Sensor Requirements for Turbulent Flow Control

Using the inviscid assumption for the calculation of the dissipation rate, the nondimensional length scale and time scale, respectively, reduce to 

Ig is the characteristic length of the inertial sublayer, u is the characteristic velocity of the eddy, and Re is the Reynolds number (uls/v). Equations (12.3) and (12.4) indicate that with the increase in the Reynolds number, the length and time scale of eddies reduce. To spatially resolve the small eddies, sensors that are of same size as the Kolmogorov length scale for 

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