State-to-State Approach

In this chapter, multi-component reacting gas mixture flows are studied under the conditions of strong vibrational and chemical non-equilibrium. For such flows, the zero-order and first-order distribution functions are derived in the frame of the modified Chapman-Enskog method. A set of macroscopic equations is obtained including the conservation equations coupled to the equations for the vibrational level populations and number densities of atomic species. The proposed approach makes it possible to develop the most detailed model of physical gas dynamics taking into account state-to-state vibrational and chemical kinetics. On the basis of the first-order distribution function, the kinetic theory of transport processes accounting for detailed non-equilibrium kinetics is established, and the features of dissipative processes under the conditions of strong deviations from the thermal and chemical equilibrium are discussed.