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مکانیک::
مقیاس انتگرال
Corrsin (1962c) used a simple phenomenological model and some exist- ing data to suggest that the fine-structure was distributed into thin sheets, with thickness on the order of the Kolmogorov scale, and separation distance of the order of the integral scale.
where R is the radius of the assumed spherical turbulent domain, V is the vol- ume of the sphere and L is the integral scale.
and so we obtain a relation between the characteristic velocity, the time and the integral scale:
Using (12.37) we get an estimate of the decay rate of the turbulent velocity as well as the growth rate of the integral scale:
The hypothesis further states that all statistical quantities in this inertial range at length scales r " Lp, where Lp is the integral scale associated with the energy spectrum, should be isotropic and should scale only in terms of ?
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