Abstract
Transonic flows of chemically active gas mixtures whose composition is defined by an arbitrary number of reactions are considered. Conditions ensuring a closeness of the frozen and equilibrium velocities of sound are imposed on the equations of state. An approximate system of equations for vectors of particle velocity and completeness of reactions is obtained as a result of an asymptotic analysis of the system of Euler equations and the equations of chemical reactions associated with them. This system reduces to two equations containing only components of the particle velocity; the order of one of them equals the number of reactions increased by one, while the second equation expresses the nonvorticity condition of the stream. Various limit cases dependent on the magnitude of eigenvalues of the relaxation matrix are pointed out.
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