Magnetohydrodynamics of blasius viscoelastic fluid with viscous dissipation and suction/injection effects

Abstract

Due to the existence of viscoelastic fluid in technological applications, the research in the viscoelastic fluids has increase rapidly. In this study, the magnetohydrodynamics flow for the Blasius viscoelastic fluid along with the effects of viscous dissipation and suction or injection is considered. Since the equation of motion in viscoelastic fluid is one order higher than the Navier-Stokes or boundary layer equations, an extra boundary condition is imposed by augmenting the boundary condition at infinity. The governing equations are transformed into a non dimensional boundary layer equation by using non dimensional variables. The equations are solved numerically by using Keller-box method. Numerical results consist of the velocity and temperature profiles are presented graphically for assorted values of magnetic parameter, M, viscoelastic parameter, K, suction or injection parameter, f w, Prandtl number, Pr and the ratio moving parameter, X . It is found that, as the values of all parameters increased, the velocity profiles are also increased but opposite situation occurred in temperature profiles