Nusselt-Rayleigh scaling law: Nu = C_N * Ra^{1/3} for high-Ra turbulent Rayleigh-Benard convection

Layer 1 — Physicsin the dimensional-analysis subtree

Nusselt-Rayleigh scaling framework for turbulent Rayleigh-Benard convection. Setup: a fluid between two horizontal plates at temperatures T_hot (bottom) and T_cold (top), separated by distance L, under gravity. Dimensionless control…

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Tensor algebra T(V)
Theorem: Nusselt-Rayleigh Nu = C_N*Ra^(1/3) has log-slope d(ln Nu)/d(ln Ra) = 1/3

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