Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid

F. M. Hady; F. S. Ibrahim; S. M. Abdel-Gaied; M. R. Eid

doi:10.3879/j.issn.1000-0887.2011.12.007

Volume 32 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2011 > 32(12): 1472-1480

F. M. Hady, F. S. Ibrahim, S. M. Abdel-Gaied, M. R. Eid. Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1472-1480. doi: 10.3879/j.issn.1000-0887.2011.12.007

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Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid

doi: 10.3879/j.issn.1000-0887.2011.12.007

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;
Department of Science and Mathematics, Faculty of Education, Assiut University, New Valley 72111, Egypt

Received Date: 2010-12-13
Rev Recd Date: 2011-09-19
Publish Date: 2011-12-15

Abstract

Abstract

The free convective heat transfer to the power-law non-Newtonian from a vertical plate in a porous medium saturated with nanofluid under laminar conditions was investigated. It was considered that the non-Newtonian nanofluid obeys the mathematical model of power-law. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The partial differential system governing the problem was transformed into an ordinary system via a usual similarity transformation. The numerical solutions of the resulting ordinary system were obtained. These solutions depend on the power-law index n, Lewis number Le, buoyancy-ratio number Nr, Brownian motion number Nb and thermophoresis number Nt. For various values of n and Le, the effect of the influence parameters on the fluid behavior as well as the reduced Nusselt number was presented and discussed.
- non-Newtonian,
- free convection,
- nanofluid,
- porous media

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References(32)

References

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