NUMERICAL SIMULATION OF BUBBLE DYNAMICS IN COMPRESSIBLE FLUID

Wang Shiping; Sun Shili; Zhang Aman; Chen Yu

doi:10.6052/0459-1879-2012-3-20120307

Volume 44 Issue 3

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Wang Shiping, Sun Shili, Zhang Aman, Chen Yu. NUMERICAL SIMULATION OF BUBBLE DYNAMICS IN COMPRESSIBLE FLUID[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (3): 513-519. doi: 10.6052/0459-1879-2012-3-20120307

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Wang Shiping, Sun Shili, Zhang Aman, Chen Yu. NUMERICAL SIMULATION OF BUBBLE DYNAMICS IN COMPRESSIBLE FLUID[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (3): 513-519. doi: 10.6052/0459-1879-2012-3-20120307

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NUMERICAL SIMULATION OF BUBBLE DYNAMICS IN COMPRESSIBLE FLUID

doi: 10.6052/0459-1879-2012-3-20120307

College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China

Funds: The project was supported by the State Key Program of National Natural Science Foundation of China (50939002), National Natural Science Foundation of China--NSAF (10976008), the National Natural Science Foundation of China (50779007), the 12th Fok Ying Tung Education Foundation, China (121073) and Program for New Century Excellent Talents in University (NCET- 10-0054)

Received Date: 2011-06-20
Rev Recd Date: 2011-11-30
Publish Date: 2012-05-18

Abstract

Abstract

Most studies on bubble dynamics adopting the boundary element method (BEM) were based on the incompressible potential flow theory, and the motion and deformation of a bubble in a compressible liquid was rarely studied by using BEM. An approximate theory is developed for a nonlinear and non-spherical bubble in a compressible fluid by using the doubly asymptotic approximation method. Wave equation is approximated in the early and late stages, respectively, resulting in the so-called local and global approximation equations. Matching between these two equations provides the model for the non-spherical bubble behavior in a compressible fluid domain. The numerical model is validated against the Prospertti & Lezzi equation for spherical bubbles in weakly compressible liquids with excellent agreement being obtained for the bubble radius evolution up to the second oscillation. Both numerical result and theoretical analysis show that the maximum radius decreases as the bubble oscillates. Numerical analyses are further performed for non-spherical oscillating bubbles. Bubble evolution and jet formation are simulated. Compared with that of the incompressible model, the jet velocity in the present model is smaller. Bubble oscillation near a solid boundary is further simulated based on the present model.
- compressible fluid,
- bubble,
- boundary element method

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References(19)

References

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