|
1
|
Hsiao CT, Choi JK, Singh S, Chahine GL, Hay TA, Ilinskii YA, Zabolotskaya EA, Hamilton MF, Sankin G, Yuan F, Zhong P. Modelling single- and tandem-bubble dynamics between two parallel plates for biomedical applications. J Fluid Mech 2013; 716:10.1017/jfm.2012.526. [PMID: 24293683 PMCID: PMC3843546 DOI: 10.1017/jfm.2012.526] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/06/2023]
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.
Collapse
Affiliation(s)
- C.-T. Hsiao
- Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
- correspondence:
| | - J.-K. Choi
- Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
| | - S. Singh
- Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
| | - G. L. Chahine
- Dynaflow, Inc., 10621-J Iron Bridge Rd., Jessup, MD 20794, USA
| | - T. A. Hay
- Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
| | - Yu. A. Ilinskii
- Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
| | - E. A. Zabolotskaya
- Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
| | - M. F. Hamilton
- Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78713, USA
| | - G. Sankin
- Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
| | - F. Yuan
- Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
| | - P. Zhong
- Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, NC 27708, USA
| |
Collapse
|
|
2
|
Abstract
A one-dimensional model has recently been developed for the analysis of nonlinear standing waves in an acoustical resonator. This model is modified to include energy losses in the boundary layer along the resonator wall. An investigation of the influence of the boundary layer on the acoustical field in the resonator and on the energy dissipation in the resonator is conducted. The effect of the boundary layer is taken into account by introducing an additional term into the continuity equation to describe the flow from the boundary layer to the volume. A linear approximation is used in the development of the boundary layer model. In addition to the viscous attenuation in the boundary layer, the effect of acoustically generated turbulence is modeled by an eddy viscosity formulation. Calculatons of energy losses and a quality factor of a resonator are included into the numerical code. Results are presented for resonators of three different geometries: a cylinder, a horn cone, and a bulb-type resonator. A comparison of measured and predicted dissipation shows good agreement.
Collapse
|