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Modelling single- and tandem-bubble dynamics between two parallel plates for biomedical applications

Published online by Cambridge University Press:  25 January 2013

C.-T. Hsiao ,
J.-K. Choi ,
S. Singh ,
G. L. Chahine ,
T. A. Hay ,
Yu. A. Ilinskii ,
E. A. Zabolotskaya ,
M. F. Hamilton ,
G. Sankin  and
F. Yuan
...Show all authors
C.-T. Hsiao*
Affiliation:
Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
J.-K. Choi
Affiliation:
Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
S. Singh
Affiliation:
Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
G. L. Chahine
Affiliation:
Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
T. A. Hay
Affiliation:
Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
Yu. A. Ilinskii
Affiliation:
Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
E. A. Zabolotskaya
Affiliation:
Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
M. F. Hamilton
Affiliation:
Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
G. Sankin
Affiliation:
Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
F. Yuan
Affiliation:
Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
P. Zhong
Affiliation:
Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
*
†Email address for correspondence: [email protected]
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Abstract

Carefully timed tandem microbubbles have been shown to produce directional and targeted membrane poration of individual cells in microfluidic systems, which could be of use in ultrasound-mediated drug and gene delivery. This study aims at contributing to the understanding of the mechanisms at play in such an interaction. The dynamics of single and tandem microbubbles between two parallel plates is studied numerically and analytically. Comparisons are then made between the numerical results and the available experimental results. Numerically, assuming a potential flow, a three-dimensional boundary element method (BEM) is used to describe complex bubble deformations, jet formation, and bubble splitting. Analytically, compressibility and viscous boundary layer effects along the channel walls, neglected in the BEM model, are considered while shape of the bubble is not considered. Comparisons show that energy losses modify the bubble dynamics when the two approaches use identical initial conditions. The initial conditions in the boundary element method can be adjusted to recover the bubble period and maximum bubble volume when in an infinite medium. Using the same conditions enables the method to recover the full dynamics of single and tandem bubbles, including large deformations and fast re-entering jet formation. This method can be used as a design tool for future tandem-bubble sonoporation experiments.

JFM classification

Biological Fluid Dynamics: Biological Fluid Dynamics Biological Fluid Dynamics: Biomedical flows Drops and Bubbles: Bubble dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 716 , 10 February 2013 , pp. 137 - 170
Copyright
©2013 Cambridge University Press

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