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Boundary-layer non-Newtonian flow over vertical plate in porous
medium saturated with nanofluid∗

Research Authors
F. M. HADY1, F. S. IBRAHIM, S. M. ABDEL-GAIED2, M.R.EID2
Research Abstract

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 Nr, Brownian motion
number Nb, and thermophoresis number Nt. 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

Research Department
Research Journal
Applied Mathematics
and Mechanics
(English Edition)
Research Member
Research Publisher
c Shanghai University and Springer-Verlag
Research Rank
1
Research Vol
32(12),
Research Year
2011
Research Pages
1577–1586