Unified Gas-Kinetic Scheme for Gas-Particle Flow in Shock-Induced Fluidization of Particles Bed
In this paper, a unified-gas kinetic scheme (UGKS)
for the gas-particle flow is constructed. UGKS is a direct modeling
method for both continuum and rarefied flow computations. The
dynamics of particle and gas are described as rarefied and continuum
flow, respectively. Therefore, we use the Bhatnagar-Gross-Krook
(BGK) equation for the particle distribution function. For the gas
phase, the gas kinetic scheme for Navier-Stokes equation is solved.
The momentum transfer between gas and particle is achieved by the
acceleration term added to the BGK equation. The new scheme is
tested by a 2cm-in-thickness dense bed comprised of glass particles
with 1.5mm in diameter, and reasonable agreement is achieved.