Numerical simulation of oscillations of a monodisperse gas-particle mixture in a nonlinear wave field

This paper presents a numerical simulation procedure for the dynamics of a monodisperse gas-particle mixture in the nonlinear wave field of an acoustic resonator using a two-temperature two-velocity model ignoring phase transitions, particle collision, and possible coagulation. It is assumed that viscosity is present only in the carrier medium described by the Navier-Stokes equations for a compressible gas. The dispersed phase is described by the equation of conservation of mass, momentum, and energy. A monotonic solution is obtained by solving the equations of motion for the carrier medium and dispersed phase in generalized moving coordinates using the explicit McCormack method with splitting in the spatial directions and a conservative correction scheme. The method can be used to study nonlinear oscillations of two-phase mixtures in the vicinity of the first three eigenfrequencies in a flat channel.