EXACT SOLUTION OF MAGNETOHYDRODYNAMIC SLIP FLOW AND HEAT TRANSFER OVER AN OSCILLATING AND TRANSLATING POROUS PLATE.

Ali, Yasir; Khan, Arshad Alam

Objective of this paper is to study natural convection MHD ow past over a moving porous plate with heat source in the porous medium. The motion of the plate is translating as well as oscillating and embedded in the porous medium. The exact solution of the governing equations, of the ow and heat transfer for this model is obtained. To study heat ux for our model we use Nusselt number. Comparisons of effects of magnetic parameter M, translation a and heat source parameter S on velocity and temperature profile is given. The effects of some other physical parameters like Prandtl number Pr, Grashof number for heat transfer Gr, Permeability parameter Kp, is presented graphically on the distributions of velocity and temperature. It is concluded that the uid motion in the boundary layer increases with increase of a, S, Gr and KP. Whereas opposite behavior is observed for M and Pr. The heat source parameter increases the temperature of uid and on the other hand cooling effects occur due to Pr and υ0.

STRUCTURAL plates; MAGNETOHYDRODYNAMICS; SLIP flows (Physics); HEAT transfer; POROUS materials; PRANDTL number

Discrete & Continuous Dynamical Systems - Series S, 2018, Vol 11, Issue 4, p595

1937-1632

Academic Journal

10.3934/dcdss.2018034