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多孔介质期刊
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ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v14.i3.50
pages 253-264

EFFECT OF COUPLE STRESSES ON A PULSATILE MHD BIVISCOSITY FLUID FLOWWITH HEAT AND MASS TRANSFER THROUGH A NON-DARCY POROUS MEDIUM BETWEEN TWO PERMEABLE PARALLEL PLATES

Ahmed A. A. Hassan
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis Cairo, Egypt
Abeer A. E. Mohammed
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis Cairo, Egypt

ABSTRACT

The Runge-Kutta-Merson method and Newton iteration in the shooting and matching technique were used to obtain the solution of the system of the nonlinear ordinary differential equations. These equations describe the two-dimensional magneto-hydrodynamic pulsatile flow of a non-Newtonian fluid obeying the biviscosity model type with heat and mass transfer through a non-Darcy porous medium between two permeable parallel plates. Accordingly, the solutions of momentum, magnetic field, energy, and concentration equations were obtained. The numerical formula of the velocity, the magnetic field, the temperature, and the concentration distributions of the problem were illustrated graphically. The effects of some parameters of the problem, such as couple stress parameter a, Reynolds number Re, upper limit of apparent viscosity coefficient β, permeability parameter K, Forchheimer number Fs, magnetic-field parameter M, Prandtle number Pr, Eckert number Ec, Schmidt number Sc, Soret number Sr, and magnetic Prandtle number Rm on the flow phenomena are numerically discussed.


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