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

153 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

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",

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language = "English (US)",

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AU - Doering, Charles R.

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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

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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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