Viscous Dissipation Effect On The MHD Flow Of A Third Grade Fluid Down: an Inclined Plane With Ohmic Heating

Abstract

The thin film flow and heat transfer problem of a third grade fluid down an inclined plane is investigated. The fluid is incompressible and electrically conducting in the presence of a uniform magnetic field. The non-linear equation governing the flow and heat transfer are solved for the velocity and temperature profile by employing the regular perturbation technique as well as homotopy perturbation method and the results are presented graphically. The effect of magnetic parameter and Brinkman number are analyzed for velocity and temperature profile. It is noticed that increase in magnetic parameter reduced the velocity of the fluid and increases the temperature profile. Also, increase in Brinkman number increases the temperature profile.

Keywords: Third grade fluid, Brinkman number, Perturbation method, Homotopy perturbation method, Magnetohydrodynamics.