A length scale similar to the hydraulic diameter for natural convection from horizontal surfaces has been previously suggested by others. This length scale correlates the available experimental results for circular, rectangular, and triangular surfaces fairly well. Herein this length scale is used for natural convection from rings. The obtained experimental (using naphthalene sublimation) and numerical (finite-difference approximation of the governing equations for axisymmetric fields) results confirm this length scale applicability to this class of multiply connected surfaces. Relatively good agreement is found between the experimental and numerical results for small inside diameters, while for large inside diameters the agreement is fair. These numerical results correlate well with Nu = 0.603 Ra1/5 Pr0.085 where the length scale is the ratio of area to perimeter of the heat transfer surface. A disk with an impermeable, adiabatic core is used numerically to explore the influence of the flow through the core on the local and average heat transfer rates. These numerical results correlate well with Nu = 0.561 Ra1/5 Pr0.085. This indicates that the lack of core flow decreases the overall heat transfer rate by 7 percent.
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Research Papers
Natural Convection From Horizontal Disks and Rings
M. Sahraoui,
M. Sahraoui
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109
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M. Kaviany,
M. Kaviany
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109
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H. Marshall
H. Marshall
Computing Center, University of Michigan, Ann Arbor, MI 48109
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M. Sahraoui
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109
M. Kaviany
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109
H. Marshall
Computing Center, University of Michigan, Ann Arbor, MI 48109
J. Heat Transfer. Feb 1990, 112(1): 110-116 (7 pages)
Published Online: February 1, 1990
Article history
Received:
July 21, 1988
Online:
May 23, 2008
Citation
Sahraoui, M., Kaviany, M., and Marshall, H. (February 1, 1990). "Natural Convection From Horizontal Disks and Rings." ASME. J. Heat Transfer. February 1990; 112(1): 110–116. https://doi.org/10.1115/1.2910331
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