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On a transitional and turbulent natural convection in spherical shells

Feldman, Yuri and Colonius, Tim (2013) On a transitional and turbulent natural convection in spherical shells. International Journal of Heat and Mass Transfer, 64 . pp. 514-525. ISSN 0017-9310.

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Laminar and turbulent natural convection inside concentric spherical shells with isothermal cold and hot boundaries is numerically investigated up to Rayleigh number values Ra ⩽ 10^(12) and Pr = 0.71. The study utilizes direct numerical simulation (DNS), large eddy simulation (LES) and Reynolds averaged Navier–Stokes (RANS) approaches for investigation of the laminar, transitional and fully developed turbulent flow regimes, respectively. Three-dimensional flow patterns for slightly supercritical oscillatory flow regime inside the shell, with internal/external diameter ratio equal to D_i/D_o = 0.714 are presented and may be potentially useful for verification of the future linear stability analysis results. Particular attention has been given to the complex, fully three-dimensional unsteady flows occurring in narrow shell geometries characterized by 0.85 ⩽ D_i/D_o ⩽ 0.95. For this geometry considerable deviations in predicted heat flux rate through the shell boundaries are observed when compared with existing heat transfer correlations for the entire range of Ra numbers. The deviations tend to increase for transitional and fully turbulent flows. A new correlation for the heat transfer rate is suggested for laminar and transitional flow regimes.

Item Type:Article
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URLURL TypeDescription DOIArticle
Colonius, Tim0000-0003-0326-3909
Additional Information:© 2013 Elsevier Ltd. Received 3 December 2012; Received in revised form 15 April 2013; Accepted 15 April 2013; Available online 21 May 2013. This research was funded by the Jet Propulsion Laboratory (JPL), California Institute of Technology, under a contract with the National Aeronautics and Space Administration. We are grateful to the JPL for a granted access to their supercomputer facilities. We are also thankful to Dr. Jeffrey Hall for his helpful inputs during this project.
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Subject Keywords:Laminar and turbulent natural convection; Narrow spherical shells; Nu-Ra functional relation
Record Number:CaltechAUTHORS:20130917-093943668
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Official Citation:Yuri Feldman, Tim Colonius, On a transitional and turbulent natural convection in spherical shells, International Journal of Heat and Mass Transfer, Volume 64, September 2013, Pages 514-525, ISSN 0017-9310, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41359
Deposited By: Tony Diaz
Deposited On:17 Sep 2013 19:51
Last Modified:03 Oct 2019 05:48

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