• PERISTALTIC FLOW OF A THIRD ORDER FLUID THROUGH A POROUS MEDIUM IN A SYMMETRIC CHANNEL

Abstract

In this paper we studied peristaltic motion of a third order fluid through a porous medium in a symmetric channel under the assumptions of long wavelength and low Reynolds number. The expressions for the velocity pressure rise and friction force over one wavelength are obtained by a regular perturbation technique. The effects of various emerging parameters on the pressure gradient, pressure rise and frictional force over one wavelength are discussed. It is observed that, the pressure gradient increases as the Darcy number or Deborah number increases. It is found that, as the Deborah number increases the pumping and magnitude of the friction force both increase. Both the pumping and friction force decrease with an increase in the Darcy number. Further, the pumping is less for Newtonian fluid than that of third order fluid .