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Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects

Received: 22 July 2013     Published: 30 August 2013
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Abstract

This paper investigates the study of the effect of thermal conductivity on MHD flow past an infinite vertical plate with Soret and Dufour effects. The governing non-linear Partial Differential Equations are solved numerically by implicit finite difference scheme of Crank-Nicolson. Computations are performed for a wide range of the governing flow parameters such as thermal Grashof number, solutal Grashof number, magnetic field parameter, Prandtl number, Dufour number, Soret number, thermal conductivity and Schmidt number. The effects of these flow parameters on the velocity, temperature and concentration are shown graphically. It is observed that the velocity increases with the increase in Gr, Gc, Du, Ec, k and and it decreases with the increase in M, Sr and b. Temperature decreases with an increase in and Pr and concentration decreases with the increase in Sr and . Finally, the effects of various parameters on the skin friction coefficient, Nusselt number and Sherwood number are shown on Tables.

Published in American Journal of Applied Mathematics (Volume 1, Issue 3)
DOI 10.11648/j.ajam.20130103.11
Page(s) 28-38
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Thermal Conductivity, MHD, Soret and Dufour Effects

References
[1] Abdulraheem, M. A., Mansour, M. A. and Chamkha, A. J., (2011). Effects of Soret and Dufour numbers on free convection over Isothermal and Adiabatic stretching surfaces embedded in porous media. Journal of porous media, DOI: 10, 1615/ Journal Porous Media, 14(1), pp. 67-72.
[2] Adrian P., (2007). Influence of chemical reaction on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects. Heat Mass Transfer, 43: pp. 595-602.
[3] Afif A., (2006). Effects of Thermal diffusion and diffusion Thermo on non-Darcy MHD free convective flow and mass transfer past a vertical isothermal isothermal surface embedded in a porous medium with thermal dispersion and temperature dependent viscosity. Applied Math Model.
[4] Afify, A.A., (2009). Similarity solution in MHD: Effects of thermal-diffusion and diffusion-thermo on free convective heat and mass transfer over a stretching surface considering suction or injection. Communication in Non-Linear Science Numerical Simulation, 14: pp. 2202-2214.
[5] Ajali, D. S. P., and Uma, D. R. (2010). Soret and Dufour effects on MHD slip flow with thermal radiation over a porous rotating infinite disk. Communications in Non Linear Science and Numerical Simulation, 16(4), pp. 1917-1930.
[6] Alam, M. S., and Rahman, M. M., (2006). Dufour and Soret effects on mixed convection flow past a vertical porous plate with variable porous with variable suction. Non-linear Analysis: Modeling and control, 11(10), pp. 3-12.
[7] Alam, M.S., Ferdows, M., Ota, M., and Maleque, M.A. (2006). Dufour and Soret effects on Steady Free Convection and Mass transfer Flow past a semi-infinite Vertical Porous Plate in a Porous Medium. International Journal of Applied Mechanics and Engineering, 11(3), pp.535-545.
[8] Alam, M. S. and Rahman, M. M. (1992). Dufour and Soret effects on MHD free convective and mass transfer flow past a vertical flat plate embedded in a porous medium. Journal of Naval Architecture and Marine Engineering. 2(1): pp. 369-374.
[9] Anghel, M., Takher, H. S. and Pop, I., (2000). Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium. Studia Universitatis Basas-BolyalMathematica, XLV (4), pp. 11-21.
[10] Anwar, B.O., Bakier, A.Y.,and Prasad V.R., (2009). Numerical study of free convection magneto hydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects. Computational Material Science 46, pp. 57-65.
[11] Bejan, A., Dincer, I., Lorente, S., Miguel, A. F. and Reis, A. H. (2004). Porous and Complex Flow Structures in Modern Technologies.Springer. New York, NY.
[12] Bhupendra, K. S., Kailash, Y.Nidhish, K., Mishra, R. C., and Chaudhary, R. C. (2012). Soret and Dufour Effects on Unsteady MHD Mixed Convection Flow past a Radiative Vertical Porous Plate Embedded in a Porous Medium with Chemical Reaction. Applied Mathematics, 3, pp. 717-723 doi: 10.4236/am.
[13] Emmanuel, O, Jonathan, S, .and Robert, H., (2011). Thermal-diffusion and diffusion-thermo effects on combined Heat and Mass transfer of a steady MHD hydro convective and slip flow due to a rotating disk with viscous dissipation and ohmic heating. Global Journal of Science Frontier Research, International Communications in Heat and Mass Transfer, 35: pp. 908-915.
[14] Gbadeyan, J. A., Idowu, A. S., Ogunsola, A. W., Agbola, O. O., and Olanrewaju, P. O. (2011). Heat and Mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a visco elastic fluid in the presence of a magnetic field. Global Journal of Science Frontier Research. 11(8), pp. 97-114.
[15] Hayat, T., Mustafa, M. and Pop, I., (2010). Heat and Mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a visco elastic fluid. Communications in Non Linear Science and Numerical Simulation. 15, pp.1183-1196.
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Cite This Article
  • APA Style

