Prandtl-Meyer flows with homogeneous condensation. Part 2. Supercritical flows

Prandtl-Meyer flows with embedded oblique shock waves due to excessive heat release from condensation (supercritical flows) are considered by extendin g the subcritical asymptotic solution of Delale & Crighton (1998). The embe dded shock origin is located by the construction of the envelope of the fam ily of characteristics emanating either from the corner or from the deflect ed wall in the parabolic approximation. A shock fitting technique for embed ded oblique shock waves is introduced in the small deflection angle approxi mation and the law of deflection of a streamline through an embedded obliqu e shock wave is established within the same approximation, The network of c haracteristics downstream of the embedded shock front is constructed and th e solution for the flow field therein is evaluated by utilizing the asympto tic solution of the rate equation along streamlines downstream of the shock front together with the equations of motion in characteristic form. Result s obtained by employing the classical nucleation equation and the Hertz-Knu dsen droplet growth law, compared with the supercritical experiments of Smi th (1971) for moist air expansions, show that supercritical Prandtl-Meyer f lows can only be realized locally when the embedded shock lies sufficiently far downstream of the throat, where the corner is located.