Convective heat and mass transfer in a non-Newtonian-flow formation in Couette motion in magnetohydrodynamics with time-varing suction

Abstract

An analysis is carried out to study the effect of heat and mass transfer on a non-Newtonian-fluid between two infinite parallel walls, one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time- dependent wall suction is assumed to occur at permeable surface. The governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and are solved numerically by using the shooting technique with fourth order Runge-Kutta integration scheme. The effect of non-Newtonian parameter, magnetic pressure parameter, Schmidt number, Grashof number and modified Grashof number on velocity, temperature, concentration and the induced magnetic field are discussed. Numerical results are given and illustrated graphically for the considered Problem.

Keywords

Dates

  • Submission Date2009-11-20
  • Revision Date2009-11-29
  • Acceptance Date2010-02-14

DOI Reference

10.2298/TSCI091120049S

References

  1. K.R. Cramer. J. Aerospace Sci. 26, 121(1959)..
  2. P. D. Verma and J.L.Bansal. Proc. Indian Acad.Sci. 64,385(1966).
  3. P. Ramamoorty. J. Aerospace Sci.29, 111(1962).
  4. R. K. Rathy. Z. Angew. Math. Mech. 43,370(1963).
  5. J. B. Shukla. J. Phys. Soc. Jpn. 17,393(1962).
  6. M. Katagiri J.Phys. Soc. Jpn. 17,393(1962).
  7. N. T. Eldabe and A. A. Hassan. Can. J. Phys.69,75(1991).
  8. P. K. Muhuri. J. Phys.Soc. Jpn.18,1671(1963)
  9. N. T. Eldabe Can. J. Phys. 64,1(1986).
  10. M. I. Char J. Math. Anal. Appl. 186(1994).
  11. E. M. A. Elbashbeshy, Int. J. Eng. Sci. 34(1997).
  12. A. J. Chamkha and A.R.A. Khaled, heat Mass Transfer. 37(2001)
  13. N. T. Eldabe, A. G. El-Sakka and Ashraf Fouda, Z. Naturforsch. 58a, 601(2002).
  14. N. T. Eldabe, M. F. El-Sayed, A. Y. Gahly and H. M. Sayed, Arch Appl. Mech 78, 599(2008).
  15. A. J. Chamkha, Int. J. of Enj. Sci.e, 42, 217 (2004).
  16. M. A. Seddeek and F. A. Salama, Computational Materials Science, 40(2), 186(2007).
  17. A. M. Salem, J. of the Korean Physical Society,48(3), (2006).
  18. O. Anwar Beg, Joaquin Zueco and H. S. Takhar, Commun Nonlinear Sci Numer Simulat, 14,1082(2009).
  19. K.Walters. Second-order effect in elasticity, plasticity and fluid dynamics. Pergamon Press Ltd., Oxford. 507 (1964)
  20. R. Kant. Indian j. Pure Appl. Math. 11(4), 468(1980).
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