{ "protocol": { "model": "Breward and Howell 2002 transition-region BVP, soluble surfactant, beta=0 plug-flow limit", "doi": "10.1017/S0022112002007930", "url": "https://doi.org/10.1017/S0022112002007930", "equations": [ "4.17", "4.18", "4.21", "4.22" ], "comparison": "section 5, Figures 6 and 7", "dimensionless": true, "h_l": 0.8, "P": 5.0, "T": 5.0, "beta": 0.0, "domains": [ 40, 80, 160, 320 ], "tolerance": 1e-07, "tight_tolerance": 1e-08, "initial_Q_guess_both_cases": 0.1, "published_rounded_Q": { "0.5": 0.4292, "1.0": 0.0349 }, "nature": "post-pilot deterministic equation reproduction; not blind hypothesis testing, not physical validation", "gates": "positive profiles; max collocation RMS<1e-6; boundary residual<1e-7; last-domain Q change<0.1%; Q matches 4-decimal published rounding; tighter tolerance Q change<0.01%", "limits": "stationary local BVP with fixed far-border surfactant; no finite-border temporal update, no SI calibration, no coupling into rigid-interface E04B" }, 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No SI material prediction, finite-border coupling or experimental validation." }