• EFFECT OF MAGNETIC FIELD ON THE UNSTEADY FLOW OF DUSTY INCOMPRESSIBLE SECOND ORDER OLDROYD VISCO-ELASTIC LIQUID THROUGH THE RIGHT CIRCULAR CYLINDER

Abstract

The purpose of the present paper is to analyse the effect of uniform magnetic field applied perpendicularly to the unsteady flow of dusty incompressible Oldroyd visco-elastic liquid of second order under the influence of transient pressure gradient through a long right circular cylinder. This problem has been solved in the generalized visco-elastic model and the velocity field for visco-elastic liquid and the dust particles have been derived analytically in the closed form. The particular cases corresponding to Oldroyd, Maxwell, Rivlin-Ericksen dusty liquid and ordinary viscous dusty fluid models are derived for velocity field. Also we have deduced the case when uniform magnetic field is withdrawn.