Giving Conduction Its Own τ Left Viscous Heating Stuck at Pr = 1 — The Quasi-Equilibrium g* in Two-Population LB
·7 min read
In Couette flow a plain two-τ thermal LB keeps θ_max at 1.000 for every Pr. Adding the quasi-equilibrium g* recovers 0.498, 0.710, 1.000, and 1.997.
Deriving μ and k from One Formula Put Pr Off by 1.98× — the 9/4 Behind a 123.5 K Wall Temperature
·7 min read
Deriving μ and k from one mean free path pins air's Pr at γ = 1.400 against a measured 0.707. Eucken's 9/4 drops the Couette wall gap from 123.5 K.
Doubling τ Left Pr at 1.0000 — The Two Constants Locked Inside Thermal LBM
·9 min read
A single-distribution thermal LBM ties viscosity and thermal diffusivity to one τ, locking Pr at 1. I measured on D2Q9 what a second distribution unlocks.
Measure the Drag, Get the Heat Transfer — The Reynolds Analogy
·6 min read
At Re_x = 1e5 on a flat plate, Cf/2 stays at 1.050e-3, and St times Pr to the 2/3 matches that value at Pr = 0.7, 1, and 7.