Skip to main content
SpringerLink
Log in

Effect of radiation and chemical reaction on natural convective MHD flow through a porous medium with double diffusion

  • Published:
Journal of Engineering Thermophysics Aims and scope

Abstract

The influence of radiation and chemical reaction on a natural convective MHD flow through a porous medium bounded by a vertical infinite surface in the presence of transverse magnetic field is studied. The basic equations governing the flow, heat and mass transfer are reduced to a set of ordinary differential equations by appropriate transformations. Governing equations are solved by perturbation technique for velocity, temperature and concentration, and that has been presented graphically for different values of involved parameters. It is observed that effects of magnetic parameter and radiation parameter in the flow field affect the flow significantly.

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. England, W.G. and Emery, A.F., Thermal Radiation Effects of an Optically Thin Gray Gas Bounded by a Stationary Vertical Plate, J. Heat Trans., 1969, vol. 91, pp. 37–44.

    Article  Google Scholar 

  2. Soundalgekar, V.M. and Takhar, H.S., Radioactive Free Convective Flow of an Optically Thin Gray-Gas past a Semi-Infinite Vertical Plate, Model. Meas. Contr. B5, 1993, pp. 131–40.

    Google Scholar 

  3. Muthucumaraswamy, R. and Janakiraman, Radiation Effects on Moving Isothermal Vertical Plate with Variable Mass Diffusion, Theor. Appl.Mech., 2006, vol. 33, no. 1, pp. 17–29.

    Article  ADS  MATH  Google Scholar 

  4. Rajesh, V. and Varma, S.V.K., Radiation and Mass Transfer Effects on MHD Free Convection Flow past an Exponentially Accelerated Vertical Plate with Variable Temperature, ARPN J. Eng. Appl. Sci., 2009, vol. 4, no. 6, pp. 20–26.

    Google Scholar 

  5. Rajesh, V. and Varma, S.V.K., Radiation Effects on MHD Flow through a Porous Medium with Variable Temperature or VariableMass Diffusion, IJAMM, 2010, vol. 6, no. 1, pp. 39–57.

    Google Scholar 

  6. Ibrahim, F.S., Elaiw, A.M., and Bakar, A.A., Effect of the Chemical Reaction and Radiation Absorption on the Unsteady MHD Free Convection Flow past a Semi-Infinite Vertical Permeable Moving Plate with Heat Source and Suction, Comm. Nonlin. Sci. Num. Simul., 2008, vol. 13, pp. 1056–1066.

    Article  ADS  MATH  Google Scholar 

  7. Shateyi, S., Thermal Radiation and Buoyancy Effects on Heat and Mass Transfer over a Semi-Infinite Stretching Surface with Suction and Blowing, J. Appl. Math., 2008, article ID414830, p. 12.

    Google Scholar 

  8. Shateyi, S. and Motsa, S.S., Thermal Radiation Effects on Heat and Mass Transfer over an Unsteady Stretching Surface, Math. Probl. Eng., 2009, article ID 965603, p. 13

    Google Scholar 

  9. Hayat, T. and Qasim, M., Influence of Thermal Radiation and Joule Heating on MHD Flow of a Maxwell Fluid in the Presence of Thermophoresis, Int. J. Heat Mass Transfer, 2010.

    Google Scholar 

  10. Cortell, R., Suction, Viscous Dissipation and Thermal Radiation Effects on the Flow and Heat Transfer of a Power-Law Fluid past an Infinite Porous Plate, Chem. Eng. Res. Des., 2010.

    Google Scholar 

  11. Muthucumaraswamy, R., Effects of Chemical Reaction on a Vertical Oscillating Plate with Variable Temperature, Chem. Ind. Chem. Eng. Q, 2010, vol. 16, no. 2, pp. 167–173.

    Article  Google Scholar 

  12. Kishore, P.M., Rajesh, V., and Varma, S.V.K., Effects of Thermal Radiation and Viscous Dissipation MHD Heat and Mass Diffusion Flow past a Surface Embedded in a Porous Medium, IJAMM, 2010, vol. 6, no. 11, pp. 79–97.

    Google Scholar 

  13. Mahmoud, M.A.A., A Note on Variable Viscosity and Chemical Reaction Effect on Mixed Convection Heat and Mass Transfer along a Semi-Infinite Vertical Plate, Math. Probl. Eng., 2007, article ID 41323.

    Google Scholar 

  14. Al-odat, M.Q. and Al-Azab, T.A., Influence of Chemical Reaction on Transient MHD Free Convection over a Moving Vertical Plate, Emirates J. Eng. Res., 2007, vol. 12, no. 3, pp. 15–21.

    Google Scholar 

  15. Chaudhary, R.C. and Jha, A.K., Effect of Chemical Reaction on MHD Micropolar Fluid Flow past a Vertical Plate in Slip-Flow Regime, Appl. Math. Mech., 2008, vol. 29, no. 9, pp. 1179–1194.

    Article  MATH  Google Scholar 

  16. Parida, S.K, Acharya, M., Dash, G.C., and Panda, S., MHD Heat and Mass Transfer in a Rotating System with Periodic Suction, Arab J. Sci. Eng., 2011, vol. 36, pp. 1139–1151.

    Article  Google Scholar 

  17. Pal, D. and Talukdar, B., Perturbation Analysis of Unsteady Magnetohydrodynamic Convective Heat and Mass Transfer in a Boundary Layer Slip Flow past a Vertical Permeable Plate with Thermal Radiation and Chemical Reaction, Comm. Nonlin. Sci. Num. Simul., 2009, corrected proof, available online July 17, 2009.

    Google Scholar 

  18. Sudheer Babu, M. and Satya Narayan, P.V., Effects of Chemical Reaction and Mass Transfer on MHD Unsteady Free Convection Flow past a Semi-Infinite Vertical Plate with Constant/Variable Suction and Heat Sink, J. Heat Mass Transfer, 2009, vol. 3, pp. 219–234.

    MATH  Google Scholar 

  19. Ahmed, S., A Study of Induced Magnetic Field with Chemically Reacting and Radiating Fluid past a Vertical Permeable Plate, J. Eng. Phys. Thermophys., 2011, vol. 84, no. 6, pp. 1360–1368.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Krupajal Engineering College, Bhubaneswar, India

    B. R. Rout

  2. Department of Mathematics, Institute of Technical Education and Research, S’O’A University, Bhubaneswar, 751030, India

    S. K. Parida

  3. Department of Mathematics, Sailabala Women’s College, Cuttack, India

    H. B. Pattanayak

Authors
  1. B. R. Rout
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. K. Parida
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. B. Pattanayak
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B. R. Rout.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rout, B.R., Parida, S.K. & Pattanayak, H.B. Effect of radiation and chemical reaction on natural convective MHD flow through a porous medium with double diffusion. J. Engin. Thermophys. 23, 53–65 (2014). https://doi.org/10.1134/S181023281401007X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S181023281401007X

Keywords

Search

Navigation