“…In the frame of the method proposed in Kustova & Nagnibeda (1998); Nagnibeda & Kustova (2009) for the solution of Eqs. (2), the distribution functions are expanded in a power series of the small parameter ε.…”
Section: Kinetic Equations Distribution Functionsmentioning
confidence: 99%
“…(2) with collision operators (52). This system includes equations of state-to-state vibrational and chemical kinetics in a flow Kustova & Nagnibeda (1998); Nagnibeda & Kustova (2009):…”
Section: Distribution Functions Governing Equationsmentioning
confidence: 99%
“…The equations (66) describe detailed state-to-state vibrational and chemical kinetics in an inviscid non-conductive gas mixture flow in the Euler approximation. In the first-order approximation state-dependent transport properties and reaction rates in reacting non-equilibrium flows are studied in Kustova & Nagnibeda (1998); Kustova et al (1999); Nagnibeda & Kustova (2009 …”
Section: The Right Hand Sides Of Eqs (66) R (0)mentioning
“…In the frame of the method proposed in Kustova & Nagnibeda (1998); Nagnibeda & Kustova (2009) for the solution of Eqs. (2), the distribution functions are expanded in a power series of the small parameter ε.…”
Section: Kinetic Equations Distribution Functionsmentioning
confidence: 99%
“…(2) with collision operators (52). This system includes equations of state-to-state vibrational and chemical kinetics in a flow Kustova & Nagnibeda (1998); Nagnibeda & Kustova (2009):…”
Section: Distribution Functions Governing Equationsmentioning
confidence: 99%
“…The equations (66) describe detailed state-to-state vibrational and chemical kinetics in an inviscid non-conductive gas mixture flow in the Euler approximation. In the first-order approximation state-dependent transport properties and reaction rates in reacting non-equilibrium flows are studied in Kustova & Nagnibeda (1998); Kustova et al (1999); Nagnibeda & Kustova (2009 …”
Section: The Right Hand Sides Of Eqs (66) R (0)mentioning
“…It is the most detailed description of the non-equilibrium flow. Transport properties in the flow depend not only on gas temperature and mixture composition but also on all vibrational level populations of different species Kustova & Nagnibeda (1998). More simple models of the flow are based on quasi-stationary multi-temperature or one-temperature vibrational distributions.…”
Section: Theoretical Modelsmentioning
confidence: 99%
“…Taking into account the first-order approximation makes it possible to consider dissipative properties in a non-equilibrium viscous gas. The first-order distribution functions can be written in the following structural form Kustova & Nagnibeda (1998):…”
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