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Journal of Engineering Physics and Thermophysics

, Volume 84, Issue 6, pp 1369–1378 | Cite as

Radiation and thermal diffusion effects on an unsteady MHD free convection mass-transfer flow past an infinite vertical porous plate with the hall current and a heat source

  • B. Prabhakar Reddy
  • J. Anand Rao
Article
  • 131 Downloads

An analysis is performed to study the effects of radiation and thermal diffusion on an unsteady MHD free convection heat- and mass-transfer flow of an incompressible, electrically conducting, viscous fluid past an infinite vertical porous plate with the Hall current and a heat source. The flow is considered under the influence of a constant suction velocity and a uniform magnetic field applied normally to the flow. The dimensionless governing equations are solved numerically by the Galerkin finite element method. The effects of the flow parameters on the primary and secondary velocities, temperature, species concentration, shearing stresses, Nusselt number, and Sherwood number are calculated and presented in figures and tables. The results obtained show that a decrease in the temperature boundary layer thickness occurs when the Prandtl number and radiation parameter are increased and an increase in the Schmidt number leads to a decrease in the concentration boundary layer thickness.

Keywords

mass transfer MHD Hall current suction velocity heat source Galerkin finite element method 

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References

  1. 1.
    E. M. Aboeldahab and E. M. E. Elbarbary, Hall current effect on magneto-hydrodynamics free convection flow past a semi-infinite vertical plate with mass transfer, Int. J. Eng. Sci., 39, 1641–1652 (2001).CrossRefGoogle Scholar
  2. 2.
    Md. Abdus Sattar and Md. Abdul Maleque, Unsteady MHD natural convection flow along an accelerated porous plate with Hall current and mass transfer in a rotating porous medium, J. Energy Heat Mass Transfer, 22, 67–72 (2000).Google Scholar
  3. 3.
    Kh. Abdul Maleque and Md. Abdus Sattar, The effects of variable properties and Hall current on steady MHD laminar convective fluid flow due to a porous rotating disk, Int. J. Heat Mass Transfer, 48, 4963–4972 (2005).zbMATHCrossRefGoogle Scholar
  4. 4.
    H. L. Agrawal, P. C. Ram, and V. Singh, Effects of Hall currents on the hydro-magnetic free convection with mass transfer in a rotating fluid, Astrophys. Space Sci., 100, 279–283 (1984).zbMATHCrossRefGoogle Scholar
  5. 5.
    A. J. Chamkha, Thermal radiation and buoyancy effects on hydro-magnetic flow over an accelerating permeable surface with heat source or sink, Int. J. Eng. Sci., 38, 1699–1712 (2000).zbMATHCrossRefGoogle Scholar
  6. 6.
    A. J. Chamkha, Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption, Int. J. Eng. Sci., 42, 217–230 (2004).zbMATHCrossRefGoogle Scholar
  7. 7.
    P. Ganesan and P. Loganathan, Radiation and mass transfer effects on flow of an incompressible viscous fluid past a moving cylinder, Int. J. Heat Mass Transfer, 45, 4281–4288 (2002).zbMATHCrossRefGoogle Scholar
  8. 8.
    F. S. Ibrahim, I. A. Hassanien, and A. A. Bakr, Unsteady magneto-hydrodynamic micro-polar fluid flow and heat transfer over a vertical porous medium in the presence of thermal and mass diffusion with constant heat source, Can. J. Phys., 82, 775–790 (2004).CrossRefGoogle Scholar
  9. 9.
    Md. Mahmud Alam and Md. Abdus Sattar, Unsteady MHD free convection and mass transfer flow in a rotating system with Hall current, viscous dissipation and Joule heating, J. Energy Heat Mass Transfer, 22, 31–39 (2000).Google Scholar
  10. 10.
    I. U. Mbeledogu and A. Ogulu, 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 Mass Transfer, 50, 1902–1908 (2007).zbMATHCrossRefGoogle Scholar
  11. 11.
    V. Ramachandra Prasad and N. Bhaskar Reddy, Radiation and mass transfer effects on an unsteady MHD convection flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with viscous dissipation, Indian J. Pure Appl. Phys., 46, 81–92 (2008).Google Scholar
  12. 12.
    M. A. Sattar, Unsteady hydromagnetic free convection flow with Hall current, mass transfer and variable suction through a porous medium near an infinite vertical porous plate with constant heat flux, Int. J. Energy Res., 17, 1–5 (1930).CrossRefGoogle Scholar
  13. 13.
    B. Shanker, B. Prabhakar Reddy, and J. Anand Rao, Radiation and mass transfer effects on unsteady MHD free convective fluid flow embedded in a porous medium with heat generation/absorption, Indian J. Pure Appl. Phys., 48, 157–165 (2010).Google Scholar
  14. 14.
    M. A. Seddek, Thermal radiation and buoyancy effects on MHD free convection heat generation flow over an accelerating permeable surface with temperature dependent viscosity, Can. J. Phys., 79, 725–732 (2001).CrossRefGoogle Scholar
  15. 15.
    A. K. Singh, MHD free convection and mass transfer flow with Hall current, viscous dissipation, Joule heating and thermal diffusion, Indian J. Pure Appl. Phys., 41, 24–35 (2003).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Department of Mathematics (PG), AV PG CentreHyderabadIndia
  2. 2.Department of MathematicsUniversity College of Science, Osmania UniversityHyderabadIndia

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