Advertisement

Meccanica

, Volume 49, Issue 1, pp 69–77 | Cite as

MHD forced convection boundary layer flow with a flat plate and porous substrate

  • Santosh Chaudhary
  • Pradeep Kumar
Article

Abstract

The flow and heat transfer for an electrically conducting fluid with a porous substrate and a flat plate under the influence of magnetic field is considered. The magnetic field is assumed to be uniform and also along normal to the surface. The momentum and energy equations are transformed to ordinary differential equations by using suitable similarity transformation and are solved by standard techniques. But the energy equation is solved by considering two boundary layers, one in the porous substrate and the other above the porous substrate. Numerical results are presented through graphs with various values of magnetic parameter for both velocity and thermal boundary layers along with Nusselt number and for various values of Prandtl number and Eckert number in thermal boundary layer.

Keywords

MHD Forced convection Boundary layer flow Porous substrate 

References

  1. 1.
    Vafai K, Kim S-J (1990) Analysis of surface enhancement by a porous substrate. J Heat Transf 112:700–706 CrossRefGoogle Scholar
  2. 2.
    Huang PC, Vafai K (1994) Analysis of flow and heat transfer over an external boundary covered with a porous substrate. J Heat Transf 116:768–771 CrossRefGoogle Scholar
  3. 3.
    Ochoa-Tapia JA, Whitaker S (1995) Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I. Theoretical development. Int J Heat Mass Transf 38:2635–2646 CrossRefMATHGoogle Scholar
  4. 4.
    Ochoa-Tapia JA, Whitaker S (1995) Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II. Comparison with experiment. Int J Heat Mass Transf 38:2647–2655 CrossRefGoogle Scholar
  5. 5.
    Kuznetsov AV (1997) Influence of the stress jump condition at the porous-medium/clear-fluid interface on a flow at a porous wall. Int Commun Heat Mass Transf 24:401–410 CrossRefGoogle Scholar
  6. 6.
    Kuznetsov AV (1998) Analytical study of fluid flow and heat transfer during forced convection in a composite channel partly filled with a Brinkman-Forchheimer porous medium. Flow Turbul Combustion 60:173–192 CrossRefMATHGoogle Scholar
  7. 7.
    Kuznetsov AV (2000) Analytical studies of forced convection in partly porous configurations. In: Vafai K (ed) Handbook of porous media. Marcel Dekker, New York, pp 269–312 CrossRefGoogle Scholar
  8. 8.
    Nield DA, Kuznetsov AV (2003) Boundary-layer analysis of forced convection with a plate and porous substrate. Acta Mech 166:141–148 CrossRefMATHGoogle Scholar
  9. 9.
    Nield DA, Bejan A (2006) Convection in porous media, 3rd edn. Springer, New York MATHGoogle Scholar
  10. 10.
    Aydm O, Kaya A (2008) Non-Darcian forced convection flow of viscous dissipating fluid over a flat plate embedded in a porous medium. Transp Porous Media 73:173–186 CrossRefGoogle Scholar
  11. 11.
    Mukhopadhyay S, De Prativa R, Bhattacharyya K, Layek GC (2012) Forced convective flow and heat transfer over a porous plate in a Darcy-Forchheimer porous medium in presence of radiation. Meccanica 47:153–161 CrossRefMathSciNetGoogle Scholar
  12. 12.
    Wang CY (2013) Viscous flow in a curved tube filled with a porous medium. Meccanica 48:247–251 CrossRefGoogle Scholar
  13. 13.
    Beavers GS, Joseph DD (1967) Boundary conditions at a naturally permeable wall. J Fum Minist 30:197–207 Google Scholar
  14. 14.
    Cramer KR, Pai SI (1973) Magnetofluiddynamics for engineers and applied physicists. McGraw-Hill, New York Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of MathematicsMalaviya National Institute of TechnologyJaipurIndia

Personalised recommendations