• EFFECT OF POROUS MEDIUM AND MAGNETIC FIELD ON THE FLOW OF DUSTY VISCO-ELASTIC SECOND ORDER OLDROYD FLUID THROUGH A LONG RECTANGULAR CHANNEL

Abstract

The aim of the present study is to analyse the effect of porous medium and a magnetic field of uniform strength applied perpendicularly to the flow of fluid on the unsteady flow of dusty incompressible visco-elastic second order Oldroyd fluid with transient pressure gradient through a long rectangular channel with uniform cross-section. The magnetic Reynolds number is assumed to be small enough so that the induced magneticfield is negligible. The visco-elastic fluid is electrically conducting where as dust particles are non-conducting and small in size. The analytical expression for the velocities of viscoelastic fluid and the dust particles are obtained in elegent form. The particular cases corresponding to Oldroyd dusty fluid of first order, Maxwell dusty fluid, Rivlin-Ericksen dusty fluid and dusty viscous fluid are derived for velocity field. The results for velocities of visco-elastic fluid and the dust particles are also deduced in the absence of porous medium and in the absence of magnetic field by taking limits and respectively.