Astrophysics and Space Science

, Volume 175, Issue 1, pp 135–147 | Cite as

Unsteady hydromagnetic flow through a porous medium between two infinite parallel porous plates with time-varying suction

  • I. A. Hassanien
Article

Abstract

Unsteady two-dimensional flow of a viscous incompressible and electrical-conducting fluid through a porous medium bounded by two infinite parallel plates under the action of a transverse magnetic field is presented when there is time-varying suction at the plates. The lower plate is at rest while the upper plate is oscillating in its own plane about a constant mean velocity. Expressions for the velocity, fluctuating parts of the velocity, amplitude, and phase of the skin-friction are obtained. The flow phenomenon has been characterized by the parametersK (permeability of the porous medium),N(magnetic parameter) ω(frequency parameter), andA(variable suction parameter) and the role of these parameters on the flow characteristics has been studied.

Keywords

Magnetic Field Permeability Porous Medium Flow Characteristic Parallel Plate 
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References

  1. Ahmadi, G. and Manvi, R.: 1971,Indian J. Technol. 9, 441.Google Scholar
  2. Gulab, R. and Mishra, R. S.: 1977,Indian J. Pure Appl. Math. 8, 637.Google Scholar
  3. Ishgaki, H.: 1971,J. Fluid Mech. 50, 657.Google Scholar
  4. Kumar, K., Gupta, P. C., and Varshney, C. L.: 1985,Indian, J. Theor. Phys. 33, 101.Google Scholar
  5. Lighthill, M. J.: 1954,Proc. Roy. Soc. London A 224, 1.Google Scholar
  6. Shercliff, J. A.: 1965,A Textbook of Magnetohydrodynamics, Pergamon Press, Oxford.Google Scholar
  7. Soundalgekar, V. M.: 1973a,Proc. Roy. Soc. London A 333, 25.Google Scholar
  8. Soundalgekar, V. M.: 1973b,Proc. Roy. Soc. London A 333, 37.Google Scholar
  9. Stuart, J. T.: 1955,Proc. Roy. Soc. London A 231, 116.Google Scholar
  10. Vajravelu, K.: 1988,J. Appl. Mech. 55, 981.Google Scholar
  11. Vajravelu, K. and Sastri, K. S.: 1977,Proc. Roy. Soc. London A 353, 221.Google Scholar
  12. Vajravelu, K. and Sastri, K. S.: 1978a,Acta Mech A 31, 71.Google Scholar
  13. Vajravelu, K. and Sastri, K. S.: 1978b,Acta Mech A, 31, 89.Google Scholar
  14. Varshney, C. L.: 1979,Indian J. Pure Appl. Math. 10, 1558.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • I. A. Hassanien
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceAssiut, UniversityAssiutEgypt

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