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Research Papers: Heat and Mass Transfer

Heat and Mass Transfer in Power-Law Nanofluids Over a Nonisothermal Stretching Wall With Convective Boundary Condition

[+] Author and Article Information
Waqar A. Khan1

 Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, Karachi 75350, Pakistanwkhan_2000@yahoo.com

Rama Subba Reddy Gorla

 Department of Mechanical Engineering, Cleveland State University, Cleveland, OH 44114

1

Corresponding author.

J. Heat Transfer 134(11), 112001 (Sep 28, 2012) (7 pages) doi:10.1115/1.4007138 History: Received January 16, 2012; Revised June 26, 2012; Published September 26, 2012; Online September 28, 2012

A boundary layer analysis that has been presented for the heat and mass transfer in power-law nanofluids over a stretching surface with convective boundary condition are investigated numerically. The surface nanoparticle concentration is kept constant. A power-law model is used for non-Newtonian fluids, whereas Brownian motion and thermophoresis effects are incorporated in the nanofluid model. A similarity transformation is used to reduce mass, momentum, thermal energy, and nanoparticles concentration equations into nonlinear ordinary differential equations which are solved numerically by using a finite difference method. The effects of nanofluid parameters, suction/injection, and convective parameters and generalized Pr and Le numbers on dimensionless functions, skin friction, local Nusselt, and Sherwood numbers are shown graphically. The quantitative comparison of skin friction and heat transfer rates with the published results for special cases is shown in tabular form and is found in good agreement.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Flow model and coordinate system

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Figure 2

Effect of injection parameter R on dimensionless velocity for different non‐Newtonian fluids

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Figure 3

Variation of dimensionless wall shear stress with suction/injection parameter R for different generalized Newtonian fluids

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Figure 4

Effect of injection and convective parameters on dimensionless temperature for different non‐Newtonian nanofluids

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Figure 5

Effect of generalized Prandtl number Pr and thermophoresis parameter on dimensionless temperature for different non‐Newtonian nanofluids

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Figure 6

Effect of generalized Lewis number Le and Brownian motion parameter on dimensionless nanoparticle concentration for different non‐Newtonian nanofluids

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Figure 7

Variation of dimensionless heat transfer rates with convective parameter and generalized Prandtl number for different power-law nanofluids

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Figure 8

Variation of dimensionless mass transfer rates with generalized Lewis number, Brownian motion, and thermophoresis parameters for different non-Newtonian nanofluids

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