Infinite prandtl number convection

Peter Constantin; Charles R. Doering

doi:10.1023/a:1004511312885

Infinite prandtl number convection

Peter Constantin
, Charles R. Doering

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

163 Scopus citations

Abstract

We prove an inequality of the type N ≤ CR^1/3(1+log₊R)^2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh-Bénard convection in the limit of infinite Prandtl number.

Original language	English (US)
Pages (from-to)	159-172
Number of pages	14
Journal	Journal of Statistical Physics
Volume	94
Issue number	1-2
DOIs	https://doi.org/10.1023/a:1004511312885
State	Published - Jan 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Keywords

Convection
Heat transport
Nusselt number
Turbulence

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10.1023/a:1004511312885

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title = "Infinite prandtl number convection",

abstract = "We prove an inequality of the type N ≤ CR1/3(1+log+R)2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh-B{\'e}nard convection in the limit of infinite Prandtl number.",

keywords = "Convection, Heat transport, Nusselt number, Turbulence",

author = "Peter Constantin and Doering, \{Charles R.\}",

year = "1999",

month = jan,

doi = "10.1023/a:1004511312885",

language = "English (US)",

volume = "94",

pages = "159--172",

journal = "Journal of Statistical Physics",

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AU - Constantin, Peter

AU - Doering, Charles R.

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N2 - We prove an inequality of the type N ≤ CR1/3(1+log+R)2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh-Bénard convection in the limit of infinite Prandtl number.

AB - We prove an inequality of the type N ≤ CR1/3(1+log+R)2/3 for the Nusselt number N in terms of the Rayleigh number R for the equations describing three-dimensional Rayleigh-Bénard convection in the limit of infinite Prandtl number.

KW - Convection

KW - Heat transport

KW - Nusselt number

KW - Turbulence

UR - https://www.scopus.com/pages/publications/0032589534

UR - https://www.scopus.com/pages/publications/0032589534#tab=citedBy

U2 - 10.1023/a:1004511312885

DO - 10.1023/a:1004511312885

M3 - Article

AN - SCOPUS:0032589534

SN - 0022-4715

VL - 94

SP - 159

EP - 172

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1-2

ER -

Infinite prandtl number convection

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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