Abstract
A critical review of hydrodynamical models with asymmetric stress tensor is given. Particular attention is focused on the balance law of angular momentum as the necessary element for a correct description of the internal motions of turbulent oriented eddies. On the basis of this analysis a non-equilibrium turbulence model is proposed that is shown to be close to the hydrodynamic equations with intrinsic rotation and helical turbulence.
We employ this model in the study of the initial stage of thermal convection in a horizontal layer of a rotating non-equilibrium turbulent fluid that is heated from below. Linearizing the balance equations of mass, momentum, angular momentum and energy yields the boundary value problem, from which the general properties of the spectrum are determined. In the case of the horizontal layer with equilibrium boundary conditions on free boundaries we study the influence of the rotation and turbulent motion on the convective instability.
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Berezin, Y.A., Trofimov, V.M. A model of non-equilibrium turbulence with an asymmetric stress. Application to the problems of thermal convection. Continuum Mech. Thermodyn 7, 415–437 (1995). https://doi.org/10.1007/BF01175666
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DOI: https://doi.org/10.1007/BF01175666