Energy spectra in a model for convective turbulence

Details Energy spectra in a model for convective turbulence Energy spectra in a model for convective turbulence

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvl..69..605b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 69, no. 4, July 27, 1992, p. 605-608.

Physics

28

Boussinesq Approximation, Convective Flow, Energy Spectra, Rayleigh Number, Turbulence Models, Energy Transfer, Hydrodynamics, Kinetic Energy, Reynolds Number

Scientific paper

The energy cascade in both hydrodynamic and hydromagnetic Boussinesq convection is investigated at large Rayleigh numbers using a scalar model for turbulence. Depending on the relative importance of direct and inverse transfer, either classical Kolmogorov k exp -5/3 spectra are derived or, if there is a strong inverse transfer of kinetic energy, a K exp -7/5 spectrum is found for the temperature fluctuation and a K exp -11/5 spectrum for the kinetic energy (Bolgiano-Obukhov scaling). Dissipative cutoff wave numbers that are consistent with these spectra are derived.

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