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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, Centra, Nordic Institute for Theoretical Physics NORDITA. Yale Univ, New Haven, CT 06520 USA.;Univ Oxford, Math Inst, Oxford OX2 6GG, England.
2018 (Engelska)Ingår i: Physical Review Fluids, E-ISSN 2469-990X, Vol. 3, nr 4, artikel-id 043501Artikel i tidskrift (Refereegranskat) 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.

Ort, förlag, år, upplaga, sidor
American Physical Society, 2018. Vol. 3, nr 4, artikel-id 043501
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Fysik
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URN: urn:nbn:se:kth:diva-226771DOI: 10.1103/PhysRevFluids.3.043501ISI: 000428996600001Scopus ID: 2-s2.0-85047181816OAI: oai:DiVA.org:kth-226771DiVA, id: diva2:1203261
Forskningsfinansiär
Vetenskapsrådet, 638-2013-9243
Anmärkning

QC 20180503

Tillgänglig från: 2018-05-03 Skapad: 2018-05-03 Senast uppdaterad: 2019-04-04Bibliografiskt granskad

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Wettlaufer, John S.
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Nordic Institute for Theoretical Physics NORDITA
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