Skip to main content
SpringerLink
Log in

Unsteady MHD free-convection flows on a porous plate with time-dependent heating in a rotating medium

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The three-dimensional unsteady free-convection flows of a viscous fluid near a porous infinite vertical plate in a rotating medium in the presence of a constant transverse magnetic field are investigated under an arbitrary time-dependent heating of the plate. By using the Laplace transform technique, the Green function of the problem is determined and exact solutions are obtained for special cases of the impulsive and the accelerated heating effect for an arbitrary Prandtl number. The thermal influence on skin friction at the plate and the displacement thickness of the boundary layers are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Debnath, L.: 1972,Z. Appl. Math. Mech. 52, 623.

    Google Scholar 

  • Debnath, L. and Mukherjee, S.: 1973,Phys. Fluids 16, 1418.

    Google Scholar 

  • Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G.: 1954,Tables of Integral Transforms, Vol. I, McGraw-Hill Book Co., New York.

    Google Scholar 

  • Hide, R. and Roberts, P. H.: 1960,Rev. Mod. Phys. 32, 799.

    Google Scholar 

  • Kulshrestha, P. K. and Puri, P.: 1969,Develop. Mech. 5, 265.

    Google Scholar 

  • Kythe, P. K. and Puri, P.: 1987,Astrophys. Space Sci. 135, 219.

    Google Scholar 

  • Oberhettinger, F. and Badü, L.: 1973,Tables of Laplace Transforms, Springer-Verlag, New York.

    Google Scholar 

  • Puri, P. and Kulshrestha, P. K.: 1976,J. Appl. Trans. ASME 98, 205.

    Google Scholar 

  • Roberts, G. E. and Kaufman, H.: 1966,Tables of Laplace Transforms, W. B. Saunders Co., Philadelphia.

    Google Scholar 

  • Singh, A. K.: 1983,Astrophys. Space Sci. 95, 283.

    Google Scholar 

  • Singh, A. K.: 1984,Astrophys. Space Sci. 103, 155.

    Google Scholar 

  • Singh, M. P. and Sathi, H. L.: 1968,J. Math. Mech. 18, 193.

    Google Scholar 

  • Soundalgekar, V. M. and Pop, I.: 1970,Bull. Math. Soc. Scs. Math. Rep. Social Roumanie 14, 375.

    Google Scholar 

  • Tokis, J. N.: 1986,Astrophys. Space Sci. 119, 305.

    Google Scholar 

  • Tokis, J. N. and Geroyannis, V. S.: 1981,Astrophys. Space Sci. 75, 393.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of New Orleans, New Orleans, LA, USA

    P. K. Kythe & P. Puri

Authors
  1. P. K. Kythe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Puri
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kythe, P.K., Puri, P. Unsteady MHD free-convection flows on a porous plate with time-dependent heating in a rotating medium. Astrophys Space Sci 143, 51–62 (1988). https://doi.org/10.1007/BF00636754

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00636754

Keywords

Search

Navigation