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Influence of yield stress on free convective boundary-layer flow of
a non-Newtonian nanofluid past a vertical plate in a porous medium

Research Authors
F. M. Hady1, F. S. Ibrahim1, S. M. Abdel-Gaied2 and M. R. Eid2
Research Abstract

The effect of yield stress on the free convective heat transfer of dilute liquid suspensions of nanofluids flowing on a vertical plate saturated
in porous medium under laminar conditions is investigated considering the nanofluid obeys the mathematical model of power-law.
The model used for non-Newtonian nanofluid incorporates the effects of Brownian motion and thermophoresis. The governing boundary-
layer equations are cast into dimensionless system which is solved numerically using a deferred correction technique and Newton
iteration. This solution depends on yield stress parameter Ω, a power-law index n, Lewis number Le, a buoyancy-ratio number Nr, a
Brownian motion number Nb, and a thermophoresis number Nt. Analyses of the results found that the reduced Nusselt and Sherwood
numbers are decreasing functions of the higher yield stress parameter for each dimensionless numbers, n and Le, except the reduced
Sherwood number is an increasing function of higher Nb for different values of yield stress parameter

Research Department
Research Journal
Journal of Mechanical Science and Technology 25 (8) (2011) 1~8
Research Member
Research Publisher
Springer
Research Rank
1
Research Vol
25 (8)
Research Website
www.springerlink.com/content/1738-494x
Research Year
2011
Research Pages
1~8