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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018024591
pages 459-477

HEAT AND MASS TRANSFER ON UNSTEADY, MAGNETOHYDRODYNAMIC, OSCILLATORY FLOW OF SECOND-GRADE FLUID THROUGH A POROUS MEDIUM BETWEEN TWO VERTICAL PLATES, UNDER THE INFLUENCE OF FLUCTUATING HEAT SOURCE/SINK, AND CHEMICAL REACTION

M. Veera Krishna
Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh - 518007, India
Kamboji Jyothi
Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh-518007, India
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021

RÉSUMÉ

We consider the unsteady, magnetohydrodynamic, oscillatory flow of an incompressible, electrically conducting, second-grade fluid through a saturated, porous medium between two vertical plates that are under the influence of a uniform, transverse, magnetic field normal to the plates, with heat source and chemical reaction. One plate of the vertical channel is kept stationary, whereas the other is oscillating with uniform velocity; the two plates are subjected to constant injection and suction velocities, respectively. The flow through the porous medium is governed by the equation for Brinkman's model for momentum. The closed-form solutions of the governing equations are obtained for velocity, temperature, and concentration profiles, with use of the perturbation technique. The effects of various governing parameters on these three profiles are computationally discussed and graphically presented. Skin friction, Nusselt number, and Sherwood number are obtained analytically, and their behaviors are computationally discussed.


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