Skip to main content
SpringerLink
Log in

The Investigation of Thermal and Solutal Secondary Effects on MHD Convective Transfer Past a Vertical Surface in a Porous Medium

  • Research Article - Mechanical Engineering
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

In the current study, the effects of Soret and Dufour numbers on the mixed MHD flow over a vertical plate embedded in a porous medium in the presence of first-order chemical reactions are studied. The partial differential equations of continuity, momentum, energy and concentration are converted to the ordinary differential equations by the similarity method. Moreover, a convective boundary condition, which is more appropriate for the industrial application of the MHD flows, is utilized to solve the governing equations. The equations are solved by the shooting iterative technique with a sixth-order Runge–Kutta integration algorithm. The velocity, temperature and concentration profiles are illustrated for different physical parameters. The results show that the values of the velocity, temperature and mass concentration of the fluid increase by increasing the Biot, Soret and Dufour numbers. Furthermore, the effects of magnetic parameter, Biot number, Soret and Dufour numbers on the skin-friction coefficient, Nusselt number and Sherwood number are depicted.

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

  1. Soundalgekar V.M., Takhar H.S.: MHD oscillatory flow past a semi-infinite plate. AIAA J. 15, 457–458 (1977)

    Article  Google Scholar 

  2. Ram P.C., Takhar H.S.: Unsteady MHD flow with a suspension of spherical particles through achannel. Int. J. Non-Linear Mech. 29, 775–780 (1994)

    Article  MATH  Google Scholar 

  3. Soundalgekar V.M., Patil M.R., Takhar H.S.: MHD flow past a vertical oscillating plate. Nucl. Eng. Des. 64, 43–48 (1981)

    Article  Google Scholar 

  4. Chen C.H.: Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation. Int. J. Eng. Sci. 42, 699–713 (2004)

    Article  MATH  Google Scholar 

  5. Singh A.K., Singh A.K., Singh N.P.: Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity. Indian J. Pure Appl. Math. 34, 429–442 (2003)

    MATH  Google Scholar 

  6. Aydin O., Kaya A.: MHD mixed convection of a viscous dissipating fluid about a permeable vertical flat plate. Appl. Math. Model. 33, 4086–4096 (2009)

    Article  MATH  Google Scholar 

  7. Raptis A., Kafoussias N.: Heat transfer in flow through a porous medium bounded by an infinite vertical plane under the action of magnetic field. Energy Res. 6, 241–245 (1982)

    Article  Google Scholar 

  8. Chamkha A.J., Khaled A.-R.A.: Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid saturated porous medium. Int. J. Numer. Methods Heat Fluid Flow 10, 455–477 (2000)

    Article  MATH  Google Scholar 

  9. Ferdows M., Ota M., Sattar A., Alam M.: Similarity solution for MHD flow through vertical porous plate with suction. J. Comput. Appl. Mech. 6, 15–25 (2005)

    MATH  Google Scholar 

  10. Pal D., Mondal H.: Radiation effects on combined convection over a vertical flat plate embedded in a porous medium of variable porosity. Meccanica 44, 133–144 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  11. Pal D., Mondal H.: Effect of variable viscosity on MHD non-Darcy mixed convective heat transfer over a stretching sheet embedded in a porous medium with non-uniform heat source/sink. Commun. Nonlinear Sci. Numer. Simul. 15, 1553–1564 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  12. Rajeswari R., Jothiram B., Nelson V.K.: Chemical reaction, heat and mass transfer on nonlinear MHD boundary layer flow through a vertical porous surface in the presence of suction. Appl. Math. Sci. 50, 2469–2480 (2009)

    MathSciNet  Google Scholar 

  13. Bég O.A., Ghosh S.K.: Analytical study of magneto hydrodynamic radiation–convection with surface temperature oscillation and secondary flow effects. Int. J. Appl. Math. Mech. 6(6), 1–22 (2010)

    Google Scholar 

  14. Alam M.S., Rahman M.M., Samad M.A.: Numerical study of the combined free-forced convection and mass transfer flow past a vertical porous plate in a porous medium with heat generation and thermal diffusion. Nonlinear Anal. Model. Control 11, 331–343 (2006)

    MATH  Google Scholar 

  15. Mansour M.A., El-Anssary N.F., Aly A.M.: Effects of chemical reaction and thermal stratification on MHD free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers. Chem. Eng. J. 145, 340–345 (2008)

    Article  Google Scholar 

  16. Pal D., Mondal H.: Effects of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet. Commun. Nonlinear Sci. Numer. Simul. 16, 1942–1958 (2011)

    Article  Google Scholar 

  17. Pal D., Mondal H.: MHD non-Darcy mixed convective diffusion of species over a stretching sheet embedded in a porous medium with non-uniform heat source/sink, variable viscosity and Soret effect. Commun. Nonlinear Sci. Numer. Simul. 17, 672–684 (2012)

    Article  MathSciNet  Google Scholar 

  18. Makinde O.D., Aziz A.: MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int. J. Thermal Sci. 49, 1813–1820 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

    S. Zafariyan, A. Fanaee & A. Mohammadzadeh

Authors
  1. S. Zafariyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Fanaee
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Mohammadzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Zafariyan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zafariyan, S., Fanaee, A. & Mohammadzadeh, A. The Investigation of Thermal and Solutal Secondary Effects on MHD Convective Transfer Past a Vertical Surface in a Porous Medium. Arab J Sci Eng 38, 3211–3220 (2013). https://doi.org/10.1007/s13369-012-0453-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-012-0453-5

Keywords

Search

Navigation