Simulation of a Liquid Jet using the Lattice Boltzmann Model for Immiscible Two-Phase Flow

Abstract

Jet breakup is an important behavior at a core disruptive accident for a sodium-cooled fast reactor. The lattice Boltzmann (LB) method is adopted to simulate the jet breakup behavior. The Multiple-Relaxation Time (MRT) scheme is introduced into the existing three-dimensional 19-velocity (D3Q19) LB model for immiscible two-phase flow to enhance the numerical stability for low kinematic viscosity. The simulation results show that the present LB model using MRT enables to simulate the jet breakup behavior, where the kinematic viscosity is of the order of 10 -3 . The velocity field and interfacial shape are compared with the experimental result using PIV and Laser-Induced Fluorescence (LIF). The interfacial instability and fragmentation behavior of the jet can be also simulated. Comparison of the LB simulation with experimental data shows that the time series of jet leading edge can be simulated within an error of around 10%.

Lattice Boltzmann modeling and simulation of liquid jet breakup

“…5(b)]. The numerical test using D3Q19 is based on [33]. The maximum spurious velocities |u| max are 1.2 × 10 −2 for D3Q19 and 5.8 × 10 −3 for D3Q27, respectively.…”

“…Setup Figure 11 illustrates a schematic diagram of the boundary conditions for liquid-jet-breakup simulations. This computational setup is the same as that of Saito et al [33], except for the outflow boundary. In the initial state, the computational domain is filled with blue-particledistribution functions, f b i , with zero velocity.…”

“…IV A, we perform here numerical simulations of liquid-jet breakup. The parameters for this simulation are set to be exactly the same as in the experiments [33], and the results are compared. In the target experiments, a glycerin-watermixture jet was injected into a silicon-oil pool.…”

“…These test fluids were immiscible with each other. In [33], the lattice Boltzmann simulation was also carried out using the MRT color-fluid model based on the D3Q19 lattice.…”

“…1. The authors carried out lattice Boltzmann simulations of liquid-jet breakup in three dimensions [32,33]. Matsuo et al [32] used the three-dimensional two-phase lattice Boltzmann model, which was developed by Ebihara and Watanabe [62] based on the model of He et al [41].…”