On the Decay Process of Temperature Field in a General Type of Turbulent Flow

The dynamical equations, governing the process of decaying of a general type of turbulence visualized by superimposing temperature field over an in-compressible velocity field, are obtained in a straight forward manner. According to Millionshtchikov’s hypothesis [5, 6] in a normal distribution all fourth order moments are correlated to the second order moments.. Further, it is shown that in the case when turbulence is simplified to homogeneous isotopic turbulence, two dynamical equations governing the decay of F(k, t) and \(E_{\theta \theta }(k,t)\) , respectively the kinetic and thermal energy spectrum functions form a closed system. When viscosity effects are negligible i.e., when \(\nu \approx 0\) , the results for the final period decay of homogeneous and isotopic turbulence are recovered. ...