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Penetrative convection at high Rayleigh numbers
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Yale University, USA; University of Oxford, United Kingdom.
Number of Authors: 22018 (English)In: Physical review fluids, ISSN 2469-990X, Vol. 3, no 4, article id 043501Article in journal (Refereed) Published
Abstract [en]

We study penetrative convection of a fluid confined between two horizontal plates, the temperatures of which are such that a temperature of maximum density lies between them. The range of Rayleigh numbers studied is Ra = [10(6),10(8)] and the Prandtl numbers are Pr = 1 and 11.6. An evolution equation for the growth of the convecting region is obtained through an integral energy balance. We identify a new nondimensional parameter, Lambda, which is the ratio of temperature difference between the stable and unstable regions of the flow; larger values of Lambda denote increased stability of the upper stable layer. We study the effects of Lambda on the flow field using well-resolved lattice Boltzmann simulations and show that the characteristics of the flow depend sensitively upon it. For the range Lambda = [0.01,4], we find that for a fixed Ra the Nusselt number, Nu, increases with decreasing Lambda. We also investigate the effects of Lambda on the vertical variation of convective heat flux and the Brunt-Vaisala frequency. Our results clearly indicate that in the limit Lambda -> 0 the problem reduces to that of the classical Rayleigh-Benard convection.

Place, publisher, year, edition, pages
2018. Vol. 3, no 4, article id 043501
Keywords [en]
Astrophysical fluid dynamics, Convection and buoyancy-driven flows, Geophysical fluid dynamics
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-155958DOI: 10.1103/PhysRevFluids.3.043501ISI: 000428996600001OAI: oai:DiVA.org:su-155958DiVA, id: diva2:1207142
Available from: 2018-05-18 Created: 2018-05-18 Last updated: 2018-05-18Bibliographically approved

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Wettlaufer, John S.
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