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Three-Dimensional Linear Stability Analysis of Natural Convection in Horizontal Annuli

[+] Author Affiliations
Giuseppe Petrone, Eric Chénier, Guy Lauriat

University of Marne-la-Vallée, Marne-la-Vallée Cedex, France

Paper No. HT2005-72185, pp. 537-544; 8 pages
  • ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems
  • Heat Transfer: Volume 1
  • San Francisco, California, USA, July 17–22, 2005
  • Conference Sponsors: Heat Transfer Division and Electronic and Photonic Packaging Division
  • ISBN: 0-7918-4731-4 | eISBN: 0-7918-3762-9
  • Copyright © 2005 by ASME


Linear stability of two-dimensional natural convective flow in horizontal cylindrical annuli is performed for three-dimensional perturbations and radius ratios in the range 1.2 ≤ R ≤ 3. Flow transitions for moderate to large gap annuli which have not been reported before are thoroughly investigated. Then stability diagrams are obtained for finite and for infinite length annuli. The leading disturbances and thresholds values are found to agree well with experimental data and three-dimensional numerical solutions previously published.

Copyright © 2005 by ASME



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