### Abstract

Microbubbles are expected to be applied for ultrasonic therapy. In this research, considering two neighboring bubbles, we added to the Rayleigh-Plesset equation the term of nonlinear influence corresponding to pressure change caused by the neighboring bubbleâTMs oscillation, and numerical simulation was performed. It is known that the natural frequency of a microbubble decreases with increasing the bubblesâTM density. This fact agrees with our analytical prediction based on the Rayleigh-Plesset equation. Further, the natural frequency also depends on the diameter ratio of the two bubbles. Our numerical results show that superharmonic response reaches a peak at some distance between bubbles when they are driven at half their resonance frequency with their ratio of the natural frequency being two to one. Numerical simulation also shows that if the two bubbles of the same size exist at a close distance, the occurrence region of the subharmonics is larger than that of a single bubble.

Original language | English |
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Title of host publication | Proceedings of the ASME Design Engineering Technical Conference |

Pages | 553-558 |

Number of pages | 6 |

Volume | 1 |

Edition | PARTS A AND B |

DOIs | |

Publication status | Published - 2012 |

Event | ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States Duration: 2012 Aug 12 → 2012 Aug 12 |

### Other

Other | ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 |
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Country | United States |

City | Chicago, IL |

Period | 12/8/12 → 12/8/12 |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering
- Computer Graphics and Computer-Aided Design
- Computer Science Applications
- Modelling and Simulation

### Cite this

*Proceedings of the ASME Design Engineering Technical Conference*(PARTS A AND B ed., Vol. 1, pp. 553-558) https://doi.org/10.1115/DETC2012-70782

**Nonlinear dynamical interaction between insonified microbubbles.** / Tsuruoka, Akira; Kubo, Hiroki; Sugiura, Toshihiko.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the ASME Design Engineering Technical Conference.*PARTS A AND B edn, vol. 1, pp. 553-558, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012, Chicago, IL, United States, 12/8/12. https://doi.org/10.1115/DETC2012-70782

}

TY - GEN

T1 - Nonlinear dynamical interaction between insonified microbubbles

AU - Tsuruoka, Akira

AU - Kubo, Hiroki

AU - Sugiura, Toshihiko

PY - 2012

Y1 - 2012

N2 - Microbubbles are expected to be applied for ultrasonic therapy. In this research, considering two neighboring bubbles, we added to the Rayleigh-Plesset equation the term of nonlinear influence corresponding to pressure change caused by the neighboring bubbleâTMs oscillation, and numerical simulation was performed. It is known that the natural frequency of a microbubble decreases with increasing the bubblesâTM density. This fact agrees with our analytical prediction based on the Rayleigh-Plesset equation. Further, the natural frequency also depends on the diameter ratio of the two bubbles. Our numerical results show that superharmonic response reaches a peak at some distance between bubbles when they are driven at half their resonance frequency with their ratio of the natural frequency being two to one. Numerical simulation also shows that if the two bubbles of the same size exist at a close distance, the occurrence region of the subharmonics is larger than that of a single bubble.

AB - Microbubbles are expected to be applied for ultrasonic therapy. In this research, considering two neighboring bubbles, we added to the Rayleigh-Plesset equation the term of nonlinear influence corresponding to pressure change caused by the neighboring bubbleâTMs oscillation, and numerical simulation was performed. It is known that the natural frequency of a microbubble decreases with increasing the bubblesâTM density. This fact agrees with our analytical prediction based on the Rayleigh-Plesset equation. Further, the natural frequency also depends on the diameter ratio of the two bubbles. Our numerical results show that superharmonic response reaches a peak at some distance between bubbles when they are driven at half their resonance frequency with their ratio of the natural frequency being two to one. Numerical simulation also shows that if the two bubbles of the same size exist at a close distance, the occurrence region of the subharmonics is larger than that of a single bubble.

UR - http://www.scopus.com/inward/record.url?scp=84884661625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884661625&partnerID=8YFLogxK

U2 - 10.1115/DETC2012-70782

DO - 10.1115/DETC2012-70782

M3 - Conference contribution

AN - SCOPUS:84884661625

SN - 9780791845004

VL - 1

SP - 553

EP - 558

BT - Proceedings of the ASME Design Engineering Technical Conference

ER -