A Small Wobble in Mixture Fraction Drops the Mean Flame Temperature by 964 K — Presumed β-PDF and the Infinity at Z=0
·6 min read
At stoichiometric mean Z, the β-PDF mean temperature sits 964 K below T(Z̄). When a<1, a 100-cell uniform-grid integral also overshoots by 115 K. Here is why, with code.
One χ=50, two temperatures: 1759 K and 818 K — where a flamelet library folds
·8 min read
One χ=50 returns 1759 K and 818 K because the S-curve folds. A 61-point flamelet shows why a progress variable C makes that table single-valued.
202x More Scalar Dissipation, 13% Less Temperature — Where a Laminar Flamelet Quenches
·7 min read
Scalar dissipation rose 202-fold while peak temperature fell only 13%, then the burning solution vanished. Python pins that quench limit.