Natural convection of non-Newtonian power-law fluid over axisymmetric and two-di

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vm!\{3VS*o0Natural convection of non-Newtonian power-law fluid over axisymmetric and two-dimensional bodies of arbitrary shape in fluid-saturated porous media

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Abstract:Numerical analysis of the free convection coupled heat and mass transfer is presented for non-Newtonian power-law fluids with the yield stress flowing over a two-dimensional or axisymmetric body of an arbitrary shape in a fluid-saturated porous medium. The governing boundary layer equations and boundary conditions are cast into a dimensionless form by the similarity transformation. The resulting system of equations is solved by a finite difference method. The parameters studied are the rheological constants, the buoyancy ratio, and the Lewis number. Representative velocity, temperature,and concentration profiles are presented and discussed. It is found that the results depend strongly on the values of the yield stress parameter and the power-law index of the non-Newtonian fluid.

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? WV Zj'^]k%cs s0Department of Science and Mathematics, Faculty of Education, Assiut University, The New Valley 72111, Egypt水利论文 ~w*Bf,Ek)?/C;`

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W-Z1RU*G#jz0APPLIED MATHEMATICS AND MECHANICS

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Keywords:

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.Q$~Yv$H%m(|0T0non-Newtonian fluid水利论文.KG$OeV9B8D*hqB U

L%Bj;B cs7s9s?0porous medium水利论文-nX.elRZ!IKv

@e+c-MVb]0yield stress水利论文]-d7n,dTj!`

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^j;v LLBnA,^8pX0porous media arbitrary shape power-law coupled heat and mass transfer yield stress system of equations boundary conditions finite difference axisymmetric body free convection boundary layer velocity profiles analysis results Lewis index found form cast

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