The temperature of turbulent flows

We show that the random character of turbulent flows allows to define a quantity conserved along the length scales which we call the temperature. The corresponding “canonical" distribution of velocity differences at a given scale is derived on very general grounds. It is compared to the one derived by Dubrulle [1] and She and Waymire [2] from the hypothesis of She and Leveque [3]. Some consequences are drawn and this temperature is shown to be a rather easily measurable quantity.