Pressure of a viscous droplet squeezing through a short circular constriction: An analytical model
Pressure of a viscous droplet squeezing through a short circular constriction: An analytical model
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DOI：
10.1063/1.5045495
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发表时间：
2018-10-01
影响因子：
4.6
通讯作者：
Xu, Jie
中科院分区：
文献类型：
--
作者：
Zhang, Zhifeng;Drapaca, Corina;Xu, Jie
通过狭窄汇合的通道挤压的液滴模型在病理，芯片/滤清器/膜设计，药物输送等方面有许多应用。了解挤压过程的瞬态物理学在许多微流系统的设计和优化中很重要。但是，可用的模型通常会忽略液滴粘度的影响，它们通常通过求解Navier-Stokes方程来具有LOWNUMERICAL效率。在本研究中，我们开发了一个低维分析模型，以预测通过可接受的保真度和低计算成本挤压粘性液滴的压力。我们的方法如下。我们首先适应了Hagen-Poiseuille定律，以预测液滴挤压的粘度效应。接下来，我们获得仅由获得的曲率变化引起的额外压力的分析表达。最后，挤压压力考虑粘度和表面张力的一般表达。我们开发的分析模型与低雷诺数和低毛细管数的Navier-Stokes方程的数值解非常吻合。这些发现对工程和行业的未来应用具有根本的意义。由AIP出版出版。
The model of a droplet squeezed through a narrow-constricted channel has many applications in pathology, chip/filter/membrane design, drug delivery, etc. Understanding the transient physics of the squeezing process is important in the design and optimization of many micro flow systems. However, available models often ignore the influence of droplet viscosity, and they usually feature lownumerical efficiency by solving Navier-Stokes equations. In the present research, we developed a low-dimension analytical model to predict the pressure of squeezing a viscous droplet through a circular constricted channel with acceptable fidelity and low computational cost. Our approach is as follows. We first adapt the Hagen-Poiseuille law to predict the viscosity effect of droplet squeezing. Next, we obtain an analytical expression for the extra pressure caused by only the curvature change obtained. Finally, the general expression of squeezing pressure taking consideration of viscosity and surface tension is expressed. The analytical model we developed is in great agreement with the numerical solutions of the Navier-Stokes equation at a low Reynolds number and low capillary number. These findings have fundamental significance for future applications in engineering and industry. Published by AIP Publishing.