Kolmogorov’s constant and local interactions

Suppose that all the wave-vector triad interactions that involve no wavenumber ratio that exceeds β are removed from the Navier–Stokes equation. Within a class of closures, the paradoxical effect is to enhance energy cascade through the Kolmogorov inertial range for 1<β<βc, where βc may be as large as 8. This may have implications with regard to force-free structures in the true Navier–Stokes dynamics.