Skip to main content
Log in

Heat transfer in MHD flow with pressure gradient, suction and injection

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Summary

Numerical solutions to the MHD Falkner-Skan equation and the corresponding heat transfer equation have been obtained on taking into consideration the effects of suction and injection and the pressure gradient parameter β. Velocity and temperature profiles are shown on graphs and the numerical values of the skin friction and the rate of heat transfer are given in the form of tables. It has been observed that an increase inN m (magnetic field parameter) leads to an increase in velocity, skin friction, rate of heat transfer and a fall in temperature. Also an increase in suction leads to a fall in the value of the skin friction and the rate of heat transfer, opposite to the case of injection.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Jul. Hartmann,Hg-dynamics I — Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field,Kgl. Danske Videnskabernes Selskab, Mathematisk — Fysiske Meddelelser, Vol. 15, No. 6, Copenhagen, 1937.

  2. Jul. Hartmann and L. Freimut,Hg-dynamics II — Experimental investigations on the flow of mercury in a homogeneous magnetic field,Kgl. Danske Videnskabernes Selskab, Mathematisk — Fysiske Meddelelser, Vol. 15, No. 7, Copenhagen, 1937.

  3. V. J. Rossow, On flow of electrically conducting fluids over a flat plate in the presence of a transverse magnetic field,NACA Technical Note 3971 (1957).

  4. J. A.Shercliff, Steady motion of conducting fluids in pipes under transverse magnetic fields,Proc. Cambridge Phil. Soc. 49 (1953) 136–144.

    Google Scholar 

  5. P. S. Lykoudis, On a class of magnetic laminar boundary layers,Proceedings of the Heat Transfer and Fluid Mechanics Institute (1959) 176–184.

  6. S. I. Pai,Viscous flow theory, Vol. I, Laminar Flow, New York (1956).

  7. G. W.Sutton and A.Sherman,Engineering magnetohydrodynamics, McGraw-Hill Book Company, New York (1965).

    Google Scholar 

  8. W. F.Hughes and F. J.Young,The electromagnetodynamics of fluids, John Wiley and Sons, Inc., New York (1966).

    Google Scholar 

  9. M H.Cobble, Magnetofluiddynamic flow with a pressure gradient and fluid injection,J. of Engineering Mathematics 11 (1977) 249–256.

    Google Scholar 

  10. J. P.Hartnett and E. R. G.Eckert, Mass-transfer cooling in a laminar boundary layer with constant fluid properties,Trans. ASME 79 (1957) 247–254.

    Google Scholar 

  11. Hermann Schlichting,Boundary layer theory, McGraw-Hill Series in Mechanical Engineering, New York (1968).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soundalgekar, V.M., Murty, T.V.R. Heat transfer in MHD flow with pressure gradient, suction and injection. J Eng Math 14, 155–159 (1980). https://doi.org/10.1007/BF00037624

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00037624

Keywords

Navigation