Natural Convection From Two Thermal Sources in a Vertical Porous Layer

[+] Author and Article Information
Nawaf H. Saeid

School of Mechanical Engineering, University of Science Malaysia, 14300 Nibong Tebal, Pulau Pinang, Malaysia

J. Heat Transfer 128(1), 104-109 (Oct 02, 2005) (6 pages) doi:10.1115/1.2136367 History: Received September 01, 2004; Revised October 02, 2005

Numerical study of natural convection flow induced by two isothermally heated elements located on adiabatic vertical plate immersed in a Darcian porous medium is carried out in the present article. The natural convection is affected by the Rayleigh number, the separation distance between the elements, their temperature ratio, and the length of the upper element. The numerical results are presented as average Nusselt number versus Rayleigh number for wide ranges of the governing parameters. It is found that the heat transfer from the lower element is not affected by the presence of the upper element for equal temperatures of the elements. The heat transfer from the lower element can be enhanced by increasing the temperature of the upper element due to the suction effect. The average Nusselt number along the upper heated element is found to increase with the increase of any of the governing parameters.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 5

Effect of the upper element length on the variation of Nu1¯ and Nu2¯ with Rayleigh number, for Θ=1 and D=1

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Figure 4

Effect of the upper element temperature on the variation of Nu1¯ and Nu2¯ with Rayleigh number, for L2=1 and D=0

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Figure 3

Isotherms (left), stream lines (right) for L2=1, Θ=1 and D=3: (a) Ra=100 (Δθ=0.1, ΔΨ=1), (b) Ra=250 (Δθ=0.1, ΔΨ=2), (c) Ra=1000 (Δθ=0.1, ΔΨ=5) (only important region is shown)

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Figure 2

Effect of the separation distance on the variation of (a) Nu1¯ and Nu2¯ (b) Nu2¯∕Nu1¯, with Rayleigh number, for L2=1 and Θ=1

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Figure 1

Schematic diagram of the physical model and coordinate system



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