Similarity Solutions of the Mhd Boundary Layer Flow Past a Constant Wedge within Porous Media


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Ramesh, B.Kudenatti. and Shreenivas, R.Kirsur. and Achala, L.Nargund. and Bujurke, N.M. and Hang Xu, . (2017) Similarity Solutions of the Mhd Boundary Layer Flow Past a Constant Wedge within Porous Media. Mathematical Problems in Engineering. pp. 1-12. ISSN 1563-5147

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The two-dimensional magnetohydrodynamic flow of a viscous fluid over a constant wedge immersed in a porous medium is studied. The flow is induced by suction/injection and also by the mainstream flow that is assumed to vary in a power-law manner with coordinate distance along the boundary. The governing nonlinear boundary layer equations have been transformed into a third-order nonlinear Falkner-Skan equation through similarity transformations. This equation has been solved analytically for a wide range of parameters involved in the study. Various results for the dimensionless velocity profiles and skin frictions are discussed for the pressure gradient parameter, Hartmann number, permeability parameter, and suction/injection. A far-field asymptotic solution is also obtained which has revealed oscillatory velocity profiles when the flow has an adverse pressure gradient. The results show that, for the positive pressure gradient and mass transfer parameters, the thickness of the boundary layer becomes thin and the flow is directed entirely towards the wedge surface whereas for negative values the solutions have very different characters. Also it is found that MHD effects on the boundary layer are exactly the same as the porous medium in which both reduce the boundary layer thickness.

Item Type: Article
Subjects: Faculty of Science > Pure Sciences > Mathematics
Divisions: Jnana Bharathi / Central College Campus > Department of Mathematics
Depositing User: Mr. Narayanaswamy B V
Date Deposited: 30 Apr 2018 11:23
Last Modified: 30 Apr 2018 11:23

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