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.
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This paper was recommended for publication in revised form by Associate Editor Dongsik Kim
Mohamed Rabea Eid is currently working as an associate lecturer in Science and Mathematics Department, New Valley Faculty of Education, Assiut University. He received his BSc. in Mathematics & Education, and BSc. in Mathematics in 1999. Then he received his MSc. in Applied Mathematics and Ph.D in Applied Mathematics (nanofluids research) in 2004 and 2009, respectively.
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Hady, F.M., Ibrahim, F.S., Abdel-Gaied, S.M. et al. Influence of yield stress on free convective boundary-layer flow of a non-Newtonian nanofluid past a vertical plate in a porous medium. J Mech Sci Technol 25, 2043–2050 (2011). https://doi.org/10.1007/s12206-011-0628-0
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DOI: https://doi.org/10.1007/s12206-011-0628-0