On the thermodynamic behaviors and interactions between bubble pairs: A numerical approach

Multiscale interactions of liquid, bubbles and solid phases in ultrasonic fields revealed by multiphysics modelling and ultrafast X-ray imaging

“… is the absolute value of . More detailed descriptions of the momentum equation are given by Yin et al [42] , is the viscous stress tensor of Newtonian fluid and satisfies the relation below: where is the unit tensor, is the average dynamic viscosity.…”

Numerical investigation of the cavitation bubble near the solid wall with a gas-entrapping hole based on a fully compressible three-phase model

“… satisfies the conservation law α l + α v + α g = 1.0 and 0 < α l , α v , α g less than 1. These phase interfaces, i.e., the gas–liquid interface, the vapor–liquid interface, and the gas–vapor interface, are captured by the volume of fluid (VOF) method, which has superior mass conservation characteristics and has been widely applied in literature [48] , [50] , [51] , [52] , [53] . In the VOF method, only one transport equation derived from Eq (1) for the liquid phase needs to be solved for the two-phase flow.…”

“…Most of the current numerical research on the cavitation bubbles near various boundaries is based on the compressible two-phase (gas–liquid, or vapor–liquid) model [26] , [43] , [44] , [45] , [46] , [47] . In our previous study [48] , a compressible two-phase solver has been implemented to investigate the thermodynamic properties of the bubble pairs. To reveal the physical mechanism of the cavitation bubble near a rigid boundary with a gas entrapping hole, the compressible two-phase model is further expanded to incorporate the three-phase (gas, vapor, and liquid) volume transport equation (more information can be seen in Appendix A).…”

Numerical and experimental investigations on the jet and shock wave dynamics during the cavitation bubble collapsing near spherical particles based on OpenFOAM

“…Koch et al [7] , [8] have developed a numerical model of gas bubble considering liquid compressibility to study the jet dynamics near a rigid wall and a solid cylinder, respectively. Yin et al [9] considered the thermodynamic model for revealing the interaction of bubble pairs. In subsequent research [10] , the phase-change model was further considered to investigate the dynamic behavior of the cavitation bubble during the rebound stage near the flat wall, and the jet dynamics during the rebound stage.…”