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Effect of variations in viscosity and thermal diffusivity on MHD heat and mass transfer flow over a porous inclined radiate plane

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Abstract

This article is focused on the effectiveness of variable viscosity and variable thermal diffusivity on steady MHD heat and mass transfer flow over a semi-infinite porous inclined plate in the presence of thermal radiation and thermophoresis. The governing fundamental equations are transferred into a system of nonlinear similar ordinary differential equations, which are solved numerically by using Chebyshev pseudospectral method. Favorable comparisons with previously published work are performed and the results are found to be in very good agreement. Numerical results for the dimensionless velocity, temperature and concentration profiles as well as for the skin-friction coefficient, wall heat transfer and particle deposition rate are obtained and displayed graphically for pertinent physical parameters to show interesting aspects of the solutions.

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References

  1. P. Goldsmith, F.G. May, Diffusiophoresis and thermophoresis in water vapour systems, in Aerosol Science, edited by C.N. Davies (Academic Press, London, 1966) pp. 163–194.

  2. S.L. Goren, J. Colloid Interface Sci. 61, 77 (1977).

    Article  Google Scholar 

  3. C. Shen, J. Colloid Interface Sci. 127, 104 (1989).

    Article  Google Scholar 

  4. M.A. Hossain, H.S. Takhar, Int. J. Heat Mass Transfer 31, 243 (1996).

    Article  ADS  Google Scholar 

  5. M.A. Hossain, M.A. Alim, D.A.S. Rees, Int. J. Heat Mass Transfer 42, 181 (1999).

    Article  MATH  Google Scholar 

  6. H.M. Duwairi, R.A. Damseh, Int. J. Heat Mass Transfer 40, 787 (2004).

    Article  ADS  Google Scholar 

  7. H.M. Duwairi, R.A. Damseh, Can. J. Chem. Eng. 82, 1 (2004).

    Article  Google Scholar 

  8. I.U. Mbeledogu, A. Ogulu, Int. J. Heat Mass Transfer 50, 1902 (2007).

    Article  MATH  Google Scholar 

  9. M.M. Rahman, M.A. Sattar, Int. J. Appl. Mech. Eng. 12, 497 (2007).

    MathSciNet  Google Scholar 

  10. M.S. Alam, M.M. Rahman, M.A. Sattar, Int. J. Therm. Sci. 47, 758 (2008).

    Article  Google Scholar 

  11. M.S. Alam, M.M. Rahman, M.A. Sattar, Commun. Nonlinear Sci. Numer. Simulat. 14, 2132 (2009).

    Article  ADS  Google Scholar 

  12. P.R. Sharma, G. Singh, Meccanica 45, 237 (2010).

    Article  MathSciNet  Google Scholar 

  13. I.A. Hassanien, Z. Angew. Math. Mech. 79, 786 (1999).

    Article  MATH  Google Scholar 

  14. E.M.E. Elbarbary, N.S. Elgazery, Int. Commun. Heat Mass Transfer 31, 409 (2004).

    Article  Google Scholar 

  15. E.M.E. Elbarbary, N.S. Elgazery, Int. J. Therm. Sci. 43, 889 (2004).

    Article  Google Scholar 

  16. E.M.E. Elbarbary, N.S. Elgazery, Acta Mech. 176, 213 (2005).

    Article  MATH  Google Scholar 

  17. M.A. Seddeek, A.M. Salem, Comput. Mech. 39, 401 (2007).

    Article  MATH  Google Scholar 

  18. A. Selim, M.A. Hossain, D.A.S. Rees, Int. J. Therm. Sci. 42, 973 (2003).

    Article  Google Scholar 

  19. J.C. Slattery, Momentum, Energy and Mass Transfer in Continua (McGraw-Hill, New York, 1972).

  20. L. Talbot, R.K. Cheng, A.W. Schefer, D.R. Wills, J. Fluid Mech. 101, 737 (1980).

    Article  ADS  Google Scholar 

  21. G.K. Batchelor, C. Shen, J. Colloid Interface Sci. 107, 21 (1985).

    Article  Google Scholar 

  22. F. White, Viscous Fluid Flow, first edition (McGraw-Hill, New York, 1974).

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Correspondence to M. F. El-Sayed.

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El-Sayed, M.F., Elgazery, N.S. Effect of variations in viscosity and thermal diffusivity on MHD heat and mass transfer flow over a porous inclined radiate plane. Eur. Phys. J. Plus 126, 124 (2011). https://doi.org/10.1140/epjp/i2011-11124-7

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  • DOI: https://doi.org/10.1140/epjp/i2011-11124-7

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