Simulation of Low-Pressure Water Flow Through the Laval Nozzle Taking into Account Evaporation on the Basis of a Two-Temperature Model of Two-Phase Flow

摘要

A water flow through the Laval nozzle is studied using the model of the one-velocity two-temperature two-phase medium motion written on the basis of the Navier-Stokes equations. As an equation of state for the carrying phase, Tait's equation is used. The vapor phase dynamics is described by the conservation equation for the concentration of bubbles having the critical radius, the Rayleigh-Lamb equation, and the equation of vapor pressure inside a bubble. The equations for the one-velocity two-temperature medium dynamics are solved by the Beam-Warming method. The explicit contraflow scheme is used to solve the Rayleigh-Lamb equation and the conservation equation for the bubble concentration. The solutions of the quasistationary type obtained for the plane Laval nozzle make it possible to estimate the local flow parameters and the rate of evaporation at with different values of counterpressure. We compare the solutions for the models of independent phase motion and those taking into account the interphase exchange of mass, impulse, and energy.