Journal of Advanced Marine Engineering and Technology

The Korean Society of Marine Engineering (한국마린엔지니어링학회)
권호 표지

Nonlinear Behaviors of a Gas-filled Bubble Oscillator with Large Amplitude of Excitation

큰 압력 진폭에 의해 구동되는 기포진동체의 비선형 거동 특성

  • 김동혁 (한국해양대학교 기계·정보공학부)
  • Published : 2002.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

The bubble model by Keller and Prosperetti is adapted to solve the nonlinear oscillation of a gas bubble. This formulation leads to accurate results since it introduces the energy equation instead of the polytropic assumption for the bubble interior. The numerical method used in this study is stable enough to handle large amplitude of bubble oscillation. The numerical results show some interesting nonlinear phenomena fur the bubble oscillator. The excitation changes the natural frequency of the bubble and makes some harmonic resonances at $f/f_0=1/2, 1/3$ and so on. The natural frequency of a bubble oscillator decreases compared with the linear case result, which means that the nonlinear bubble oscillation system is a "softening"system. In addition, the frequency response curve jumps up or down at a certain frequency. It is also found that there exist multi-valued regions in the frequency response curve depending on the initial conditions of bubble. The dependency of the bubble motion on the initial condition can generate extremely large pressure and temperature which might be the cause of the acoustic cavitation and the sonoluminescence.inescence.

Keywords

References

  1. J. Acoust. Soc. Am v.68 Bubble oscillations in large amplitude J.B.Deller;M.J.Miksis https://doi.org/10.1121/1.384720
  2. Mag v.16 Mag M.Minnaert,Phil
  3. Proc. Phys. Soc. London. Sect. B63 Cavitation produced by ultrasonics B.E.Noltingk;E.A.Neppiras
  4. Physical Acoustics v.1 Physics of acoustic cavitaiton in liquids H.G.Flynn;W.P.Mason(ed)
  5. J. Acoust. Soc. Am. v.69 Acoustic cavitation prediction R.E.Apfel https://doi.org/10.1121/1.385939
  6. J. Acoust. Soc. Am v.59 Numerical investigation of nonlinear oscillations of gas bubbles in liquids W.Lauterborn https://doi.org/10.1121/1.380884
  7. J. Acoust. Soc. Am. v.83 no.2 Nonlivear bubble dynamics A.prsperetti https://doi.org/10.1121/1.396145
  8. J. Acoust.Soc. Am. v.101 Sonic effervescence: A tutorial on acoustic cavitation R.E.Apfel https://doi.org/10.1121/1.418130
  9. Ann. Rev. Fluid Mech. Bubble dynamics and cavitation M.S.Plesset
  10. J. Acoust. Soc. Am. v.101 Sonolumine-scence: An alternative 'electronydrodynamic' hypothesis T.Lepoint;D.D.Pauw;F.Lepoint-Mullie;M.Goldman;A.Goldman https://doi.org/10.1121/1.418242
  11. J. Acoust. Soc. Am. v.105 Effects of higher-order modes and harmonics. in single-bubble sonoluminescence F.B.Seeley https://doi.org/10.1121/1.426828
  12. J. Acoust. Soc. Am. v.107 Using phase space diagrams to interpret multiple frequency drive sonoluminescence J.A.Ketterling;R.E.Apfel https://doi.org/10.1121/1.428261
  13. J. Acoust. Soc. Korea. v.10 Nonlinear aspects of the frequency response of a gas-filled bubble ascillator D.H.Kim;J.T.Kim;Y.B.Lee
  14. 응용물리 v.4 강한 가진을 받는 기포진동에서의 Chaotic 거동 김동혁;임병덕;최병천;은희준
  15. J. Acoust. Soc. Am. v.85 no.4 Numerical integration methods in gas-bubble dynamics V.Kamath;A.Prosperetti https://doi.org/10.1121/1.397356
  16. Nonlinear oscillations Nonlinear oscillations A.H.Nayfeh;D.T.Mook