A scalar model of turbulent convection

Details A scalar model of turbulent convection A scalar model of turbulent convection

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phfl...29.3883l&link_type=abstract

Physics of Fluids (ISSN 0031-9171), vol. 29, Nov. 1986, p. 3883-3885.

Physics

2

Convective Flow, Incompressible Flow, Scalars, Turbulence Models, Turbulent Flow, Energy Spectra, Energy Transfer, Nusselt Number, Prandtl Number, Rayleigh Number

Scientific paper

A scalar model of turbulent incompressible convection is presented in which transfer of energy between modes at different scales or between horizontal and vertical vorticity modes is represented by quadratic nonlinear interactions. The growth rate of the modes is parameterized in order to take into account the buoyancy force and the mean temperature gradient. At a small Prandtl number (which is astrophysical interest) it is found that the Nusselt number scales as (R x Sigma) to the 1/3. The form of the spectrum at large wavenumbers is that of three-dimensional turbulence (Kolmogoroff spectrum). At small wavenumbers the spectrum is determined by the growth rate of the unstable modes.

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