George Batchelor names a value of this quantity that characterizes the impact of molecular diffusion. The “integral” version of this quantity is defined by a spatial integral of the autocorrelation function and is generally larger than a related quantity named for Taylor. One characteristic value of this quantity is defined as nu cubed over epsilon, all raised to the one-fourth power, where nu is the kinematic viscosity and epsilon is the rate of (*) dissipation. Kinetic energy cascades from eddies with high values of this quantity to eddies with low values of this quantity according to Kolmogorov's theory of turbulence. Density times flow velocity times this quantity is the numerator of the Reynolds number. For 10 points, the period of a simple pendulum is proportional to the square root of what quantity? ■END■
ANSWER: length [accept characteristic length or length scale or length microscale; accept answers that indicate a one-dimensional value of size such as diameter or radius; prompt on size]
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