The turbulent vortices possess the properties of decay, dissipation and dispersion. A set of new control equations is presented featuring the interaction between dissipation and dispersion of turbulence. By stability analysis the turbulent energy production rate is established. Two third-order momentum equations are derived, one for strong vorticity and the other for weak vorticity. By this new theory diversified turbulent flow problems can be solved, such as the energy inversion in the wake vortex behind a bluff body, the coherent horseshoe vortex patterns in a turbulent boundary layer, the delay in cascading of turbulent energy throngh spectrum, anisotropy, etc. Two computational examples are presented in this paper.
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Ge Gao (1985) studied this question.