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Penetrative convection at high Rayleigh numbers
Yale Univ, New Haven, CT 06520 USA.;Univ Oxford, All Souls Coll, Oxford OX1 4AL, England.;Univ Oxford, Dept Phys, Oxford OX1 3PU, England.;Univ Oxford, Math Inst, Oxford OX2 6GG, England..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Yale Univ, New Haven, CT 06520 USA.;Univ Oxford, Math Inst, Oxford OX2 6GG, England.
2018 (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
American Physical Society, 2018. Vol. 3, no 4, article id 043501
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-226771DOI: 10.1103/PhysRevFluids.3.043501ISI: 000428996600001OAI: oai:DiVA.org:kth-226771DiVA, id: diva2:1203261
Funder
Swedish Research Council, 638-2013-9243
Note

QC 20180503

Available from: 2018-05-03 Created: 2018-05-03 Last updated: 2018-05-03Bibliographically approved

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