Vol 6 - Landau+Lifschitz - Fluid Mechanics · Problem 34.1

BOUNDARY LAYERS

Physics — Landau & Lifshitz · velocity-correlation-functions-spectral-density

Problem

Relate the coefficients

C_1

and

C

in formulae (34.39) and (34.40) for the correlation function and the spectral density of energy in the inertial range:

E(k) = C_1 \varepsilon^{2/3} k^{-5/3}, \tag{34.39}

B_{rr}(r) = C(\varepsilon r)^{2/3}. \tag{34.40}