Acta Mechanica

, Volume 106, Issue 3–4, pp 215–220 | Cite as

Conjugate MHD flow past a flat plate

  • I. Pop
  • M. Kumari
  • G. Nath


A boundary layer solution for the conjugate forced convection flow of an electrically conducting fluid over a semi-infinite flat plate in the presence of a transverse magnetic field is presented. The governing nonsimilar partial differential equations are solved numerically using the Keller box method. Values of the temperature profiles of the plate are obtained for various values of the parameters entering the problem and are given in a table and shown on graphs.


Magnetic Field Differential Equation Convection Boundary Layer Dynamical System 
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  1. [1]
    Hartmann, I.: Hg-Dynamics, I. Theory of laminar flow of an electrically conductive liquid in a homogeneous magnetic field. Kgl. Danske Videnskabernes Selskab, Math. Fys. Medd.15 (1937).Google Scholar
  2. [2]
    Rossow, V. J.: On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field. NACA TN 3971 (1957).Google Scholar
  3. [3]
    Davidson, J. H., Kulacki, F. A., Dun, P. F.: Convective heat transfer with electric and magnetic fields. In: Handbook of single-phase convective heat transfer (Kakac, S., Shah, R. K., Aung, W., eds.), pp. 9.1–9.49. New York: Wiley 1987.Google Scholar
  4. [4]
    Martynenko, O. G., Sokovishin, Yu. A.: Buoyancy-induced heat transfer on a vertical nonisothermal surface. In: Heat transfer reviews, vol. 1. Convective heat transfer (Martynenko, O. G., Zukauskas, A. A., eds.), pp. 211–451. Washington: Hemisphere 1989.Google Scholar
  5. [5]
    Keller, H. B., Cebeci, T.: Accurate numerical methods for boundary layer flows. I: Two dimensional laminar flows. Lecture Notes Phys.8, 92–100 (1970).Google Scholar
  6. [6]
    Hunt, R., Wilks, G.: Continuous transformation computation of boundary-layer equations between similarity regimes. J. Comp. Phys.40, 478–490 (1981).Google Scholar
  7. [7]
    Watanabe, I.: Magnetohydrodynamic stability of boundary layer along a flat plate with pressure gradient. Acta Mech.65, 41–50 (1986).Google Scholar
  8. [8]
    Pop, I., Ingham, D. B.: A note on conjugate forced convection boundary-layer flow past a flat plate. Int. J. Heat Mass Transfer (in press).Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • I. Pop
    • 1
  • M. Kumari
    • 2
  • G. Nath
    • 2
  1. 1.Faculty of MathematicsUniversity of ClujClujRomania
  2. 2.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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