The Effect of Contact Angle Hysteresis on the Bubble−Particle Detachment and Trapped Sub-bubble by an Extended Phase-Field Lattice Boltzmann Model

Due to insufficient research on the detachment of bubbles and sub-bubbles caused by contact angle hysteresis, the paper focuses on accurately describing the bubble−particle detachment evolution. Based on a two-dimensional extended phase-field lattice Boltzmann (LB) model, the improved unidirectional interpolation algorithm and corresponding contact angle hysteresis scheme ensure to simulate the bubble−particle detachment with contact angle hysteresis on curved boundaries. Two benchmark cases are conducted to validate the phase-field LB model. Then, we simulate that the bubble is detached from the particle under the condition of different hysteresis windows, initial contact angles, and detachment forces. The effects of contact angle hysteresis on the bubble−particle detachment process and trapped sub-bubble are explored. The advancing angle in the hysteresis window inhibits bubble detachment, and the volume of the trapped sub-bubbles becomes larger. The contact angle hysteresis may weaken the effects of the receding angle and initial contact angle. The detachment force accelerates the process of bubble detachment, and the volume of the sub-bubble shows a tendency to first expand and then shrink. Large bubbles are easily detached, but the role works in a small range. The results provide guidance to control the sub-bubble size and bubble−particle detachment process.