Study of MHD effects on peristalic transport of non newtownian fluids flows in channels and tubes

Abstract

Peristalsis is the wavelike muscular contractions of the intestine or the tubular structures that propel the contents onward by alternate contraction and relaxation. The swallowing of food through the oesophagus, the movement of chyme through the small intestine, the colonic transport in the large intestine, the passage of urine from the kidneys to the urinary bladder through the ureters, the spermatic flows in the ductus efferentes of the male reproductive tract, the vas deferens and the cervical canal, intrauterine fluid through the sagittal cross section of the uterus and the movement of ovum in the fallopian tube are all based upon the mechanism of peristaltic transport. The vasomotion of some blood vessels e.g., venuels and arterioles and the motion in the lymphatic vessels have also been found to be of peristaltic nature. Even some worms move peristaltically. Moreover, biomechanical newlinepumps are fabricated to save blood or similar fluids from any possible contaminations arising out of the contact with the pump machinery while pumping the fluid. In this thesis, an attempt is made to model mathematically the peristaltic transport of some non-Newtonian fluids under the influence of magnetic field with different geometries, under varied boundary conditions. The thesis consists of six chapters. The first chapter presents the general introduction. The remaining five chapters deal with non-Newtonian fluids. A brief general introduction to the peristaltic flows and their applications in physiological fluid dynamics is presented in the first chapter. In the second chapter, we studied the effect of endoscope on the peristaltic flow of a Jeffrey fluid trough a porous medium with the effect of a magnetic field under assumptions of low Reynolds number and long wavelength. The expressions for the velocity and pressure gradient are obtained analytically. It is found that the pressure gradient and the pumping increase with increasing and#1050415;