Effects of Some Flow Parameters on Unsteady MHD Fluid Flow Past a Moving Vertical Plate Embedded in Porous Medium in the Presence of Hall Current and Rotating System

Main Article Content

M. O. Durojaye
K. A. Jamiu
F. O. Ogunfiditimi

Abstract

This paper is on the numerical study of the effects of some flow parameters like Hall current, rotation, thermal diffusion (Soret) and diffusion thermo (Dufour) on unsteady magnetohydrodynamic natural convective heat and mass transfer of a viscous, rotating, electrically conducting and incompressible fluid flow past an impulsively moving vertical plate embedded in porous medium. The fundamental governing dimensionless coupled boundary layer partial differential equations are solved by the method of lines (MOL). Computations are then performed to determine the effects of the governing flow parameters. The results show that an increase in Soret number, Dufour number and Hall current parameter, causes an increase in the primary and secondary velocities of the fluid flow. As rotating parameter increases, the primary velocity of the flow decreases. Similarly, as Dufour and Soret numbers increase, the temperature and concentration profiles of the fluid flow increase. The effects of the flow parameters on primary and secondary velocity, temperature and concentration fields for externally cooling of the plate are shown graphically.

Keywords:
MHD flow, hall current, rotating system, method of lines (MOL)

Article Details

How to Cite
Durojaye, M. O., Jamiu, K. A., & Ogunfiditimi, F. O. (2020). Effects of Some Flow Parameters on Unsteady MHD Fluid Flow Past a Moving Vertical Plate Embedded in Porous Medium in the Presence of Hall Current and Rotating System. Asian Research Journal of Mathematics, 16(6), 15-29. https://doi.org/10.9734/arjom/2020/v16i630193
Section
Original Research Article

References

Bejan A. Convection heat transfer. 2nd Ed. NY: Wiley; 1993.

Yih KA. The effect of transpiration on coupled heat and mass transfer in mixed convection over a vertical plate embedded in a saturated porous medium. Int Commun Heat Mass Transfer. 1997;24: 265–75.

Chamkha AJ, Takhar HS, Soundalgekar VM. Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer. Chem Eng J. 2001;84:335–42.

Ganesan P, Palani G. Natural convection effects on impulsively started inclined plate with heat and mass transfer. Heat Mass Transfer. 2003;39:277–83.

Chen CH. Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation. Int J Eng Sci. 2004;42:699–713.

Ibrahim FS, Hassanien IA, Bakr AA. Unsteady magnetohydrodynamic micropolar fluid flow and heat transfer over a vertical porous plate through a porous medium in the presence of thermal and mass diffusion with a constant heat source. Can J Phys. 2004;82:775–90.

Edwin Hall. On a new action of the magnet on electric currents. American Journal of Mathematics. 1879;2(3):287–92. DOI: 10.2307/2369245.JSTOR2369245. (Archived from the Original on 2011-07-27) (Retrieved 2008-02-28)

Cramer KR, Pai SI. Magneto fluid dynamics for engineers and applied physicists. McGraw Hill Book Company, New York; 1973.

Jithender Reddy G, Srinivasa Raju R, Manideep P, Anand Rao J. Thermal diffusion and diffusion thermo effects on unsteady MHD fluid flow past a moving vertical plate embedded in porous medium in the presence of Hall current and rotating system. Journal of Computational Design and Engineering. 2016;3:349-362.

Sparrow EM, Cess RD. Radiation heat transfer. Brooks/Cole, Belmont, Calif.; 1966.

Biazar J, Nomidi N. Solution of the Emdem-Fowler equation by the method of lines. Journal of Nature Science and Sustainable Technology. 2013;7(2):45-55.

Schiesser WE. The numerical method of lines- integration of partial differential equations. Academic Press, San Diego; 1991.

Knapp R. A method of lines framework in Mathematica. Journal of Numerical Analysis, Industrial and Applied Mathematics. 2008;3(1):43-59.

Chung TJ. Computational fluid dynamics. Cambridge University Press. 2002;6-11.