Abstract The dynamics of a single rising bubble in the vicinity of a vertical wall is explored via three-dimensional numerical simulations. A finite volume method is used to solve the incompressible Navier–Stokes equations. The gas–liquid interface is reconstructed by volume-of-fraction (VOF) method. The trajectory, velocity, shape and vorticity of the bubble are analyzed in detail. The numerical results show that the presence of the wall imposes a repulsion on the bubble and that the bubble migrates away from the wall upon release. The onset of bubble path oscillation is found to occur earlier than for a freely rise counterpart and also at a lower Galilei number. Interestingly, we find that the vertical wall serves as a destabilizing factor in the wall-normal direction but a stabilizing factor in the spanwise direction. The increase of bubble inertia is discovered to enhance the influence of the wall. Furthermore, the bubble oscillations seem insensitive to the variation of the initial bubble-wall distance.

中文翻译：

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在垂直壁附近上升的初始球形气泡

摘要 通过三维数值模拟研究了垂直壁附近单个上升气泡的动力学。有限体积法用于求解不可压缩的 Navier-Stokes 方程。气液界面通过体积分数（VOF）方法重建。详细分析了气泡的轨迹、速度、形状和涡度。数值结果表明壁的存在对气泡施加了排斥力，并且气泡在释放时远离壁迁移。发现气泡路径振荡的开始发生得比自由上升的对应物更早，并且伽利莱数也更低。有趣的是，我们发现垂直墙在墙法线方向上是一个不稳定因素，但在展向方向上是一个稳定因素。发现气泡惯性的增加会增强壁的影响。此外，气泡振荡似乎对初始气泡壁距离的变化不敏感。