Skip to main content
Log in

Steady hydromagnetic flow of a non-Newtonian power law fluid due to a rotating porous disk with heat transfer

  • Photochemistry and Magnetochemistry
  • Published:
Russian Journal of Physical Chemistry A Aims and scope Submit manuscript

Abstract

The steady magnetohydrodynamic (MHD) flow of an incompressible viscous non-Newtonian power law fluid above an infinite rotating porous disk with heat transfer is studied. A uniform magnetic field is applied perpendicularly to the plane of the disk and a uniform injection or suction is applied through the surface of the disk. Numerical solutions of the nonlinear differential equations which govern the hydromagnetic and heat transfer are obtained. The effects of characteristics of the non-Newtonian fluid, the magnetic field parameter and the suction or injection velocity on the velocity and temperature distributions are considered.

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. T. von Karman, ZAMM 1(4), 233 (1921).

    Article  Google Scholar 

  2. W. G. Cochran, Proc. Cambridge Philos. Soc. 30(3), 365 (1934).

    Article  Google Scholar 

  3. E. R. Benton, J. Fluid Mechan. 24(4), 781 (1966).

    Article  Google Scholar 

  4. K. Millsaps and K. Pohlhausen, J. Aeronautical Sci. 19, 120 (1952).

    Google Scholar 

  5. E. M. Sparrow and J. L. Gregg, ASME J. Heat Transfer., p. 294 (1960).

  6. H. A. Attia, Fluid Dynam. Res. 23, 283 (1998).

    Article  Google Scholar 

  7. K. G. Mithal, Quart. J. Mech. Appl. Math. 14, 401 (1961).

    Article  Google Scholar 

  8. P. Mitschka, Coll. Czech. Chem. Comm. 29, 2892 (1964).

    CAS  Google Scholar 

  9. P. Mitschka and J. Ulbreche, Coll. Czech. Chem. Comm. 30, 2511 (1965).

    CAS  Google Scholar 

  10. H. I. Andersson, K. H. Bech, and B. S. Dandapat, Int. J. Non-Linear Mech. 27, 929 (1992).

    Article  Google Scholar 

  11. D. S. Djukic, AIChE J. 19, 1159 (1973).

    Article  CAS  Google Scholar 

  12. D. S. Djukic, ASME J. Appl. Mech. 41, 822 (1974).

    Article  Google Scholar 

  13. T. Sarpkaya, AIChE J. 7, 324 (1961).

    Article  CAS  Google Scholar 

  14. H. I. Andersson, E. Korte de, and R. Meland, Fluid Dynam. Res. 28, 75 (2001).

    Article  Google Scholar 

  15. H. I. Andersson and E. Korte de, Eur. J. Mech., Ser. B 21, 317 (2002).

    Article  Google Scholar 

  16. M. Batista, Appl. Math. Modelling 35, 5225 (2011).

    Article  Google Scholar 

  17. M. Turkyilmazoglu, Int. J. Non-Linear Mechan. 46, 1042 (2011).

    Article  Google Scholar 

  18. A. Nazir and T. Mahmood, Appl. Math. Modelling 35, 3154 (2011).

    Article  Google Scholar 

  19. N. Bachok, A. Ishak, and I. Pop, Phys., Ser, B 406, 1767 (2011).

    CAS  Google Scholar 

  20. S. P. Anjali Devi and R. Uma Devi, Com. Nonlinear Sci. Num. Simulation 16, 1917 (2011).

    Article  Google Scholar 

  21. C. Ming, L. Zheng, and X. Zhang, Int. Com. Heat Mass Transfer. 38, 280 (2011).

    Article  Google Scholar 

  22. H. A. Attia, Com. Nonlinear Sci. Num. Simulation 13, 1571 (2008).

    Article  Google Scholar 

  23. B. Sahoo, Com. Nonlinear Sci. Num. Simulation 14, 2982 (2009).

    Article  Google Scholar 

  24. E. Osalusi, J. Side, R. Harris, and B. Johnston, Int. Com. Heat Mass Transfer. 34, 1030 (2007).

    Article  CAS  Google Scholar 

  25. M. Turkyilmazoglu, Int. J. Non Linear Mechan. 46, 306 (2011).

    Article  Google Scholar 

  26. G. W. Sutton and A. Sherman, Engineering Magnetohydrodynamics (McGraw-Hill, New York, 1965).

    Google Scholar 

  27. W. F. Ames, Numerical Methods in Partial Differential Equations, 2nd ed. (Academic Press, New York, 1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hazem Ali Attia.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Attia, H.A., Ewis, K.M., Elmaksoud, I.H.A. et al. Steady hydromagnetic flow of a non-Newtonian power law fluid due to a rotating porous disk with heat transfer. Russ. J. Phys. Chem. 86, 2063–2070 (2012). https://doi.org/10.1134/S0036024412130110

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0036024412130110

Keywords

Navigation