MHD Flow of Visco-Elastic Oldroyd Liquid with Transient Pressure Gradient through Porous Medium in a Long Rectangular Channel

Abstract

The aim of the present paper is to investigate the magnetohydrodynamic unsteady flow of a conducting visco-elastic Oldroyd liquid through porous medium in a long rectangular channel under the influence of transient pressure gradient. The numerical computations of the velocity profiles have been presented. The results for visco-elastic Maxwell liquid, visco-elastic Kuvshinisky and purely viscous liquid have been deduced from Oldroyd visco-elastic liquid by taking limits (i) (ii) and (iii) , respectively. We have discussed the particular cases for (I) i.e. magnetic field is withdrawn and (II) i.e. porous media is withdrawn. If magnetic field and porous media both are withdrawn then all expressions of Kundu and Sengupta (2001) are obtained.