Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (6): 701-716.doi: https://doi.org/10.1007/s10483-012-1581-9

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Numerical simulation of trajectory and deformation of bubble in tip vortex

倪宝玉1, 张阿漫1, 姚熊亮1, 汪斌2   

  1. 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, Sichuan Province, P. R. China
  • 收稿日期:2011-06-15 修回日期:2012-03-01 出版日期:2012-06-10 发布日期:2012-06-10
  • 基金资助:

    Project supported by the Key Program of National Natural Science Foundation of China (No. 50939002), the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (No. 10976008), and the National Defense Basic Scientific Research Program of China (No.B2420110011)

Numerical simulation of trajectory and deformation of bubble in tip vortex

Bao-yu NI1, A-man ZHANG1, Xiong-liang YAO1, Bin WANG2   

  1. 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
    2. National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, Sichuan Province, P. R. China
  • Received:2011-06-15 Revised:2012-03-01 Online:2012-06-10 Published:2012-06-10
  • Contact: A-man ZHANG E-mail:amanzhang@gmail.com
  • Supported by:

    Project supported by the Key Program of National Natural Science Foundation of China (No. 50939002), the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (No. 10976008), and the National Defense Basic Scientific Research Program of China (No.B2420110011)

摘要: According to the behaviors of a bubble in the ship wake flow, the numerical simulation is divided into two stages, quasi-spherical motion and non-spherical motion, based on whether the bubble is captured by the vortex or not. The one-way coupled particle tracking method (PTM) and the boundary element method (BEM) are adopted to simulate these two stages, respectively. Meanwhile, the initial condition of the second stage is taken as the output of the first one, and the entire simulation is connected and completed. Based on the numerical results and the published experimental data, the cavitation inception is studied, and the wake bubble is tracked. Besides, the split of the bubble captured by the vortex and the following sub-bubbles are simulated, including motion, deformation, and collapse. The results provide some insights into the control on wake bubbles and optimization of the wake flow.

Abstract: According to the behaviors of a bubble in the ship wake flow, the numerical simulation is divided into two stages, quasi-spherical motion and non-spherical motion, based on whether the bubble is captured by the vortex or not. The one-way coupled particle tracking method (PTM) and the boundary element method (BEM) are adopted to simulate these two stages, respectively. Meanwhile, the initial condition of the second stage is taken as the output of the first one, and the entire simulation is connected and completed. Based on the numerical results and the published experimental data, the cavitation inception is studied, and the wake bubble is tracked. Besides, the split of the bubble captured by the vortex and the following sub-bubbles are simulated, including motion, deformation, and collapse. The results provide some insights into the control on wake bubbles and optimization of the wake flow.

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