Cf. Delale et al., ASYMPTOTIC SOLUTION OF TRANSONIC NOZZLE FLOWS WITH HOMOGENEOUS CONDENSATION .2. SUPERCRITICAL FLOWS, Physics of fluids. A, Fluid dynamics, 5(11), 1993, pp. 2982-2995
A detailed analysis of supercritical transonic nozzle flows with stati
onary normal shock waves is presented. A classification scheme based o
n the normal shock location is obtained using asymptotic methods, and
four distinct supercritical flow regimes are distinguished. A simple s
hock fitting technique that determines the shock location within any d
esired precision is introduced. Consequently, an algorithm that exhibi
ts the asymptotic solution in each supercritical flow regime is develo
ped for the expansion of moist air in nozzles with atmospheric supply
conditions by utilizing the classical nucleation theory and the Hertz-
Knudsen droplet growth law. Good agreement with the recent static pres
sure measurements and visualized shock locations is achieved in relati
vely slender nozzles when the condensed phase is assumed to consist pu
rely of water drops.