A Study of Some Non Newtonian Fluid Flows with or without Peristalsis

Abstract

The present thesis consists of six Chapters. Chapter I is general introduction of the thesis. newlineThe second and third Chapters deal with non-peristaltic flows where as the reaming three Chapters newlinedeal with peristaltic pumping. In Chapter II we investigate the Squeezing flow of a Jeffrey fluid newlinebetween two parallel porous disks. Three dimensional flow of Jeffrey fluid bounded by two disks newlineone rotating and other stationary with suction is examined in Chapter III. The velocity field, newlinepressure distribution, skin frictions are obtained by analytical solution and are discussed newlinegraphically for different physical parameters of interest. It is noticed that the radial velocity is newlineincreasing with the increase of Reynolds number. The maximum velocity occurs at the center of newlineregion between the disks and the pressure coefficient increases with decrease in suction Reynolds newlinenumber R. The maximum pressure occurs at the stationary disk. newlineWe studied the peristaltic transport of a conducting Jeffrey fluid between two permeable newlinewalls with suction and injection in Chapter IV, the influence of Hall effect on peristaltic transport newlineof a couple stress fluids in a vertical asymmetric channel in Chapter V and peristaltic transport of newlinean Ellis fluid through an inclined circular tube in Chapter VI. The velocity field, pumping newlinecharacteristics, frictional force, temperature, concentration and flux are obtained by using newlineanalytical solution. The effects of suction, amplitude ratio, permeability, couple stress, Froude newlinenumber, Hartmann number, magnetic and Hall parameters are discussed graphically. We observed newlinethat, pressure rise decreases with increasing the suction parameter k, frictional force shows newlineopposite behavior to that of pressure rise, for subcritical flow and#1048587;Fr and#1048607;1and#1048588; the velocity profile u(y) newlinehas strengthened than that for critical and#1048587;Fr and#1048608;1and#1048588; and supercritical and#1048587;Fr and#1048609;1and#1048588; flow cases. The velocity newlineprofile u(y) decreases with the increase Froude number Fr and rate of flux Q is positive only for newlinenegative values of the pressure difference, i.e.,