Applied Mathematics and Physics
ISSN (Print): 2333-4878 ISSN (Online): 2333-4886 Website: http://www.sciepub.com/journal/amp Editor-in-chief: Vishwa Nath Maurya
Open Access
Journal Browser
Go
Applied Mathematics and Physics. 2013, 1(2), 11-26
DOI: 10.12691/amp-1-2-1
Open AccessArticle

Effects of Hall Current and Thermal Radiation on an Unsteady Free Convection Slip Flow along a Vertical Plate Embedded in a Porous Medium with Constant Heat and Mass Flux

D. Chaudhary1, H. Singh1 and N.C. Jain1,

1Department of Mathematics, University of Rajasthan, Jaipur, India

Pub. Date: May 06, 2013

Cite this paper:
D. Chaudhary, H. Singh and N.C. Jain. Effects of Hall Current and Thermal Radiation on an Unsteady Free Convection Slip Flow along a Vertical Plate Embedded in a Porous Medium with Constant Heat and Mass Flux. Applied Mathematics and Physics. 2013; 1(2):11-26. doi: 10.12691/amp-1-2-1

Abstract

The present investigation is made to study the effects of Hall current, thermal radiation and other parameters on an unsteady free convection flow of an incompressible, viscous fluid through a porous medium in a rotating system. The plate moves with a constant velocity U0 in its own plane. A perturbation technique is used to obtain the solutions of velocity, temperature and concentration. Expressions for skin friction, Nusselt number and Sherwood number are also derived. It is observed that as we increase the hall parameter (m), rises. Also increase in radiation tends the Nusselt number to rise.

Keywords:
hall current heat flux mass flux porous medium rotation unsteady

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

Figures

Figure of 11

References:

[1]  Sivaiah, M., Nagarajan, A.S. and Reddy, P.S., Heat and mass transfer effects on MHD free convective flow past a vertical porous plate. The ICFAI University J. of computational Mathematics II (2), 14-21, 2009.
 
[2]  Das, K. and Jana, S., Heat and mass transfer effects on unsteady MHD free convection flow near a moving vertical plate in a porous medium. Bull. Sco. Math. 17, 15-32, 2010.
 
[3]  Chaudhary, R.C. and Jain, A., combined heat and mass transfer effects on MHD free convection flow past oscillating plate embedded in aporous medium. Rom. J. Phys. 52 (5-7), 505-524, 2007.
 
[4]  Aboeldahabn, E. M and Ebarbary, Elsayed, M. E., Hall current effect on Magnetohydrodynamic free convection flow past a semi infinite vertical plate with mass transfer. Int. J. of Eng. Sci. 39 (14), 1641-1652, 2001.
 
[5]  Shit, G.C., Halll effects on MHD free convection flow and mass transfer over a stretching sheet. Int. J. of Appl. Math. And Mech. 5 (8), 22-38, 2009.
 
[6]  Abuga, J.G., Kinyanjui, M. and Sigey, J.K., An investigation of the effect of Hall currents and rotational parameter on dissipative fluid flow past a vertical semi-infinite plate. J. of Engi. And Tech. Research, 3 (11), 314-320, 2011.
 
[7]  Shateyi, S., Motsa, S.S. and Sibands, P., The effects of thermal radiation, Hall currents, secret and Dufour on MHD flow by mixed convection over a vertical surface in porous media. Math. Prob. Engi. 20.
 
[8]  Saha, L.K., Hossain, M.A. and Gorla, Rama Subba Reddy, Effect of Hall current on MHD laminar natural convectin flow from a vertical permeable flat plate with uniform surface temperature. Int. J. of Thermal Sci., 46 (8), 790 – 801, 2007.
 
[9]  Mbeledogu, I.U. and Ogulu, A., Heat and mass transfer of an unsteady MHD natural convection flow of a rotating fluid past a vertical porous flat plate in the presence of radiative heat transfer. Int. J. Heat and mass transfer, 50, 1902-1908, 2007.
 
[10]  Zhukovsky, K., Modeling of the current limitations of PEFC. AIChE Journal, 52(7), 2356-2366, 2006.
 
[11]  Acharya, M., Dash, G.C. and Singh, L.P., Magnetic field effects on the free convection and mass transfer flow through a porous medium with constant suction and constant heat flux. Ind. J. Pure, Appl. Math. 31, 1-18, 2000.
 
[12]  Rajesh, V. and Varma, S.V.K., Heat source effects on MHD flow past an exponentially accelerated vertical plate with variable temperature through a porous medium. Int. J. of Appl. Math & Mech., 6 (12), 68-78, 2010.
 
[13]  Farhad, A., Norzeiha, M., Sharidan, S., Khan, I. and Samiulhaq, Hydromagnetic rotating flow in a porous medium with slip conditions and Hall current. Int. J. of Physical Sci., 7 (10), 1540-1548, 2012.
 
[14]  Sharma, B.K., Jha, A.K. and Chaudhary, R.C., Hall Effect on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate immersed is a porous medium with heat source/sink. Rom. J. Phys. 52 (5-7), 487-503, 2007.
 
[15]  Abbas, Z. and Asghar, S., Effect of Hall current and heat transfer on the flow in a porous medium with slip conditions. J. of porous media, 10 (1), 35-50, 2007.
 
[16]  Jain, N.C. and Gupta; P., Hall effects on unsteady free convection slip flow in a rotating fluid along a porous vertical surface bounded by a porous medium. Int. J. of Appl. Mech. And Eng. 12 (3), 609-627, 2007.
 
[17]  Jain, N.C., and Singh H., Hall and thermal radiation effects on an unsteady rotating free convection slip flow along a porous vertical moving plate. Int. J. of Appl. Mech. And Eng. 17 (1), 53-70, 2012.
 
[18]  Shereliff, J.A., A text book of magnetohydrodynamic-1st ed. London -: Pergamon Press, 1965.
 
[19]  England, W.G. and Emery, A.F., Thermal radiation Effects on the laminar free convection boundary layer of an absorbing on the laminar free convection boundary layer of an absorbing gas. J. Heat Transf. 91, 37-44, 1969.