Two-Dimensional Flow in a Deformable Channel with Porous Medium and Variable Magnetic Field
1
International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
2
Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(4), 674-684; https://doi.org/10.3390/mca15040674
Published: 1 December 2010
Abstract
This article is concerned with the analytic solution for a nonlinear flow problem of an incompressible viscous fluid. The fluid is taken in a channel having two weakly permeable moving porous walls. An incompressible fluid fills the porous space inside the channel. The fluid is magnetohydrodynamic in the presence of a time-dependent magnetic field. Lie group method is applied in the derivation of analytic solution. The effects of the magnetic field, porous medium, permeation Reynolds number and wall dilation rate on the axial velocity are shown and discussed.
Keywords:
Porous medium; variable magnetic field; deformable channel
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MDPI and ACS Style
Matebese, B.T.; Adem, A.R.; Khalique, C.M.; Hayat, T. Two-Dimensional Flow in a Deformable Channel with Porous Medium and Variable Magnetic Field. Math. Comput. Appl. 2010, 15, 674-684. https://doi.org/10.3390/mca15040674
AMA Style
Matebese BT, Adem AR, Khalique CM, Hayat T. Two-Dimensional Flow in a Deformable Channel with Porous Medium and Variable Magnetic Field. Mathematical and Computational Applications. 2010; 15(4):674-684. https://doi.org/10.3390/mca15040674
Chicago/Turabian StyleMatebese, B. T., A. R. Adem, C. M. Khalique, and T. Hayat. 2010. "Two-Dimensional Flow in a Deformable Channel with Porous Medium and Variable Magnetic Field" Mathematical and Computational Applications 15, no. 4: 674-684. https://doi.org/10.3390/mca15040674
