Skip to main content
Log in

Unsteady MHD stagnation-point flow with heat and mass transfer in a micropolar fluid in the presence of thermophoresis and suction/injection

  • Published:
Indian Journal of Pure and Applied Mathematics Aims and scope Submit manuscript

Abstract

The effect of suction or injection on unsteady MHD flow with heat and mass transfer in a micropolar fluid near the forward stagnation point flow with thermophoresis has been investigated. The problem is reduced to a system of non-dimensional partial differential equations, which are solved numerically using the implicit finite-difference scheme. Profiles for velocity, microrotation, temperature and concentration as well as the skin friction, the rate of heat and mass transfer are determined and presented graphically for physical parameters. The results show that the suction increases the skin friction, the rate of heat and mass transfer while opposite trend is observed for the case of injection. It is also found that the effect of thermophoresis is decrease the concentration boundary layer thickness.

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. L. J. Crane, Flow past a stretching plane, Z. Amgew Math Phys., 21 (1970), 645–647.

    Article  Google Scholar 

  2. P. S. Gupta, A. S. Gupta, Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55 (1977), 744–746.

    Article  Google Scholar 

  3. C. K. Chen, M. I. Char, Heat transfer of a continuous stretching surface with suction or blowing, J. Math. Anal. Appl., 135 (1998), 568–580.

    Article  MathSciNet  Google Scholar 

  4. L. J. Grubka, K. M. Bobba, Heat transfer characteristics of a continuous, stretching surface with variable temperature, ASMEJ. Heat Transfer, 107 (1985), 248–250.

    Article  Google Scholar 

  5. M. Katagiri, Unsteady boundary layer near the forward stagnation point with uniform suction or injection, Phy. Soc. Japan, 31 (1971) 935–939.

    Article  Google Scholar 

  6. A. C. Eringen, Theory of micropolar fluids, Math. Mech., 16 (1966), 1–18.

    MathSciNet  Google Scholar 

  7. G. Łukaszewicz: Micropolar fluids: theory and application, Birkhuser Basel (1999).

    Book  MATH  Google Scholar 

  8. T. Ariman, M. A. Turk, N. D. Sylvester, Microcontinuum fluid mechanics-review, Int. J. Eng. Sei., 11 (1973), 905–930.

    Article  MATH  Google Scholar 

  9. T. Ariman, M. A. Turk, N. D. Sylvester, Application of microcontinuum fluid mechanics, Int. J. Eng. Sei., 12 (1974), 273–293.

    Article  MATH  Google Scholar 

  10. N. A. Kelson, A. Desseaux, Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet, Int. J. Eng. Sei., 39 (2001), 1881–1897.

    Article  Google Scholar 

  11. N. A. Kelson, T. W. Farrell, Micropolar flow over a porous stretching sheet with strong suction or injection, Int. Comm. Heat Mass Transfer, 28(4) (2001), 479–488.

    Article  Google Scholar 

  12. K. Hiemenz, Die Grenzschicht an einem in den gleichfrmingen Flssigkeitsstrom eingetauchten geraden Kreiszylinder, Dinglers Polytech. J., 326 (1911) 321–410 (in German).

    Google Scholar 

  13. G. S. Guram, A. C. Smith, Stagnation flows of micropolar fluids with strong and weak interaction, Comput. Math. Appl., 6 (1980), 213–233.

    Article  MATH  MathSciNet  Google Scholar 

  14. R. S. R. Gorla, Micropolar boundary layer at a stagnation point, Int. J. Eng. Sei., 21(7) (1983), 25–34.

    Article  MATH  Google Scholar 

  15. T. R. Mahapatra, A. S. Gupta, Heat transfer in stagnation-point flow towards a stretching sheet, Heat Mass Transfer, 38 (2002), 517–521.

    Article  Google Scholar 

  16. Y. Y. Lok, P. Phang, N. Amin, I. Pop, Unsteady boundary layer flow of a micropolar fluid near the forward stagnation point of a plane surface, Int. J. Eng. Sei., 41 (2003), 173–186.

    Article  MATH  Google Scholar 

  17. H. Xu, S. J. Liao, I. Pop, Series solutions of unsteady boundary layer flow of a micropolar fluid near the forward stagnation point of a plane surface, Acta Mechanica, 184 (2006), 87–101.

    Article  MATH  Google Scholar 

  18. Y. Y. Lok, N. Amin, I. Pop, Unsteady boundary layer flow of a micropolar fluid near a stagnation point with uniform suction or injection, Jurnal Teknologi, 46(C) (2007), 15–32.

    Google Scholar 

  19. L. Kumar, B. Singh, L. Kumar, R. Bhargava, Finite element solution of MHD flow of micropolar fluid towards a stagnation point on a vertical stretching surface, Int. J. of Appl. Math. Mech., 7(3) (2011), 14–30.

    MATH  Google Scholar 

  20. S. L. Goren, Thermophoresis of aerosol particles in the laminar boundary layer on a flat plate, Colloid Interface Sei., 61 (1977), 77–85.

    Article  Google Scholar 

  21. A. J. Chamkha and I. Pop, Effect of thermophoresis particle deposition in free convection boundary layer from a vertical flat plate embedded in a porous medium, Int. Comm. Heat Mass Transfer, 31 (2004), 421–430.

    Article  Google Scholar 

  22. M. A. Seddeek, Finite element method for the effects of chemical reaction, variable viscosity, thermophoresis and heat generation/absorption on a boundary layer hydromagnetic flow with heat and mass transfer over a heat surface, Acta Mechanica, 177 (2005), 1–18.

    Article  MATH  Google Scholar 

  23. M. K. Partha, Suction/injection effects on thermophoresis particle deposition in a non-Darcy porous medium under the influence of Soret, Dufour effects, Int. J. Heat Mass Transfer, 52 (2009), 1971–1979.

    Article  MATH  Google Scholar 

  24. R. Kandasamy, T. Hayat, S. Obaidat, Group theory transformation for Soret and Dufour effects on free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface in the presence of heat source/sink, Nuclear Eng. Design, 241 (2011), 2155–2161.

    Article  Google Scholar 

  25. S. K. Jena, M. N. Mathur, Similarity solution for laminar free convection flow of a thermo-micropolar fluid past a nonisothermal flat plate, Int. J. Eng. Sei., 19 (1981), 1431–1439.

    Article  MATH  Google Scholar 

  26. D. A. S. Rees, A. P. Bassom, The Blasius boundary-layer flow of a micropolar fluid, Int. J. Eng. Sc., 34 (1966), 113–124.

    Article  MathSciNet  Google Scholar 

  27. T. Cebeci, P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York (1988).

    Book  MATH  Google Scholar 

  28. M. Katagiri, Magnetohydrodynamic flow with suction or injection at the forward stagnation point, J. Phy. Soc. Japan, 27(6) (1969), 1677–1685.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Aurangzaib.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Aurangzaib, Shafie, S. Unsteady MHD stagnation-point flow with heat and mass transfer in a micropolar fluid in the presence of thermophoresis and suction/injection. Indian J Pure Appl Math 44, 729–741 (2013). https://doi.org/10.1007/s13226-013-0039-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13226-013-0039-2

Key words

Navigation