Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 32, Issue 12, Pages 1577-1586Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-011-1524-7
Keywords
non-Newtonian; free convection; nanofluid; porous media
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The free convective heat transfer to the power-law non-Newtonian flow from a vertical plate in a porous medium saturated with nanofluid under laminar conditions is investigated. It is 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 is transformed into an ordinary system via a usual similarity transformation. The numerical solutions of the resulting ordinary system are obtained. These solutions depend on the power-law index n, Lewis number Le, buoyancy-ratio number N-r, Brownian motion number N-b, and thermophoresis number N-t. For various values of n and Le, the effects of the influence parameters on the fluid behavior as well as the reduced Nusselt number are presented and discussed.
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