Heat transfer in convective turbulence

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Published under licence by IOP Publishing Ltd
, , Citation Peter Constantin and Charles R Doering 1996 Nonlinearity 9 1049 DOI 10.1088/0951-7715/9/4/013

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Author affiliations

1 Department of Mathematics, University of Chicago, Chicago, IL 60637, USA

2 Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Dates

  1. Received 10 April 1996

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0951-7715/9/4/1049

Abstract

We investigate the bulk scaling of the convective heat transport in the Boussinesq equations. An a priori bound on the scaling exponent is obtained without making any assumptions on the turbulent fluctuations. If horizontal gradients of temperature fluctuations are relatively small near the boundary then different scaling regimes are obtained.

PACS classification scheme numbers: 4727T, 0340G, 4727C, 4727A

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10.1088/0951-7715/9/4/013