Kolmogorov -5/3 law: E(k) = C_K * epsilon^{2/3} * k^{-5/3} via scaling-group dimensional analysis

Layer 1 — Physicsin the dimensional-analysis subtree

Kolmogorov -5/3 turbulence energy-spectrum framework. Setup: homogeneous isotropic turbulence in the inertial range - far from the integral scale where energy is injected, and far from the dissipation (Kolmogorov micro-) scale. Assume (K41…

Related concepts

Lie group
Theorem: Kolmogorov E(k) = C_K*epsilon^(2/3)*k^(-5/3) unit check L^3 T^{-2}

Explore Kolmogorov -5/3 law: E(k) = C_K * epsilon^{2/3} * k^{-5/3} via scaling-group dimensional analysis on the interactive knowledge graph →