Analytic investigation of the effect of condensation shock on turbulent boundary layer parameters of nucleating flow in a supersonic convergent-divergent nozzle

Under the in uence of intense expansion and supersonic acceleration of the steam ow in a divergent channel, the instability of the ow intensies. In the lack of external surfaces, this non-equilibrium state causes nucleation and consequent growth of formed nuclei. Due to the release of latent heat from condensation to the supersonic ow at the location of nucleation, an increase in pressure is developed in this small region, which is known as condensation shock. In this research, the eects of this shock on boundary layer parameters are investigated. First, the water vapor ow that has the capability of nucleation is modeled analytically, as adiabatic, inviscid and one dimensional, and then, using the mathematical equations of laminar and turbulent boundary layer parameters and the inviscid-viscous Interaction method. The results of this analytical modeling show that although the in uence of the boundary layer on the expansion ow is limited, it still causes approximately 3% increase in the diameter of the water droplets. However, the eects of two-phase ow on the boundary layer parameters at the location of the condensation shock are considerable. The major novelty of this research is determining the quantication and qualication of these eects.