Hanaa Abdulhussain, Ahmed M. Abdulhadi
Abstract: This paper investigated the effect of channel inclination on the peristaltic transport of a couple stress fluid in an asymmetric and non-uniform channel through the porous medium under the action of an externally applied magnetic field.The effects of slip velocity on the channel walls have been taken into account and the effects particle size. The non-linearity of the problem is analyzed by using the long wave length and low Reynolds number approximations. The mathematical expressions for axial velocity, stream function, pressure gradient and pressure rise per wave length have been derived analytically. The above said quantities are computed for a specific set of values of the different Parameters involved in the present model.The computational results are presented in the form of graphs. It is observed that, pressure gradient increases with the increase of Hartmann number, Froude number whereas it decreases with the increasing values of the inclination angle of the channel, Darcy number, slip parameter, couple stress parameter and Reynolds number as well as non-uniform parameter of the channel. This study puts an important observation that the occurrence of trapping bolus can be eliminated with suitably adjusting couple stress effect and the application of strong magnetic eld. The role of slip velocity has a reducing effect on the bolus size. Moreover, The size of the bolus is increased by increasing the Darcy number and non-uniform parameter of the channel.
Keywords: couple stress fluid, slip velocity, peristaltic flow, non-uniform channel, porous medium, an inclined asymmetric channel