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多孔介质期刊
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多孔介质期刊

DOI: 10.1615/JPorMedia.v15.i7.80
pages 697-704

MHD COUETTE FLOWS OF SECOND GRADE FLUID IN A POROUS SPACE

Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Chaudry Masood Khalique
Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North West University, Mmabatho 2735, South Africa
Ahmed Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box. 80257, Jeddah 21589, Saudi Arabia

ABSTRACT

This study investigates the influence of partial slip on the flows of second grade fluid bounded by the two rigid plates. An incompressible and magnetohydrodynamic second grade fluid occupies the porous space. Modeling of the flow analysis includes the modified Darcy's law. Two characteristic examples, flows induced by an oscillating plate and a suddenly moving plate, are considered. The exact analytical solutions are derived by employing Fourier transform and eigen-function expansion methods. It is noted that the results of previous studies can be obtained as the limiting cases of our solutions.


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