JP Journal of Heat and Mass Transfer
Volume 6, Issue 1, Pages 47 - 72
(February 2012)
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EFFECTS OF VELOCITY SLIP, VISCOUS DISSIPATION AND THERMAL DIFFUSION ON AN MHD THREE- DIMENSIONAL COUETTE FLOW WITH TRANSPIRATION COOLING
Nazibuddin Ahmed and Dhruba Prasad Barua
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Abstract: This paper concerns with an analysis of an MHD three-dimensional Couette flow with heat and mass transfer, in presence of Soret effect, transpiration cooling and viscous energy dissipation. A first order velocity slip condition is imposed on the upper moving plate whereas the lower plate is at rest. The porous plates’ temperatures and molar species concentrations are assumed to be sinusoidal along the widths of the plates. Furthermore, we impose sinusoidal injection and suction velocities at the lower and upper plates respectively. The expressions for the dimensionless velocity fields concerning the main flow and the cross flow, the dimensionless temperature field, the non-dimensional species concentration field and the non-dimensional rate of mass transfer at the lower plate’s surface have been obtained. It is observed that the magnetic field, the viscous energy dissipation, the variable injection and suction, the sinusoidal plates’ temperatures and species concentrations, the thermal diffusion and the velocity slip have a significant influence on the main flow and the cross flow shear stresses, the rates of heat and mass transfer at the stationary plate. |
Keywords and phrases: velocity slip, thermal diffusion, MHD, Couette flow, 3-D, viscous dissipation. |
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