WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 8, 2013
Visco-Elastic MHD Boundary Layer Flow with Heat and Mass Transfer over a Continuously Moving Inclined Surface in Presence of Energy Dissipation
Authors: , ,
Abstract: The problem of two-dimensional free convective boundary layer flow of a visco-elastic fluid over a continuously moving inclined surface has been investigated in presence of transverse magnetic field and energy dissipation. Effects of heat and mass transfer are also analyzed in this paper. Heat is supplied from the plate to the fluid at a uniform rate. The suction at the plate is assumed to be constant and the plate is assumed to move continuously with a uniform velocity U in the upward direction. The visco-elastic fluid flow is characterized by Walters liquid (model B′). A uniform magnetic field of strength B0 is applied in the direction perpendicular to the plate. Highly non-linear momentum boundary layer equation, thermal boundary layer equation and concentration equation are converted into non dimensional form and then solved analytically by using regular perturbation technique. The analytical expressions for velocity profile, temperature field, concentration field, shearing stress, rate of heat transfer and rate of mass transfer at the surface have been obtained. The effects of Grashof number (Gr), Hartmann number (M), Prandtl number (Pr) and Schmidt number (Sc) on velocity profiles and shearing stress at the surface have been illustrated graphically for various values of visco-elastic parameter in combination with other flow parameters.
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Keywords: Visco-elastic, Walters liquid (model B/), MHD, heat and mass transfer, regular perturbation technique, Prandtl number, Schmidt number