Skip to main content
Log in

MHD free convective flow through porous medium in the presence of hall current, radiation and thermal diffusion

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

Abstract

An unsteady free convective flow through porous media of viscous, incompressible, electrically conducting fluid through a vertical porous channel with thermal radiation is studied. A magnetic field of uniform strength is applied perpendicular to the vertical channel. The magnetic Reynolds number is assumed very small so that the induced magnetic field effect is negligible. The injection and suction velocity at both plates is constant and is given by v 0. The pressure gradient in the channel varies periodically with time along the axis of the channel. The temperature difference of the plates is high enough to induce the radiative heat. Taking Hall current and Soret effect into account, equations of motion, energy, and concentration are solved. The effects of the various parameters, entering into the problem, on velocity, temperature and concentration field are shown graphically.

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. K. D. Alogoa, G. Tay and T. M. Abbey, Radiative and free convective effects of MHD flow through a porous medium between infinite parallel plates with time-dependent suction, Astrophy. & Space Sei., 260 (1999), 455–468.

    Article  Google Scholar 

  2. A. C. Cogley, W. G. Vincenti and S. E. Gilles, Differential approximation for radiative transfer in a non-gray fluid near equilibrium, American Institute of Aeronautics and Astronautics, 6 (1968), 551–553

    Article  Google Scholar 

  3. E. R. G. Eckert and D. M. Drake, Analysis of Heat and Mass Transfer, McGraw Hill Co., New York (1972).

    MATH  Google Scholar 

  4. C. B. Gupta, Effects of hall current on the oscillatory MHD flow past a flat plate, Indian J. Pure Appl. Math., 50(6) (1984), 583–589.

    MATH  Google Scholar 

  5. R. Kumar, Thermo diffusion and radiative heat effects on unsteady oscillatory mixed convection MHD flow through a planer channel filled with porous medium, Int. J. Physical and Mathematical Sciences, 3(4) (2012), 3124–3133.

    Google Scholar 

  6. A. Manglesh, M. G. Gorla and K. Chand, Soret and Hall Effect on Heat and Mass Transfer in MHD Free Convective Flow through a Porous Medium in a Vertical Porous Channel, Accepted in Proc. Nat. Acad. Sei., India (2013).

    Google Scholar 

  7. R. C. Meyer, On reducing aerodynamic heat transfer rates by MHD techniques, Aero/Space Sei., 25 (1958), 561–563.

    Article  MATH  Google Scholar 

  8. M. C. Raju, S. V. K. Verma, P. V. Reddy and S. Saha, Soret effect due to natural convection between heated inclined plates with magnetic field, 2008. Mech. Engng., 39 (2008), 65–70.

    Google Scholar 

  9. M. G. Reddy and N. B. Reddy, Soret and Dufour effects on steady MHD free convection flow past a semi-infinite moving vertical plate in a porous medium with viscous dissipation, Int. J. Appl. Math and Mech., 6(1) (2010), 1–12.

    Google Scholar 

  10. A. K. Singh, MHD free convective flow in stokes problem for a porous vertical plate, Astrophys Space Sei., 87 (1982), 455–461.

    Article  Google Scholar 

  11. K. D. Singh, K. Chand and S. Sharma, Hydromagnetic oscillatory flow of dusty fluid in rotating porous channel, IJMA, 3(6) (2012), 2331–2339.

    Google Scholar 

  12. K. D. Singh and B. P. Garg, Exact solution of an oscillatory heat and mass transfer mixed convection flow in a rotating channel with heat source/sink and Soret effect, Proc. Nat. Acad. Sei. India, 80(4) (2010), 347–356.

    Google Scholar 

  13. K. D. Singh and R. Kumar, Combine effects of hall current and rotation on free convection MHD flow in a porous channel, Indian J. Pure and Appl. Phys., 47 (2009) 617–623.

    Google Scholar 

  14. K. D. Singh and R. Kumar, Soret and hall current effects on heat and mass transfer in MHD flow of a viscous fluid through porous medium with variable suction, Proc. Nat. Acad. Sei. India, 73(3) (2009), 119–126.

    MathSciNet  Google Scholar 

  15. K. D. Singh and R. Pathak, An analysis of an oscillatory rotating MHD Poiseuille flow with injection/suction and hall current, Proc. Nat. Acad. Sei. India, 76(4) (2010), 201–207.

    Google Scholar 

  16. K. D. Singh and R. Pathak, Effects of rotation and hall current on mixed convection, MHD flow through a porous medium filled in a vertical channel in presence of thermal radiation, Indian J. Pure and Appl. Phys., 50 (2012), 77–85.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Aarti Manglesh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Manglesh, A., Gorla, M.G. MHD free convective flow through porous medium in the presence of hall current, radiation and thermal diffusion. Indian J Pure Appl Math 44, 743–756 (2013). https://doi.org/10.1007/s13226-013-0040-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13226-013-0040-9

Key words

Navigation