Kolmogorov two-thirds law
= Kolmogorov two-thirds law
{c}
{title2=$S_2(r)=\beta(\epsilon r)^{2/3}$}
The second-order <longitudinal structure function> has the displayed form in the idealized <inertial range> of <Kolmogorov 1941 theory>. It predicts that the typical longitudinal <velocity increment> grows as the cube root of separation. Unlike the <Kolmogorov four-fifths law>, its exponent and coefficient are not exact consequences of the <Navier-Stokes equation>.