Abstract

The dynamics of a toroidal bubble splitting near a rigid wall in an inviscid incompressible fluid is studied in this paper. The boundary integral method is adopted to simulate the bubble motion. After the jet impact, the vortex ring model is used to handle the discontinued potential of the toroidal bubble. When the toroidal bubble is splitting, topology changes are made tear the bubble apart. Then, the vortex ring model is extended to multiple vortex rings to simulate the interaction between two toroidal bubbles. A typical case is discussed in this study. Besides, the velocity fields and pressure contours surrounding the bubble are used to illustrate the numerical results. An annular high pressure region is generated at the splitting location, and the maximum pressure may be much higher than the jet impact. More splits may happen after the first split.

Highlights

  • The dynamic behavior of a bubble near a wall has been studied for nearly a century

  • Since the pre-toroidal bubble dynamics have been studied in many literatures, which are not discussed in this study

  • An annular high pressure region is generated at the splitting location, and the maximum pressure reaches about 270, which is much larger than the pressure caused by the main jet impact

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Summary

Introduction

The dynamic behavior of a bubble near a wall has been studied for nearly a century. there still remain some mechanisms not revealed due to the extremely rapid and complicated unsteady flow phenomena. The bubble jet impact was used to reveal the mechanism of damage to hydraulic machinery by cavitation, as well as damage to vessels by an underwater explosion bubble[2]. This is an Open Access article published by World Scientific Publishing Company. We adopt the boundary integral method (BIM) to simulate the bubble motion near a wall, and the vortex ring model is used to handle the discontinued potential of the toroidal bubble[2]. The pressure in the flow field is calculated by an auxiliary function[5]

Theory and numerical method
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