Study of acoustic bubble cluster dynamics using a lattice Boltzmann model

Abstract

The search for the development of a reliable mathematical model for understanding bubble dynamics behavior is an ongoing endeavor. A long list of complex phenomena underlies the physics of this problem. In the past decades, the lattice Boltzmann method has emerged as a promising tool to address such complexities. In this regard, we have applied a 121-velocity multiphase lattice Boltzmann model to an asymmetric cluster of bubbles in an acoustic field. A problem as a benchmark is studied to check the consistency and applicability of the model. The problem of interest is to study the deformation and coalescence phenomena in bubble cluster dynamics, as well as the screening effect on an acoustic multibubble medium. It has been observed that the LB model is able to simulate the combination of the three aforementioned phenomena for a bubble cluster as a whole and for every individual bubble in the cluster.

Pseudopotential multi-relaxation-time lattice Boltzmann model for cavitation bubble collapse with high density ratio

“…Mishra et al [28] introduced a model of cavitation based on the pseudopotential LB model that allows for coupling between the hydrodynamics of a collapsing cavity and supported solute chemical species. Using a pseudopotential LB model, Daemi et al [29] modeled the bubble cluster in an acoustic field, and verified that the deformation and coalescence phenomena in bubble cluster dynamics can be simulated by LBM. However, the above-mentioned research on cavitation did not include the cavitation bubble collapse process, which is essential for the study of the cavitation phenomenon, and the density ratio between liquid phase and gas phase was limited below 100.…”

Theoretical analysis of interaction between a particle and an oscillating bubble driven by ultrasound waves in liquid

“…Many theoretical works have described the interaction between two or many gas bubbles in liquid. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] In the present work, the theoretical framework of the model of bubblebubble interaction [9] is applied to describe the interaction between a particle and an oscillating bubble driven by ultrasound waves in liquid. Both the particle and the bubble are free to translate.…”