We obtain self-similar solutions that describe the dynamics of aself-gravitating, rotating, viscous system. We use simplifying assumptions; butexplicitly include viscosity and the cooling due to the dissipation of energy.By assuming that the turbulent dissipation of energy is as power law of thedensity and the speed v_{rms} and for a power-law dependence of viscosity onthe density, pressure, and rotational velocity, we investigate turbulentcooling flows. It has been shown that for the cylindrically and the sphericallycooling flows the similarity indices are the same, and they depend only on theexponents of the dissipation rate and the viscosity model. Depending on thevalues of the exponents, which the mechanisms of the dissipation and viscositydetermine them, we may have solutions with different general physicalproperties. The conservation of the total mass and the angular momentum of thesystem strongly depends on the mechanisms of energy dissipation and theviscosity model.
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