4.6 Article

Correlations and Asymptotic Behaviors of the Shape Parameters of Floating Bubbles Using an Improved Numerical Procedure

期刊

APPLIED SCIENCES-BASEL
卷 12, 期 4, 页码 -

出版社

MDPI
DOI: 10.3390/app12041804

关键词

floating bubble; shape parameter; Bond number; asymptotic relation; power law; Young-Laplace equation

资金

  1. Korea Institute of Energy Technology Evaluation and Planning (KETEP)
  2. Ministry of Trade, Industry and Energy (MOTIE) of the Republic of Korea [20208901010010]
  3. Korea Evaluation Institute of Industrial Technology (KEIT) [20208901010010] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

向作者/读者索取更多资源

An improved numerical procedure is used to study the correlations between the shape parameters and Bond numbers of floating bubbles, and their asymptotic relations. The proposed method is proven to be more precise and robust than conventional methods. In addition, the profile of floating bubbles and related parameters for different bubble sizes are presented.
An improved numerical procedure is used to present the correlations between the shape parameters and Bond numbers of floating bubbles for a wider range of Bond numbers (5 x 10(-5) < Bo < 5000) than the previously reported range of Bond numbers (0.003 < Bo < 241), and their asymptotic relations as Bo -> 0 and Bo -> infinity. The proposed method is proven to be more precise and robust than the conventional methods in comparison with previous numerical and experimental results. In addition, the profile of floating bubbles and the related parameters are presented for a wide range of bubble sizes. The shape parameters are divided into three distinct Bond number regions, and are fitted with a fifth-order polynomial as a function of Bond number on a log-log scale for each region. The parameters show two asymptotes, which can be expressed in a simple power law. In addition, the dimensionless maximum depth of the floating bubble is obtained as H = 0.7291015 when Bo = 4.755563. These correlations and asymptotic relations are expected to assist in the development of scale models of dynamic bubble-related phenomena such as bubble bursting.

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