Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium

S. M. Abdel-Gaied; M. R. Eid

doi:10.3879/j.issn.1000-0887.2011.02.005

Volume 32 Issue 2

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S. M. Abdel-Gaied, M. R. Eid. Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium[J]. Applied Mathematics and Mechanics, 2011, 32(2): 171-179. doi: 10.3879/j.issn.1000-0887.2011.02.005

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Natural Convection of Non-Newtonian Power-Law Fluid Over Axisymmetric and Two-Dimensional Bodies of Arbitrary Shape in a Fluid-Saturated Porous Medium

doi: 10.3879/j.issn.1000-0887.2011.02.005

Department of Science and Mathematics, Faculty of Education, Assiut University, The New Valley 72111, Egypt

Received Date: 2010-10-15
Rev Recd Date: 2010-11-18
Publish Date: 2011-02-15

Abstract

Abstract

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

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References(13)

References

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