Abstract:
The article presents a numerical model of shock wave propagation in a channel from a homogeneous gas to a gas suspension – a suspension of dispersed particles in a gas. This topic is relevant due to various applications in technology. The carrier medium is modeled based on the Navier-Stokes equations. The mathematical model implements a continuum technique for modeling the dynamics of inhomogeneous media — for each component of the mixture, a complete hydrodynamic system of equations of motion was solved, momentum exchange and heat exchange between the components of the mixture were taken into account. The system of equations for the dynamics of the carrier medium and the dispersed phase includes density continuity equations, equations for conservation of spatial components of the carrier and dispersed phase momentum, and energy conservation equations. The equations of the mathematical model were solved by an explicit finite-difference method. A nonlinear grid function correction scheme was used to suppress numerical oscillations.
Keywords:fluid and gas mechanics, numerical modeling, multiphase media, gas suspensions, shock tubes.
Fulltext:
PDF file (251 kB)