A MODEL OF POLYDISPERSE VAPOR–DROPLET MIXTURE FLOW IN A VORTEX CHAMBER

A thermo- and hydrodynamic model of polydisperse vapor–droplet mixture fl ow in a vortex evaporation chamber has been described. The motion of the mixture can be accompanied by fragmentation, coagulation, and evaporation of droplets and by vapor condensation. The model involves the system of equations of motion of the carrying medium and the systems of the equations of motion of a number of disperse fractions. To describe the motion of the carrying medium a system of equations of motion of a viscous compressible heat-conducting gas is used with account for the mass, momentum, and energy exchange with the despersed phase fractions. The disperse dropping liquid fractions are described by systems of equations of gas-dynamic type with account for interphase exchange by mass, momentum, and energy with the carrying medium. The system of equations of the vapor–droplet mixture is represented in generalized curvilinear coordinates and is solved by explicit McCormack's method with splitting of the spatial operator in directions and with the scheme of nonlinear correction at each time step. The model is supplemented by the mechanisms of fragmentation, coagulation, evaporation of droplets and vapor condensation with subsequent correction of hydro- and thermodynamic parameters of the mixture. Based on the model presented, the fl ow of polydisperse single-component vapor–droplet methane mixture in a vortex evaporation chamber has been calculated.
   
Author:  A. L. Tukmakov and N. A. Tukmakova
Keywords:  vapor–droplet mixture, carrying medium, polydispersity, fractions of droplets, Navier–Stokes equations, McCormack′s explicit scheme, fragmentation coagulation, evaporation, condensation
Page:  910