Modified Marrone-Treanor dissociation model: formulation and verification for diatom/atom mixtures

Abstract: We present a modified Marrone-Treanor (MMT) model for dissociation with rate parameters derived exclusively from quasiclassical trajectory (QCT) calculations on ab initio potential energy surfaces (PESs). Analysis of the QCT dataset for reactant O2 and N2 diatoms sampled from Boltzmann internal energy distributions over a wide (T,Tv)-range indicates that a modified version of the classical Marrone-Treanor two-temperature model captures the most relevant physics of shock-heated dissociating diatomic species very well. We find that simple correction factors account for non-Boltzmann depletion effects observed in direct molecular simulations (DMS) employing the same PESs. The concentration-dependent functional form proposed for these correction factors ensures that depletion effects vanish at chemical equilibrium. Based on comparisons in isothermal and adiabatic heat baths we verify that the resulting MMT model accurately reproduces all major features observed in DMS, while remaining computationally inexpensive enough for large-scale computational fluid dynamics (CFD) simulations.