Interaction between encapsulated microbubbles: A finite element modelling study*

Projects supported by the National Natural Science Foundation of China (Grant Nos. 11474161, 11474001, 116741731, 1774166, 11774168, 81527803, 81627802, and 81420108018), the Fundamental Research Funds for the Central Universities, China (Grant No. 020414380109, and the Qing Lan Project, China.

Cai Chen-Liang1, Yu Jie1, Tu Juan1, †, Guo Xia-Sheng1, Huang Pin-Tong2, Zhang Dong1, 3, ‡
       

Temporal evolution of the two bubble radii (see (a) and (b), respectively), and (c) bubble–bubble distance. Inset shows a magnified part of the curve, enveloped in a dashed circle. Initial bubble radii are R1(0) = 1.5 μm and R2(0) = 4.0 μm, respectively. Acoustic driving parameters are f = 2.4 MHz, pmax = 0.05 MPa, f10 = 3.7 MHz, and f20 = 1.0 MHz.