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Technical Briefs

Optimum Natural Convection in a Porous Medium Between a Vertical Polygonal Duct and a Heated Core

[+] Author and Article Information
C. Y. Wang

Departments of Mathematics and Mechanical Engineering,  Michigan State University, East Lansing, MI 48824cywang@mth.msu.edu

J. Heat Transfer 134(8), 084501 (May 29, 2012) (4 pages) doi:10.1115/1.4006101 History: Received July 27, 2011; Revised November 09, 2011; Published May 29, 2012; Online May 29, 2012

The natural or free convection in a polygonal duct with a heated core is solved by eigenfunction expansion and boundary collocation. The optimal sizes of the core for maximum flow or maximum energy transport are determined.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 2

(a) Effect of number of sides, constant temperature case, s = 0, ( b) constant flux case, s = 0. Solid curves are for Q and dashed curves are for E. Each set from top: M = 3, 4, 6, ∞. The small dots are maxima locations.

Grahic Jump Location
Figure 3

Effect of the porous parameter, constant temperature case, M = 4. Solid curves are for Q and dashed curves are for E. Each set from top: s = 0, 2, 5, 10. The small dots are maxima locations.

Grahic Jump Location
Figure 1

(a) The polygonal duct with a heated core (b) the domain of computation

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