On Termodynamics of Kolmogorov’s Scaling in Turbulence

The model balance equation of turbulence is represented in the form of the first law of thermodynamics. The forms for entropy are derived with an integrating factor. For the Kolmogorov–Obukhov law, the entropy has the same expression as for an ideal gas. A possible formula for the turbulence temperature is proposed on the basis of hydrodynamical instability processes.