Pulsatile Magnetohydrodynamic Viscoelastic Flow through a Channel Bounded by Two Permeable Parallel Plates

Abstract

Velocity profiles for unsteady pulsatile laminar flows ofviscoelastic non-Newtonian conducting fluids through a channel havederived using the perturbation method. The induced magnetic field andwall shear have been obtained. The effects of pulsation, elasticityand the magnetic parameter on the velocity, induced magnetic field andwall shear are discussed. Results are illustrated numerically andgraphically. It is found that amplitude of the pulsation increases thevelocity distribution which would be obtained under steady flowconditions at the same mean pressure gradient. The effect of both themagnetic and elasticity parameters decrease the velocitydistribution. Also the properties of the fluid on the induced magneticfield and the skin-friction are discussed.