Lei Junjun, Cheng Feng, Li Kemin
State Key Laboratory of Precision Electronic Manufacturing Technology and Equipment, Guangdong University of Technology, Guangzhou 510006, China.
Guangzhou Key Laboratory of Non-traditional Manufacturing Technology and Equipment, Guangdong University of Technology, Guangzhou 510006, China.
Micromachines (Basel). 2020 Feb 26;11(3):240. doi: 10.3390/mi11030240.
While acoustic streaming patterns in microfluidic channels with rectangular cross-sections have been widely shown in the literature, boundary-driven streaming fields in non-rectangular channels have not been well studied. In this paper, a two-dimensional numerical model was developed to simulate the boundary-driven streaming fields on cross-sections of cylindrical fluid channels. Firstly, the linear acoustic pressure fields at the resonant frequencies were solved from the Helmholtz equation. Subsequently, the outer boundary-driven streaming fields in the bulk of fluid were modelled while using Nyborg's limiting velocity method, of which the limiting velocity equations were extended to be applicable for cylindrical surfaces in this work. In particular, acoustic streaming fields in the primary (1, 0) mode were presented. The results are expected to be valuable to the study of basic physical aspects of microparticle acoustophoresis in microfluidic channels with circular cross-sections and the design of acoustofluidic devices for micromanipulation.
虽然文献中已广泛展示了具有矩形横截面的微流体通道中的声流模式，但非矩形通道中的边界驱动流场尚未得到充分研究。本文建立了一个二维数值模型，以模拟圆柱形流体通道横截面上的边界驱动流场。首先，从亥姆霍兹方程求解共振频率下的线性声压场。随后，利用尼伯格极限速度法对流体主体中的外边界驱动流场进行建模，在本工作中，极限速度方程被扩展以适用于圆柱表面。特别地，给出了基模（1, 0）下的声流场。这些结果有望对研究具有圆形横截面的微流体通道中微粒子声泳的基本物理方面以及用于微操纵的声流体装置的设计具有重要价值。
