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Technical Briefs

Buoyancy Effects on Thermal Boundary Layer Over a Vertical Plate With a Convective Surface Boundary Condition

[+] Author and Article Information
O. D. Makinde1

Faculty of Engineering, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africamakinded@cput.ac.za

P. O. Olanrewaju

Faculty of Engineering, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South Africaoldapo_anu@yahoo.ie

1

Corresponding author.

J. Fluids Eng 132(4), 044502 (Apr 16, 2010) (4 pages) doi:10.1115/1.4001386 History: Received December 23, 2009; Revised January 30, 2010; Published April 16, 2010; Online April 16, 2010

This study aims to analyze the effects of thermal buoyancy on the laminar boundary layer about a vertical plate in a uniform stream of fluid under a convective surface boundary condition. Using a similarity variable, the governing nonlinear partial differential equations have been transformed into a set of coupled nonlinear ordinary differential equations, which are solved numerically by applying shooting iteration technique together with fourth-order Runge–Kutta integration scheme. The variations in dimensionless surface temperature and fluid-solid interface characteristics for different values of Prandtl number (Pr), local Grashof number Grx, and local convective heat transfer parameter Bix are graphed and tabulated. A comparison with previously published results on special case of the problem shows excellent agreement.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Flow configuration and coordinate system

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Figure 2

Velocity profiles for Pr=0.72, Grx=0.1

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Figure 3

Velocity profiles for Pr=0.72, Bix=0.1

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Figure 4

Temperature profiles for Pr=0.72, Grx=0.1

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Figure 5

Temperature profiles for Pr=0.72 and Bix=0.1

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Figure 6

Temperature profiles for Grx=0.1 and Bix=0.1

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