Abstract: Prandtl-Meyer flow is one kind of basic flow important for the design of aircraft. A numerical method is developed to solve the moist air flows with non-equilibrium condensation. The Prandtl-Meyer flows around 90° and 40° angles of sharp corners are numerically simulated at oncoming at moist air flow conditions, and compared with experimental measurements. For the 90° angle of sharp corner, the predicted static pressure distribution is well agreed with the experimental data. For the 40° angle of sharp corner, the density distribution is in good agreement with the measured values. With the increased relative humidity of oncoming flow, the onset condensation position moves upstream and the maximum nucleation rate decrease. The non-equilibrium condensation of moist air leads to obvious variations of the distribution of pressure, Mach number and temperature etc.