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Technical Briefs

Free Convection Boundary Layer Flow Past a Horizontal Flat Plate Embedded in a Porous Medium Filled With a Nanofluid

[+] Author and Article Information
W. A. Khan1

Department of Engineering Sciences, PN Engineering College,  National University of Sciences and Technology, Karachi 75350, Pakistan e-mail: wkhan_2000@yahoo.com

I. Pop

Faculty of Mathematics,  University of Cluj, R-3400 Cluj, CP 253, Romania

1

Corresponding author.

J. Heat Transfer 133(9), 094501 (Jul 08, 2011) (4 pages) doi:10.1115/1.4003834 History: Received January 16, 2011; Revised March 09, 2011; Accepted March 10, 2011; Published July 08, 2011; Online July 08, 2011

A similarity solution is presented for the steady free convection boundary layer flow past a horizontal flat plate embedded in a porous medium filled with nanofluids. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy-Boussinesq model is employed. This solution depends on a Lewis number Le, a buoyancy-ratio parameter Nr, a Brownian motion parameter Nb, and a thermophoresis parameter Nt. The effects of these parameters on the velocity, temperature and nanoparticle fraction profiles are discussed. The dependency of the local Nusselt and Sherwood numbers on these four parameters is also investigated.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Effects of the buoyancy-ratio parameter Nr and the Brownian motion parameter Nb on the dimensionless velocity profiles when the plate is heated upward or cooled downward

Grahic Jump Location
Figure 2

Effects of the buoyancy-ratio parameter Nr and the Brownian motion parameter Nb on the dimensionless temperature profiles when the plate is heated upward or cooled downward

Grahic Jump Location
Figure 3

Effects of the buoyancy-ratio parameter Nr and the Brownian motion parameter Nb on the dimensionless nanoparticle volume fraction profiles when the plate is heated upward or cooled downward

Grahic Jump Location
Figure 4

Variation of the local Nusselt number with the Brownian motion parameter Nb when the plate is heated upward or cooled downward

Grahic Jump Location
Figure 5

Variation of the local Sherwood number with the Brownian motion parameter Nb when the plate is heated upward or cooled downward

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