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Free convection flow of non-Newtonian power-law liquid film with nanoparticles along an inclined plate
B. Vasu, R.S.R. Gorla, P.V.S.N. Murthy,
Published in Australasian Fluid Mechanics Society
2016
Abstract
In the present paper, the first and second laws of thermodynamics are employed in order to study hydrodynamics along with heat and mass transfer of gravity-driven non-Newtonian Ostwald-de-Waele power law liquid film suspending with nanoparticles along an inclined plate. Revised Buongiorno’s model is adopted for nanofluid transport on free convection of film flow. The model, which includes the effects of Brownian motion and thermophoresis, is revised so that the nanofluid particle fraction on the boundary is passively rather than actively controlled. Boussinesq approximation is considered to account for buoyancy. A convective boundary condition is employed which makes this study unique and the results are realistic and practically useful. The modeled boundary layer conservation equations are transformed to dimensionless, coupled and highly non-linear system of differential equations, and then solved numerically. The numerical results are presented graphically and discussed quantitatively for various values of thermo-physical parameters. Our results shows that, when the buoyant force on the heated fluid adjacent to the surface more than outweighs the gravitational force, the lighter fluid tends to raise and a flow reversal is observed in the vicinity of the surface. A comparison of the present results is made with the earlier published results and is found to be in good agreement. © 2006 Australasian Fluid Mechanics Society. All rights reserved.
About the journal
JournalProceedings of the 20th Australasian Fluid Mechanics Conference, AFMC 2016
PublisherAustralasian Fluid Mechanics Society