Heat transport in rotating convection

Peter Constantin; Chris Hallstrom; Vachtang Putkaradze

doi:10.1016/S0167-2789(98)00252-8

Heat transport in rotating convection

Peter Constantin, Chris Hallstrom, Vachtang Putkaradze

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.

Original language	English (US)
Pages (from-to)	275-284
Number of pages	10
Journal	Physica D: Nonlinear Phenomena
Volume	125
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(98)00252-8
State	Published - 1999

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Keywords

Convection
Turbulence

Access to Document

10.1016/S0167-2789(98)00252-8

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@article{337c60f7b2034ae6a8ce97addb2c3efe,

title = "Heat transport in rotating convection",

abstract = "We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.",

keywords = "Convection, Turbulence",

author = "Peter Constantin and Chris Hallstrom and Vachtang Putkaradze",

note = "Funding Information: We acknowledge discussions with E.A. Spiegel and C. Doering. VP and PC acknowledge support of the NSF-MRSEC center at the University of Chicago. VP was supported by ONR grant number N00014-96-1-0127. PC acknowledges partial support by NSF DMS-9802611. We thank the anonymous referees for their valuable and constructive comments. ",

year = "1999",

doi = "10.1016/S0167-2789(98)00252-8",

language = "English (US)",

volume = "125",

pages = "275--284",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

number = "3-4",

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TY - JOUR

T1 - Heat transport in rotating convection

AU - Constantin, Peter

AU - Hallstrom, Chris

AU - Putkaradze, Vachtang

N1 - Funding Information: We acknowledge discussions with E.A. Spiegel and C. Doering. VP and PC acknowledge support of the NSF-MRSEC center at the University of Chicago. VP was supported by ONR grant number N00014-96-1-0127. PC acknowledges partial support by NSF DMS-9802611. We thank the anonymous referees for their valuable and constructive comments.

PY - 1999

Y1 - 1999

N2 - We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.

AB - We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.

KW - Convection

KW - Turbulence

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U2 - 10.1016/S0167-2789(98)00252-8

DO - 10.1016/S0167-2789(98)00252-8

M3 - Article

AN - SCOPUS:0000948960

VL - 125

SP - 275

EP - 284

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 3-4

ER -