Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (6): 675-684.doi: https://doi.org/10.1007/s10483-010-1302-9

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Influence of chemical reaction on heat and mass transfer of non-Newtonian fluid with yield stress by free convection from vertical surface in porous medium considering Soret effect

 F.S.IBRAHIM1, F.M.HADY1, S.M.ABDEL-GAIED2, M.R.EID2   

  1. 1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt;
    2. Department of Science and Mathematics, Faculty of Education,Assiut University, The New Valley 72111, Egypt
  • 收稿日期:2009-04-30 修回日期:2010-01-13 出版日期:2010-06-01 发布日期:2010-06-01

Influence of chemical reaction on heat and mass transfer of non-Newtonian fluid with yield stress by free convection from vertical surface in porous medium considering Soret effect

 F.S.IBRAHIM1, F.M.HADY1, S.M.ABDEL-GAIED2, M.R.EID2   

  1. 1. Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt;
    2. Department of Science and Mathematics, Faculty of Education,Assiut University, The New Valley 72111, Egypt
  • Received:2009-04-30 Revised:2010-01-13 Online:2010-06-01 Published:2010-06-01

摘要: The effect of chemical reaction on free convection heat and mass transfer for a non-Newtonian power law fluid over a vertical flat plate embedded in a fluid-saturated porous medium has been studied in the presence of the yield stress and the Soret effect. The governing boundary layer equations and boundary conditions are cast into a dimensionless form by similarity transformations, and the resulting system of equations is solved by a finite difference method. The results are presented and discussed for concentration profiles, as well as the Nusselt number and the Sherwood number for various values of the parameters, which govern the problem. The results obtained show that the flow field is influenced appreciably by the presence of the chemical reaction parameter γ, the order of the chemical reaction parameter m, the Soret number Sr, the buoyancy ratio N, the Lewis number Le, and the dimensionless rheological parameter Ω.

关键词: non-Newtonian fluid, free convection, chemical reaction, yield stress, Soret effect

Abstract: The effect of chemical reaction on free convection heat and mass transfer for a non-Newtonian power law fluid over a vertical flat plate embedded in a fluid-saturated porous medium has been studied in the presence of the yield stress and the Soret effect. The governing boundary layer equations and boundary conditions are cast into a dimensionless form by similarity transformations, and the resulting system of equations is solved by a finite difference method. The results are presented and discussed for concentration profiles, as well as the Nusselt number and the Sherwood number for various values of the parameters, which govern the problem. The results obtained show that the flow field is influenced appreciably by the presence of the chemical reaction parameter γ, the order of the chemical reaction parameter m, the Soret number Sr, the buoyancy ratio N, the Lewis number Le, and the dimensionless rheological parameter Ω.

Key words: non-Newtonian fluid, free convection, chemical reaction, yield stress, Soret effect

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