Author/Authors :
Khan, A.A Department of Mathematics & Statistics - FBAS, IIUI, H-10, Islamabad, Pakistan , Usman, H Department of Mathematics & Statistics - FBAS, IIUI, H-10, Islamabad, Pakistan , Vafai, K Department of Mechanical Engineering - University of California, Riverside, USA , Ellahi, R Department of Mathematics & Statistics - FBAS, IIUI, H-10, Islamabad, Pakistan - Taibah University, Madinah Munawwarah, Saudi Arabia
Abstract :
The purpose of this paper is to investigate the effects of magnetohydrodynamics peristaltic flow of Walter's B fluid in an inclined asymmetric channel under the influence of slip conditions. The effects of heat and mass transfer are also taken into account. Analytical solutions of nonlinear coupled equations are obtained by regular perturbation method. Graphs for different flow parameters of interest are sketched and analyzed. It is observed that the absolute value of shear stress and heat transfer coefficient decreases by increasing the magnetic parameter whereas with the increase of magnetic parameter, the concentration decreases. Opposite behavior has been noted for temperature and heat transfer coefficient at upper and lower walls against the various values of Prandtl number, Eckert number, slip parameter and material constant of Walter's B fluid. Oscillatory behavior of heat transfer coefficient is observed which is due to propagation of peristaltic waves along the walls of the channel.
Keywords :
Magnetohydrodynamics , Peristaltic flow , Walter's B fluid , Heat transfer , Slip condition , Regular perturbation method , Analytical solutions