Abstract
We consider a pressure (density) in a square flume solid boundaries and no-slip format condition formulation are introduced to investigate cavitation bubble for the two-dimensional lattice Boltz- mann method (LBM). Using the coupling Carnahan-Starling equation of state (C-S EOS) and exact difference method (EDM) based on modified Shan-Chen model, the whole process of bubble collapse was observed complete and visual with equilibrium distribution function and rebound format. This paper analyzes the bubble form evolution, collapse time and dynamic character under the two dimensional press fields.
Highlights
Ultrasonic cavitation is applied extensively in industry and agriculture production
LB equation (LBE) evolved from the lattice gas automatic (LGA), and introducing a probability distribution to reduce the statistical noise in calculating the LGA, which is an artificial microscopic model for gases, and it was shown that LBE could be derived from the Boltzmann equation following some standard discretization later [3]
Cavitation bubble collapse near a solid wall developed a great deal of pressure difference, it was based on the original center of the circle of a low pressure ring, the pressure difference is the cause of the shock wave formed
Summary
Ultrasonic cavitation is applied extensively in industry and agriculture production. Since 1960s, people understood the cavitation effect, cleaning, underwater cutting, sewage treatment, ultrasonic cleaning, oil drilling and other operations. The lattice Boltzmann method (LBM), as a novel mesoscopic [2] numerical algorithm, has attracted considerable attention over last decade. It is based on molecular dynamics and statistical mechanics, using simple rules of particle movement to approximate molecular mass, which can get the macroscopic fluid movement. As a powerful tool for the numerical simulations and investigation of multiphase flows, the LBM has multiple advantages including time and space efficient computations that are straightforward to parallelize, handles complex boundaries without difficulty, and directly link between microscope and macroscopic phenomenon. The cavitation phenomenon based on a modified Shan-Chen model to simulate the collapse phase of bubble near the solid wall in square flume. The model is characterized by coupling with the CarnahanStarling equation of state (C-S EOS) and the exact difference method (EDM) in the forcing term treatment
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