    Halima Usman, Ime Jimmy Uwanta. (2013). Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects. American Journal of Applied Mathematics, 1(3), 28-38. https://doi.org/10.11648/j.ajam.20130103.11

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    ACS Style

    Halima Usman; Ime Jimmy Uwanta. Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects. Am. J. Appl. Math. 2013, 1(3), 28-38. doi: 10.11648/j.ajam.20130103.11

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    AMA Style

    Halima Usman, Ime Jimmy Uwanta. Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects. Am J Appl Math. 2013;1(3):28-38. doi: 10.11648/j.ajam.20130103.11

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  • @article{10.11648/j.ajam.20130103.11,
      author = {Halima Usman and Ime Jimmy Uwanta},
      title = {Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects},
      journal = {American Journal of Applied Mathematics},
      volume = {1},
      number = {3},
      pages = {28-38},
      doi = {10.11648/j.ajam.20130103.11},
      url = {https://doi.org/10.11648/j.ajam.20130103.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130103.11},
      abstract = {This paper investigates the study of the effect of thermal conductivity on MHD flow past an infinite vertical plate with Soret and Dufour effects. The governing non-linear Partial Differential Equations are solved numerically by implicit finite difference scheme of Crank-Nicolson. Computations are performed for a wide range of the governing flow parameters such as thermal Grashof number, solutal Grashof number, magnetic field parameter, Prandtl number, Dufour number, Soret number, thermal conductivity and Schmidt number. The effects of these flow parameters on the velocity, temperature and concentration are shown graphically. It is observed that the velocity increases with the increase in Gr, Gc, Du, Ec, k and and it decreases with the increase in M, Sr and b. Temperature decreases with an increase in   and Pr and concentration decreases with the increase in Sr and  . Finally, the effects of various parameters on the skin friction coefficient, Nusselt number and Sherwood number are shown on Tables.},
     year = {2013}
    }
    

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  • TY  - JOUR
    T1  - Effect of Thermal Conductivity on Mhd Heat and Mass Transfer: Flow Past an Infinite Vertical Plate with Soret and Dufour Effects
    AU  - Halima Usman
    AU  - Ime Jimmy Uwanta
    Y1  - 2013/08/30
    PY  - 2013
    N1  - https://doi.org/10.11648/j.ajam.20130103.11
    DO  - 10.11648/j.ajam.20130103.11
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 28
    EP  - 38
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20130103.11
    AB  - This paper investigates the study of the effect of thermal conductivity on MHD flow past an infinite vertical plate with Soret and Dufour effects. The governing non-linear Partial Differential Equations are solved numerically by implicit finite difference scheme of Crank-Nicolson. Computations are performed for a wide range of the governing flow parameters such as thermal Grashof number, solutal Grashof number, magnetic field parameter, Prandtl number, Dufour number, Soret number, thermal conductivity and Schmidt number. The effects of these flow parameters on the velocity, temperature and concentration are shown graphically. It is observed that the velocity increases with the increase in Gr, Gc, Du, Ec, k and and it decreases with the increase in M, Sr and b. Temperature decreases with an increase in   and Pr and concentration decreases with the increase in Sr and  . Finally, the effects of various parameters on the skin friction coefficient, Nusselt number and Sherwood number are shown on Tables.
    VL  - 1
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

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