Temperature and velocity boundary layers in turbulent convection

Andrew Belmonte, Andreas Tilgner, Albert Libchaber

Research output: Contribution to journalArticle

145 Citations (Scopus)

Abstract

We experimentally study the temperature and velocity fields in high Rayleigh number (Ra) convection by making local measurements as a function of distance from the boundary in a cubic cell. The experiments are performed at two different Prandtl numbers (Pr). In water (Pr=6.6), we measure the thermal and viscous boundary layers for Ra=1×109. We also estimate the advective heat transport in the cell. In room temperature gas (Pr=0.7), we measure the thermal boundary layer for Ra from 5×105 to 1×1011. Its thickness scales as Ra-2/7 for Ra>2×107. We measure a second length scale at both Pr using the maximum cutoff frequency of the power spectrum, and demonstrate that it corresponds to the maximum velocity of the large scale circulation. In the gas, this length is consistent with a Ra-1/2 scaling for Ra>2×109. We also present the temperature skewness and the effects of Pr.

Original languageEnglish (US)
Pages (from-to)269-279
Number of pages11
JournalPhysical Review E
Volume50
Issue number1
DOIs
StatePublished - Jan 1 1994

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Convection
Boundary Layer
boundary layers
convection
thermal boundary layer
Heat Transport
skewness
Cell
Rayleigh number
Prandtl number
Skewness
cells
Temperature Field
Power Spectrum
gases
Length Scale
Velocity Field
temperature
power spectra
temperature distribution

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Belmonte, Andrew ; Tilgner, Andreas ; Libchaber, Albert. / Temperature and velocity boundary layers in turbulent convection. In: Physical Review E. 1994 ; Vol. 50, No. 1. pp. 269-279.
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Temperature and velocity boundary layers in turbulent convection. / Belmonte, Andrew; Tilgner, Andreas; Libchaber, Albert.

In: Physical Review E, Vol. 50, No. 1, 01.01.1994, p. 269-279.

Research output: Contribution to journalArticle

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