SUN Tao, PANG Mingjun, FEI Yang. Effects of Bubble Spacings on Interface Properties and Wake Flow for 2 Contaminated Spherical Bubbles[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1157-1170. doi: 10.21656/1000-0887.410099
Citation: SUN Tao, PANG Mingjun, FEI Yang. Effects of Bubble Spacings on Interface Properties and Wake Flow for 2 Contaminated Spherical Bubbles[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1157-1170. doi: 10.21656/1000-0887.410099

Effects of Bubble Spacings on Interface Properties and Wake Flow for 2 Contaminated Spherical Bubbles

doi: 10.21656/1000-0887.410099
Funds:  The National Natural Science Foundation of China(51376026)
  • Received Date: 2020-04-06
  • Rev Recd Date: 2020-05-22
  • Publish Date: 2020-10-01
  • To understand the influence of the interaction between contaminated bubbles on the hydrodynamic characteristics, with a surfactant as the contamination medium, the interface parameters, the flow field and the wake characteristics of bubbles with different spacings were investigated with the improved stagnation cap model. A stably contaminated interface was formed through solution of the adsorption and desorption equations between the bubble interface and the fluid zone, and in view of the influence of the local flow and the Marangoni effect. The Langmuir equation was used to correlate the shear stress with the surfactant concentration of the interface to evaluate the bubble interface shear stress. The results indicate that, the change of the bubble spacing cannot significantly influence the interface parameters of bubble 1, but has great effects on those of bubble 2. The wake vortex of bubble 1 approaches the upstream interface of bubble 2, which changes the interface parameters of bubble 2. The influence of the wake vortex on the surfactant distribution on the interface of bubble 2 is different from that of the convection, which can drag the surfactant on the downstream interface of bubble 2 back to the upstream one, thus changing the distribution trend of the interface parameters of bubble 2, and there appear low and highinfluence stages. The vortex length and the vertical position of the vortex center of bubble 1 depend on the interface concentration on the upstream interface of bubble 2 and the bubble spacing. The vortex parameters of bubble 2 decrease with its interface concentration on the upstream interface till zero.
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