Plane Stagnation Double-Diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media

DOI: 10.4236/ajcm.2012.23029   PDF   HTML   XML   3,598 Downloads   5,940 Views   Citations

Abstract

A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear partial differential equations have been reduced to systems of nonlinear ordinary differential equations by the similarity transformations. The transformed equations are solved numerically by using the classical fourth order Runge-Kutta method together with the shooting technique implemented on a computer program. The effects of the physical parameters are examined on the velocity, temperature and concentration profiles. Numerical data for the skin-friction coefficients, Nusselt and Sherwood numbers have been tabulated for various parametric conditions and are also shown graphically and discussed.

Share and Cite:

O. Gideon and S. Abah, "Plane Stagnation Double-Diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media," American Journal of Computational Mathematics, Vol. 2 No. 3, 2012, pp. 223-227. doi: 10.4236/ajcm.2012.23029.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Hiemenz K., The boundary layer on a circular cylinder in uniform flow (in German), Dingl. Polytec. J. 326 (1911), pp. 321-328.
[2] Attia H. A., Hydrodynamic stagnation point flow with heat transfer over a permeable surface, Arabian J. Science & Engineering, 28 (2003), IB, pp. 107-112.
[3] Massoudi, M. and Ramezan, M. "Boundary Layers Heat Transfer Analysis of a Viscoelastic Fluid at a Stagnation Point", Proceedings of the ASME Heat Transfer Division, 130 (1990), pp. 81–86.
[4] Chiam T.C., Magnetohydrodynamic heat transfer over a non-Isothermal stretching sheet, Acta Mecanica, 122 (1997), 1-4, pp. 169-179.
[5] Ariel, P.D., "Hiemenz Flow in Hydromagnetics", Acta Mechanica, 103 (1994), pp. 31–43. doi:10.1007/BF01180216
[6] Chamkha, A.J. "Hydromagnetic Plane and Axisymmetric Flow Near a Stagnation Point with Heat Transfer", Int. Comm. Heat and Mass Transfer, 25(2) (1998), pp. 269–278. doi:10.1016/S0735-1933(98)00014-1
[7] Attia H. A., Hydrodynamic stagnation point flow with heat transfer over a permeable surface, Arabian J. Science & Engineering, 28 (2003), IB, pp. 107-112
[8] Crane L. J. (1970) Flow past a Stretching Plate, J. Applied Math. Phys. (ZAMP), 21:645-647
[9] Vleggaar J (1977). Laminar boundary layer behavior on continuous accelerating surfaces. Chem. Eng. Sci., 32: 1517-1525. doi:10.1016/0009-2509(77)80249-2
[10] Gupta, P. S., Gupta, A. S. Heat and mass transfer on a stret-ching sheet with suction and blowing, Can. J
[11] Soundalgekar VM, Ramana TV (1980). Heat transfer past a continuous moving plate with variable temperature. Warme-Und Stoffuber tragung., 14: 91-93. doi:10.1007/BF01806474
[12] Grubka LJ, Bobba KM (1985). Heat transfer characteristics of a continuous stretching surface with variable temperature. J. Heat Transfer, 107:248-250. doi:10.1115/1.3247387

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.