Thermal radiation effects on hydromagnetic flow

  • Mohamed M. Abdelkhalek Atomic Energy Authority, Nuclear Research Centre

Abstract

Numerical results are presented for the effects of thermal radiation, buoyancy and heat generation or absorption on hydromagnetic flow over an accelerating permeable surface. These results are obtained by solving the coupled nonlinear partial differential equations describing the conservation of mass, momentum and energy by a perturbation technique. This qualitatively agrees with the expectations, since the magnetic field exerts a retarding force on the free convection flow. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, Prandtl number, Grashof number and Schmidt number on the profiles of the velocity components and temperature. The effects of the different parameters on the velocity and temperature profiles as well as the skin friction and wall heat transfer are presented graphically. Favorable comparisons with previously published work confirm the correctness of numerical results.

Keywords

heat and mass transfer, hydromagnetic flow, perturbation technique,

References

[1] J .A. Shercliff. A text book of Magnetohydrodynamic. Pergamon Press, 1965.
[2] P.C. Ram, S.S. Singh, R.K. Jain. Heat and mass transfer of a viscous heat generating fluid with Hall currents. AstroPhys. Space Sci., 168: 209, 1990.
[3] B.K. Jha, R. Prasad. MHD free convection and mass transfer flow through a porous medium with heat source. AstroPhys. Space Sci., 181(1): 117, 1991.
[4] H.S. Takhar, P.C. Ram, E.J.D. Garba, J .K. Bitok. Hydromagnetic convective flow of heat generating fluid past a vertical plate with Hall current and heat flux through a porous medium. J. MHD Plasma Res., 5(2/ 3): 185, 1995.
[5] D.P. Georgiou, G.A. Georgantopoulos. Mass transfer effects on the transient behaviour of the asymptotic laminar boundary layer, AstroPhys. Space Sci., 125: 391, 1986.
Published
Aug 18, 2022
How to Cite
ABDELKHALEK, Mohamed M.. Thermal radiation effects on hydromagnetic flow. Computer Assisted Methods in Engineering and Science, [S.l.], v. 14, n. 3, p. 471-484, aug. 2022. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/817>. Date accessed: 22 nov. 2024.
Section
Articles