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Effects of Variable Viscosity and Thermal conductivity on Natural-Convection of Nanofluids Past a Vertical Plate in Porous Media

Published online by Cambridge University Press:  02 December 2013

A. Noghrehabadi ,
M. Ghalambaz  and
A. Ghanbarzadeh
A. Noghrehabadi*
Affiliation:
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz Ahvaz, Iran
M. Ghalambaz
Affiliation:
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz Ahvaz, Iran
A. Ghanbarzadeh
Affiliation:
Department of Mechanical Engineering, Shahid Chamran University of Ahvaz Ahvaz, Iran
*
[email protected]
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Abstract

The effects of variable viscosity and thermal conductivity on the natural convection heat transfer over a vertical plate embedded in a porous medium saturated by a nanofluid are investigated. In the nanofluid model, a gradient of nanoparticles concentration because of Brownian motion and thermophoresis forces is taken into account. The nanofluid viscosity and the thermal conductivity are assumed as a function of local nanoparticles volume fraction. The appropriate similarity variables are used to convert the governing partial differential equations into a set of highly coupled nonlinear ordinary differential equations, and then, they numerically solved using the Runge-Kutta-Fehlberg method. The practical range of non- dimensional parameters is discussed. The results show that the range of Lewis number as well as Brownian motion and thermophoresis parameters which were used in previous studies should be reconsidered. The effect of non-dimensional parameters on the boundary layer is examined. The results show that the reduced Nusselt number would increase with increase of viscosity parameter and would decrease with increase of thermal conductivity parameter.

Keywords

Natural-convectionVariable viscosityVariable thermal conductivityNanofluidsPorous media
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 3 , June 2014 , pp. 265 - 275
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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