Unsteady MHD convection flow of polar fluids past a vertical moving porous plate in a porous medium

2001 ◽  
Vol 44 (15) ◽  
pp. 2791-2799 ◽  
Author(s):  
Youn J. Kim
2014 ◽  
Vol 19 (2) ◽  
pp. 303-320 ◽  
Author(s):  
B. Prabhakar Reddy

Abstract The thermal diffusion and viscous dissipation effects on an unsteady MHD free convection heat and mass transfer flow of an incompressible, electrically conducting, fluid past an infinite vertical porous plate embedded in a porous medium of time dependent permeability under oscillatory suction velocity in the presence of a heat absorbing sink have been studied. It is considered that the influence of a uniform magnetic field acts normal to the flow and the permeability of the porous medium fluctuates with time. The dimensionless governing equations for this investigation have been solved numerically by using the efficient Galerkin finite element method. The numerical results obtained have been presented through graphs and tables for the thermal Grashof number (Gr > 0) corresponding to the cooling of the porous plate and (Gr < 0) corresponding to heating of the porous plate to observe the effects of various material parameters encountered in the problem under investigation. Numerical data for skin-friction, Nusselt and Sherwood numbers are tabulated and then discussed.


1970 ◽  
Vol 3 (1) ◽  
pp. 7-14 ◽  
Author(s):  
Md Abdus Samad ◽  
Mohammad Mansur-Rahman

A study of unsteady MHD free convection flow through a porous vertical flat plate immersed in a porous medium in presence of magnetic field with radiation has been analyzed. Introducing a time dependent suction to the plate, a similarity procedure has been adopted by taking a time dependent similarity parameter. In this analysis we consider a Darcy-Forchhemier model and the corresponding momentum and energy equations have been solved numerically, for cooling and heating of the plate by employing Nachtsheim-Swigert iteration technique along with the sixth order Runge-Kutta integration scheme. Non-dimensional velocity and temperature profiles are then presented graphically for different values of the parameter entering into the problem. During the process of numerical computations the skin-friction coefficient (viscous drag) and the rate of heat transfer (Nusselt number), which are of physical interest, are sorted out and presented in the form of tables. Keywords: Thermal radiation, MHD, Unsteady, Suction, Porous medium   DOI: 10.3329/jname.v3i1.924Journal of Naval Architecture and Marine Engineering 3(2006) 7-14


1994 ◽  
Vol 72 (5-6) ◽  
pp. 311-317 ◽  
Author(s):  
Magdy A. Ezzat

The equations of magnetohydrodynamic unsteady two-dimensional free convection flow through a porous medium bounded by an infinite vertical porous plate are cast into matrix form using the state space and Laplace-transform techniques. The results obtained can be used to generate solutions in the Laplace-transform domain to a broad class of problems in magnetohydrodynamic free convection flow. The technique is applied to a heated vertical plate problem and to a problem pertaining to a plate under uniform heating. The inversion of the Laplace-transforms is carried out using a numerical approach. Numerical results for the temperature, velocity, and skin friction distributions are given and illustrated graphically for both problems.


1986 ◽  
Vol 64 (1) ◽  
pp. 84-89 ◽  
Author(s):  
Nabile T. El Dabe

Unsteady, free convection flow of an incompressible electrically conducting viscous liquid through a porous medium past a hot, vertical, porous plate in the presence of a transverse magnetic field has been studied in this paper. The flow phenomena have been characterized by the nondimensional numbers P (Prandtl number), G (Grashoff number), M (magnetic number), W (frequency parameter), and K (permeability parameter). The effect of these parameters on the velocity and temperature distribution, the skin friction, and the heat flux have been tabulated and represented graphically.


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