Analytic Investigation of the Effects of Condensation Shock on Turbulent Boundary Layer Parameters of Nucleating Flow in a Supersonic Convergent-Divergent Nozzle


1 Hakim Sabzevari University, Sabzevar, Iran

2 Ferdowsi University of Mashhad, Iran


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