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Numerical study of the nonlinear dynamics of the acoustic drops and bubbles

IP.com Disclosure Number: IPCOM000128113D
Original Publication Date: 1999-Dec-31
Included in the Prior Art Database: 2005-Sep-14
Document File: 10 page(s) / 33K

Publishing Venue

Software Patent Institute

Related People

Su, Yu-Hsuan: AUTHOR [+3]

Related Documents

http://theses.mit.edu:80/Dienst/UI/2.0/Describe/0018.mit.theses/1999-153: URL

Abstract

The dynamics of liquid drops and bubbles held together by surface tension and perturbed by small disturbances is of great interest to many researchers. Its essential physical nature is characterized by a nonlinear moving-boundary problem complicated by the interfacial stress interaction between two domains, each governed by their own dynamical systems respectively.

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 This record is the front matter from a document that appears on a server at MIT and is used through permission from MIT. See http://theses.mit.edu:80/Dienst/UI/2.0/Describe/0018.mit.theses/1999-153 for copyright details and for the full document in image form.

Numerical Study of the Nonlinear Dynamics of the Acoustic Drops and Bubbles

by

Yu-Hsuan Su
B.S., Civil Engineering National Chung Hsing University, Taiwan(1987) S.M., Power Mechanical Engineering National Tsing Hua University, Taiwan(1989) S.M., Civil Engineering Massachusetts Institute of Technology (1994)

Submitted in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY at the Massachusetts Institute of Technology June 1999
SIGNATURE OF author: [[signature omitted]]

Department of Mechanical Engineering

June, 1999
CERTIFIED BY: [[SIGNATURE OMITTED]]

Zaichun Feng Associate Professor Thesis Supervisor
ACCEPTED BY: [[SIGNATURE OMITTED]]

Ain A. Sonin Chairman, Department Committee on Graduate Students ARCHIVES MASSACHUSETTS INSTITUTE OF TECHNOLOGY LIBRARIES JUL 12 1999

Massachusetts Institute of Technology Page 1 Dec 31, 1999

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Numerical study of the nonlinear dynamics of the acoustic drops and bubbles

Numerical Study of the Nonlinear Dynamics of the Acoustic Drops and Bubbles by Yu-Hsuan Su

Submitted to the Department of Mechanical Engineering on May 7, 1999, in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY

Abstract

The dynamics of liquid drops and bubbles held together by surface tension and perturbed by small disturbances is of great interest to many researchers. Its essential physical nature is characterized by a nonlinear moving-boundary problem complicated by the interfacial stress interaction between two domains, each governed by their own dynamical systems respectively.

In this thesis, the dynamics of an acoustically levitated drop is investigated. A low dimensional phase plane approach is used to interpret the nonlinear dynamics of the drop motions. It is found that the stability of shape oscillations imposes an upper limit on the acoustic bond number that can be used, while the lower limit is set by the stability of translational motion. The static equilibrium shapes can be obtained by incorporating the artificial damping into the system. The static equilibrium shapes thus found agree very well with the experimental data.

In addition, the two-to-one internal resonance of a single bubble between the volume mode and one of the shape modes is carefully examined. Instability wedges for unstable volume oscillations on the plane of volume oscillation amplitude versus frequency are identified numerically. Furthermore, the dynamical behaviors of the bubbles with parameters within the instability wedges can be divided into stable bubble oscillations and transient bubble oscillations. Attention is focused on the transient bubble oscillations. Numerical simulation shows that liquid jets form at the two poles...