Modeling of dissociation–recombination in nozzles using strongly non-equilibrium vibrational distributions

State-to-state description of reacting air flows behind shock waves

“…Simplified models of vibrational-chemical kinetics make it possible to express distribution functions in terms of a few number of macroscopic parameters and, consequently, reduce a number of governing equations, therefore they are attractive for a practical use. Multitemperature approaches for reacting mixtures are derived from the kinetic theory and applied for expanding and shock heated air flows in [32,56,3], recently reduced models for the state-to-state kinetics in hypersonic flows have been proposed in [57][58][59].…”

Non-Equilibrium Kinetics and Transport Properties in Reacting Flows in Nozzles

“…Under condition (4) using the generalized Chapman-Enskog method one can derive the closed set of equations for vibrational level populations n i , atomic number density n at , gas velocity v and gas temperature T describing a nonequilibrium gas flow in the state-to-state approximation [6,5,8]. For A 2 /A mixture these equations have the form:…”

“…This distribution has been proposed first for a one-component gas as an approximate solution of master equations for level populations [9], then it has been derived from the kinetic theory in [10]. Recently this distribution has been used for modelling of non-equilibrium reacting mixture flows [8].…”

Comparisons and scaling rules between N+N2and N2+N2collision induced dissociation cross sections from atomistic studies

“…Detailed information on the dynamics and kinetics of both atom-molecule (AM) and molecule-molecule (MM) collisions are of key importance in accurate modeling of aerothermodynamics, combustion, laser and plasma physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. This is due to the presence of conditions of strong mechanical, thermal and chemical non-equilibrium.…”