Natural Convection Flow of a Two-Phase Dusty Non-Newtonian Fluid Along a Vertical Surface
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Date
2017-06
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Abstract
The aim of this paper is to present a boundary-layer analysis of two-phase
dusty non-Newtonian fluid flow along a vertical surface by using a modified power-law viscosity
model. This investigation particularly reports the flow behavior of spherical particles
suspended in the non-Newtonian fluid. The governing equations are transformed into nonconserved
form and then solved straightforwardly by implicit finite difference method. The
numerical results of rate of heat transfer, rate of shear stress, velocity and temperature
profiles and streamlines and isotherms are presented for wide range of Prandtl number, i.e,
(0:7 ≤ Pr ≤ 1000:0), with the representative values of the power-law index n. A good
agreement is found between the present and the previous results when compared with some
special cases. The key observation from the present study is that the power-law fluids with
(n > 1) are more likely to promote the rate of heat transfer near the leading edge.
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Keywords
natural convection, dusty fluid, two-phase, non-Newtonian fluids, modified power law, vertical surface