Flow of Prandtl–Mayer type for a one-velocity model of dispersion medium

A one-velocity model of disperse medium finds application in the investigations of wave phenomena in two-phase media of foamy structure, bubble liquids, foamed polymers (such as polyurethane), and aerosols. Treated in [1,2] are numerical methods for the calculation of a complete set of model equations [3], which is associated with a fairly laborious procedure of integration of partial differential equations. For homogeneous isentropic flows, the solution in a number of cases may be derived by simpler means. For example, in the case of the problem of expansion flow in the vicinity of the exterior obtuse angle treated in this paper, the Bernoulli integral may be used to reduce the problem to a set of ordinary differential equations. Note that the modification of the Bernoulli integral in application to a one-velocity model of multicomponent mixture has not been described in the literature; therefore, related problems are also treated below such as the calculation of critical parameters, maximum possible velocities, and stagnation parameters.