MHD Thermal Diffusion Natural Convection Flow Between Heated Inclined Plates In Porous Medium

M. C. Raju*, S.V.K. Varma**, N. Anandareddy***
* Principal, Annamacharya PG College of Computer Studies, Rajampet A.P., India.
** Department of Mathematics, S.V. University, Tirupati, A.P., India.
*** Department of Mathematics, A.I.T.S., Rajampet, A.P., India.
Periodicity:November - January'2011
DOI : https://doi.org/10.26634/jfet.6.2.1325

Abstract

In this paper, the effect of small uniform magnetic field on separation of a binary mixture in presence of thermo diffusion for the case of fully developed natural convection of a fluid between two heated inclined plates in porous medium is investigated. Neglecting the induced electric field the equations governing the motion, temperature and concentration are solved by simple perturbation technique, in terms of dimensionless parameter measuring buoyancy force. The expressions for velocity, temperature and concentration are obtained. The effects of Hartmann number M, thermal diffusion number td , the constant N which measures the buoyancy force and the angle ? that the plates make with the horizontal are studied on the flow quantities and the results are discussed through graphs.

Keywords

Natural convection,Thermal diffusion,Magnetic field,Incompressible fluid,Binary mixture,Porous medium.

How to Cite this Article?

Raju, M. C., Varma , S. V. K., and Anandareddy, N. (2011). MHD Thermal Diffusion Natural Convection Flow Between Heated Inclined Plates In Porous Medium. i-manager’s Journal on Future Engineering and Technology, 6(2), 45-59. https://doi.org/10.26634/jfet.6.2.1325

References

[1]. Fletcher Osterle, J., and Frederick J. Young (1961). Natural convection between heated vertical plates in a horizontal magnetic field. Journal of Fluid Mechanics, 11, pp.512-518.
[2]. De Groot, S.R., and Mazur, P. (1962). Non-Equilibrium Thermodynamics, North-Holland, Amsterdam.
[3]. Hurle, D.T.J., and E. Jakeman (1971). Soret-driven thermosolutal convection. Journal of Fluid Mechanics, 47, pp.667-687.
[4]. Sarma, G.S.R. (1973). “Barodiffusion in a binary mixture at a rotating disk", Z. Anzew Math. Phys., 24, pp.789-800 (1973).
[5]. Takhar. H.S., and Pop, I. (1987). Free convection from a vertical flat plate to a thermally stratified Darcian flow. Mechanics Research Communications. 14(2), pp.81-86.
[6]. Tewari, K., and Singh, P. (1992). “Natural convection in a thermally stratified fluid saturated porous medium”, Int. J. Eng. Sci., 30 (8), 1003-1007.
[7]. Rees, O.A.S., and Lage, J.L. (1997). “The effect of thermal stratification on natural convection in a vertical porous insulation layer”, Int. J. Heat Mass Transfer, 40(1), p.111-121.
[8]. Angirasa, D., and Peterson, G.P. (1997). “Natural convection heat transform from an isothermal vertical surface to a fluid saturated thermally stratified porous medium”, Int. J. Heat Mass Transfer,14(8), 4329-4335.
[9]. Nield, D.A., and Bejan, A. (1999). Convection in nd porous media, II ed., Springer, New York.
[10]. Rathis Kumar, B.V., and Singh, P. (2003). “Effect of thermal stratification on free convection in a fluid saturated porous enclosure”, Numer. Heat Transfer-A34, 343-356.
[11]. Bejan, A., Kraus, A.D. (Eds) (2003). Heat Transfer hand book, Wiley, New York.
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
USD EUR INR USD-ROW
Online 15 15

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.