Abstract

In this paper, the lattice Boltzmann pseudo-potential model coupled the Carnahan–Starling (C-S) equation of state and Li’s force scheme are used to study the collapse process of cavitation bubbles near the concave wall. It mainly includes the collapse process of the single and double cavitation bubbles in the near-wall region. Studies have shown that the collapse velocity of a single cavitation bubble becomes slower as the additional pressure reduces, and the velocity of the micro-jet also decreases accordingly. Moreover, the second collapse of the cavitation bubble cannot be found if the additional pressure reduces further. When the cavitation bubble is located in different angles with vertical direction, its collapse direction is always perpendicular to the wall. If the double cavitation bubbles are arranged vertically, the collapse process of the upper bubble will be quicker, as the relative distance increases. When the relative distance between the bubbles is large enough, no second collapse can be found for the upper bubble. On the other hand, when two cavitation bubbles are in the horizontal arrangement, the suppression effect between cavitation bubbles decreases as the relative distance between the bubbles increases and the collapse position of cavitation bubbles moves from the lower part to the upper part.

Highlights

  • Cavitation is common in hydraulic and marine engineering, such as in water turbines and ship propellers [1]

  • The pseudo-potential lattice Boltzmann method (LBM) combining a multiple relaxation time (LBMMRT) [15,24] and the external force scheme proposed by Li et al Ref. [17] will be used

  • The model is used to simulate the collapse process of cavitation bubbles near the concave wall. It includes the cases of different additional pressures and angles with vertical direction, as well as double cavitation bubbles with vertical and horizontal arrangements

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Summary

Introduction

Cavitation is common in hydraulic and marine engineering, such as in water turbines and ship propellers [1] It may cause great damage on the surrounding structures when the cavitation bubbles collapse in the near-wall region [2]. Tomita et al and Howison et al used the Boundary integral method (BIM) to simulate the collapse process of cavitation bubbles in the near-wall region [9,11]. Sagar and Moctar used the volume-of-fluid method to study the collapse process of cavitation bubbles in the near-wall region considering the phase transition [13]. The LBM pseudo-potential model will be used to simulate the collapse process of cavitation bubbles near the concave wall. The evolution of the pressure field, the characteristic point pressure, and the micro-jet will be discussed in detail

Pseudo-Potential LBM-MRT
Model Validation
Collapse
Evolution of the Single Bubble under Different Additional Pressures
Pressure field collapseCases
Evolution of the Single Bubble in Different Angles with Vertical Direction
Evolution
Evolution of the Double Bubbles with Horizontal Arrangement
Findings
Discussion
Conclusions
Full Text
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