Kolmogorov 1941: the famous E(k) ∝ k^(-5/3) law of turbulence
jo_brandstetter · x · 2026-10-26
On turbulence energy spectra: how kinetic energy distributes across wavenumbers k. Andrey Kolmogorov's 1941 ideas, together with Obukhov's work, gave the famous E(k) ∝ k^(−5/3) law over an intermediate range of scales. The author marvels that something so intricate carries such a simple signature; the attached figure shows spectra converging to the -5/3 slope as the Reynolds number grows.
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