Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (10): 1247-1262.doi: https://doi.org/10.1007/s10483-013-1742-8

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Effect of double dispersion on non-Darcy mixed convective flow over vertical surface embedded in porous medium

 A. A. AFIFY1, N. S. ELGAZERY2   

  1. 1. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt;
    2. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11234, Egypt
  • 收稿日期:2012-10-01 修回日期:2013-03-20 出版日期:2013-09-29 发布日期:2013-09-29

Effect of double dispersion on non-Darcy mixed convective flow over vertical surface embedded in porous medium

 A. A. AFIFY1, N. S. ELGAZERY2   

  1. 1. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt;
    2. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11234, Egypt
  • Received:2012-10-01 Revised:2013-03-20 Online:2013-09-29 Published:2013-09-29

摘要: A numerical study of a non-Darcy mixed convective heat and mass transfer flow over a vertical surface embedded in a porous medium under the effects of double dispersion, melting, and thermal radiation is investigated. The set of governing boundary layer equations and the boundary conditions is transformed into a set of coupled nonlinear ordinary differential equations with the relevant boundary conditions. The transformed equations are solved numerically by using the Chebyshev pseudospectral method. Comparisons of the present results with the existing results in the literature are made, and good agreement is found. Numerical results for the velocity, temperature, concentration profiles, and local Nusselt and Sherwood numbers are discussed for various values of physical parameters.

关键词: double dispersion, mixed convection, non-Darcy flow, porous medium, melting, thermal radiation, Chebyshev pseudospectral method

Abstract: A numerical study of a non-Darcy mixed convective heat and mass transfer flow over a vertical surface embedded in a porous medium under the effects of double dispersion, melting, and thermal radiation is investigated. The set of governing boundary layer equations and the boundary conditions is transformed into a set of coupled nonlinear ordinary differential equations with the relevant boundary conditions. The transformed equations are solved numerically by using the Chebyshev pseudospectral method. Comparisons of the present results with the existing results in the literature are made, and good agreement is found. Numerical results for the velocity, temperature, concentration profiles, and local Nusselt and Sherwood numbers are discussed for various values of physical parameters.

Key words: null, mixed convection, non-Darcy flow, porous medium, double dispersion, melting, thermal radiation, Chebyshev pseudospectral method

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