International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 4, Pages 217-230
doi:10.1155/S0161171200004737

Peristaltic transport in a cylindrical tube through a porous medium

Elsayed F. El Shehawey and Wahed El Sebaei

Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt

Abstract

The problem of peristaltic transport in a cylindrical tube through a porous medium has been investigated. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio is small. The results show that the fluid phase mean axial velocity increases with increasing the permeability parameter k. The phenomena of reflux is discussed. Numerical results are reported for various values of the physical parameter