Siva Parthasarathy, Govindarajan Arunachalam, M. Vidhya
Department of Mathematics
SRM University
Kattankulathur, 603203, INDIA
Department of Mathematics
Sathyabama University
Sholinganallur, 603203, INDIA

Abstract. In this paper, a MHD peristaltic transport of dusty fluid through a porous medium in a uniform channel with elastic wall properties has been considered. This phenomenon is modeled on a system of partial differential equations governing the motion of the fluid and solid particles. This system of Navier stokes equations is linearized under long wavelength approximation and solved with appropriate boundary conditions using perturbation technique. The analytical solution is obtained for streamline functions and axial velocity profiles for both fluid and dust particles. The effects of membrane tension parameter, mass characterizing parameter, damping parameter, mass concentration of the dust particles, Hartmann number and permeability of the porous medium on streamline pattern of the fluid is studied. It is observed that the trapped bolus size increases with the increase in tension parameter, Hartmann number and permeability of the porous medium, but decreases with increase in damping and mass concentration parameters.

Received: February 20, 2015

AMS Subject Classification: 76S05, 76T20, 74F10, 35K41

Key Words and Phrases: wall properties, MHD, peristaltic flow, porous medium, trapping, reflux

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