Fourier-Weierstrass mode analysis for thermally driven turbulence

Siegfried Grossmann, Detlef Lohse

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Abstract

The eddy size and temperature distribution in the inertial subrange of turbulent Rayleigh-Bénard flow at a Rayleigh number Ra [approx equals] 1011 is calculated from the Boussinesq equations. Velocity and temperature fields are decomposed into Fourier modes with geometrically scaling wave numbers. 1/3 scaling for both velocity u and temperature FTHETA is obtained in agreement with Shraiman and Siggia's finding, but there is no indication of a new scaling range as claimed recently. We resolve this discrepancy. The isotropization by eddy decay is demonstrated in terms of the u3FTHETA scaling, which appreciably differs from 2/3; testing this new quantity experimentally would be of great interest.
Original languageUndefined
Pages (from-to)445-448
JournalPhysical review letters
Volume67
Issue number4
DOIs
Publication statusPublished - 1991

Keywords

  • IR-50324

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