is given in chapter zero. Chapter one is devoted to the study of heat transfer in a peristaltic flow of MHD fluid with partial slip. The peristaltic flow of a couple stress fluid under the effect of induced magnetic field in an asymmetric channel has been discussed in chapter two. In chapter three, we have examined the influence of heat transfer and magnetic field on a peristaltic transport of a Jeffrey fluid in an asymmetric channel with partial slip. Chapler four is devoted to the study of influence of induced magnetic field on the peristaltic motion of Jeffrey fluid in an asymmetric channel. The study of slip effects on the peristaltic flow of a Jeffrey fluid in an asymmetric channel under the effects of induced magnetic fie ld is carried out in chapter five. The study of peristaltic flows of some new models such as six constant Jeffrey fluid, Walter's B fluid, hyperbolic tangent fluid and Willianlson fluids are presented in chapter six to ten.