Доступ предоставлен для: Guest
Multiphase Science and Technology

Выходит 4 номеров в год

ISSN Печать: 0276-1459

ISSN Онлайн: 1943-6181

SJR: 0.144 SNIP: 0.256 CiteScore™:: 1.1 H-Index: 24

Indexed in

STRUCTURE FORMATION IN ACOUSTIC CAVITATION

Том 17, Выпуск 4, 2005, pp. 343-371
DOI: 10.1615/MultScienTechn.v17.i4.30
Get accessGet access

Краткое описание

Bubble clouds forming in a liquid subject to a strong acoustic excitation, that is called acoustic cavitation, show a complicated slowly varying filamentary structure. This bubbly mixture represents a multiphase system whose physical origin is still not completely understood. Basic physical interactions in such bubbly liquid comprised of nonlinear bubble dynamics, Bjerknes and drag forces, interaction between bubbles, wave dynamics, etc. In the introduction section a brief overview of various theoretical approaches to this phenomenon is presented. The paper gives a systematic representation of particle model for describing the structure formation process in a bubbly liquid. In the framework of the particle model all bubbles are treated as interacting objects that move in the liquid.
A mathematical model for coupled, radial and translational, motion of a small spherical cavitation bubbles driven below its resonance frequency in a strong acoustic field (Pa > 1 bar, f = 20 kHz) is presented. Numerical analysis of the dynamics of a single bubble shows that, within the limits of harmonic resonances of the system, period-doubling bifurcations cascades with transitions to chaos and back to regular dynamics take place. A possible mechanism for the erratic dancing mode of bubble motion is proposed. Besides erratic dancing, the low-frequency quasi-periodic translational motion (periodic dancing) mode is observed at certain values of bubble radii. For a pair of interacting bubbles various dynamic modes are obtained: simple attraction, periodic motion and asymptotic motion, when the bubbles tend to take steady positions on a vertical line crossing the pressure antinode. In the last two cases bubbles do not coalesce, but are bound into couples, which cannot be predicted by a classic linear theory. This is explained by so-called giant response of small bubbles. Thus, the nonlinear effects can result in self-organization of bubble clouds. Structure formation processes in bubble clouds are simulated numerically. The characteristic bubble sizes in the structures, as well as dimension and shape of the structures are in qualitative agreement with the experimental observations.

ЦИТИРОВАНО В
  1. Yoshida Kenji, Fujikawa Takaaki, Watanabe Yoshiaki, Experimental investigation on reversal of secondary Bjerknes force between two bubbles in ultrasonic standing wave, The Journal of the Acoustical Society of America, 130, 1, 2011. Crossref

  2. Behnia S., Zahir H., Yahyavi M., Barzegar A., Mobadersani F., Observations on the dynamics of bubble cluster in an ultrasonic field, Nonlinear Dynamics, 72, 3, 2013. Crossref

  3. Lahey R.T., Taleyarkhan R.P., Nigmatulin R.I., Akhatov I.S., , 39, 2006. Crossref

  4. Aganin A. A., Guseva T. S., Effect of weak compressibility of a fluid on bubble-bubble interaction in strong acoustic fields, Fluid Dynamics, 45, 3, 2010. Crossref

  5. Aganin I. A., Davletshin A. I., Dynamics of Gas Bubbles in a Cluster under Their Pressure Rise, Lobachevskii Journal of Mathematics, 42, 9, 2021. Crossref

  6. Ma Yan, Zhang Guoqian, Ma Tao, Interaction of two bubbles with distortion in an acoustic field, Ultrasonics Sonochemistry, 84, 2022. Crossref

  7. Aganin I A, Davletshin A I, Dynamics of spherical gas bubbles in a cluster under an increase in the surrounding liquid pressure, Journal of Physics: Conference Series, 1923, 1, 2021. Crossref

  8. Davletshin A. I., Refined Model of Dynamics of Weakly Non-Spherical Bubbles with the Centers in a Straight Line, Lobachevskii Journal of Mathematics, 43, 5, 2022. Crossref

Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции Цены и условия подписки Begell House Контакты Language English 中文 Русский Português German French Spain