In this paper we use the Reynolds stress models (RSM) to derive algebraic expressions for the following variables: a) heat fluxes; b)?μ fluxes; and c) momentum fluxes. These relations, which are fully 3D, include: 1) stable and unstable stratification, represented by the Brunt-V?is?la frequency, ; 2) double diffusion, salt-fingers, and semi-convection, represented by the density ratio Rμ?=??μ(?????ad)-1; 3) shear (differential rotation), represented by the mean squared shear Σ2 or by the Richardson number, Ri?=????N2Σ-2; 4) radiative losses represented by a Peclet number, Pe; 5) a complete analytical solution of the 1D version of the model. In general, the model requires the solution of two differential equations for the eddy kinetic energy K and its rate of dissipation, ε. In the local and stationary cases, when production equals dissipation, the model equations are all algebraic.
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