The effects of MHD on free-convection flow past a semi-infinite isothermal inclined plate

  • G. Palani
  • Kwang-Yong Kim

An analysis of the effects of MHD on a two-dimensional free-convective flow of a viscous incompressible fluid past a semi-infinite isothermal inclined plate is carried out. The effects of viscous dissipation and the induced magnetic field are assumed to be negligible. A more accurate, unconditionally stable, and fast converging implicit finite difference scheme is used to solve the dimensionless governing equations. The effects of MHD on velocity, temperature, local and average skin friction, and local and average Nusselt number are studied. It is observed that the magnetic field parameter has a retarding effect on the velocity.


Nusselt Number Natural Convection Heat Mass Transfer Local Nusselt Number Average Nusselt Number 
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  1. 1.
    J. D. Hellums and S. W. Churchill, Transient and steady state, free and natural convection, numerical solutions. Part 1. The isothermal vertical plate, AIChE J., 8, 90–92 (1962).CrossRefGoogle Scholar
  2. 2.
    V. M. Soundalgekar and P. Ganesan, Finite difference analysis of transient free convection on an isothermal vertical flat plate, Regional J., Energy Heat Mass Transfer, 13, 219–224 (1981).Google Scholar
  3. 3.
    W. T. Kierkus, An analysis of laminar free convection flow and heat transfer about an inclined isothermal plate, Int. J. Heat Mass Transfer, 11, 241–253 (1968).CrossRefGoogle Scholar
  4. 4.
    L. Pera and B. Gebhart, Natural convection boundary layer flow over horizontal and slightly inclined surfaces, Int. J. Heat Mass Transfer, 16, 1131–1146 (1973).CrossRefGoogle Scholar
  5. 5.
    T. S. Chen, H. C. Tien, and B. F. Armaly, Natural convection on horizontal, inclined and vertical plates with variable surface temperature or heat flux, Int. J. Heat Mass Transfer, 29, 1465–1478 (1986).MATHCrossRefGoogle Scholar
  6. 6.
    P. Ganesan and K. Ekambavannan, Numerical solution of unsteady natural convection on isothermal inclined plate, Indian J. of Technol., 30, 471–476 (1992).MATHGoogle Scholar
  7. 7.
    G. D. Callahan and W. J. Marner, Transient free convection with mass transfer on an isothermal vertical flat plate, Int. J. Heat Mass Transfer, 19, 165–174 (1976).MATHCrossRefGoogle Scholar
  8. 8.
    V. M. Soundalgekar, S. K. Gupta, and R. N. Arnake, Free convection effects on MHD Stokes problem for a vertical plate, Nucl. Eng. Des., 51, 403–407 (1979).CrossRefGoogle Scholar
  9. 9.
    Nirmal C. Sacheti, Pallath Chandran, and A. K. Singh, An exact solution for unsteady magnetohydrodynamic free convection flow with constant heat flux, Int. Commun. Heat Mass Transfer, 21, 131–142 (1994).CrossRefGoogle Scholar
  10. 10.
    E. M. A. Elbashbeshy, Heat and mass transfer along a vertical plate with variable surface tension and concentration in the presence of the magnetic field, Int. J. Eng. Sci., 34, No. 5, 515–522 (1997).CrossRefGoogle Scholar
  11. 11.
    P. Ganesan and G. Palani, Numerical solution of unsteady MHD flow past semi-infinite isothermal vertical plate, Proc. 17th National & 6th ISHMT/ASME Heat & Mass Transfer Conf., Kalpakkam, India (2004), pp. 184–188.Google Scholar
  12. 12.
    B. Carnahan, H. A. Luther, and J. O. Wilkes, Applied Numerical Methods, John Wiley and Sons, New York (1969).MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringInha UniversityIncheonRepublic of Korea

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