Numerical simulation of the flow of highly viscous drops down a tapered tube.
Numerical simulation of the flow of highly viscous drops down a tapered tube.
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高粘性液滴沿锥形管流动的数值模拟。
DOI：
10.1115/1.2895716
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Hochmuth,RM
中科院分区：
文献类型：
--
作者：
Tran-Son-Tay,R;Kirk3rd,TF;Zhelev,DV;Hochmuth,RM
根据牛顿液滴模型，用变分法同时求解了低雷诺数流的流体动力学方程和膜张力恒定时的膜平衡方程，分析了高粘性液滴在锥形管内被无粘性流体包围的流动。结果表明，端盖内的流动是堵塞的，在水滴锥形截面内呈径向流动。结果与作出这些假设的简化分析理论进行了比较。这两种方法非常吻合。这两种方法都用于分析已有的被动中性粒细胞沿锥形管流动的实验结果。理论模型与Bagge et al.（1977）发表的实验数据非常吻合，在驱动压力为20和40 mm H2O，膜皮质张力为0.024 dyn/cm，表观细胞质粘度分别约为2400和1400泊时。
The flow of a highly viscous drop surrounded by an inviscid fluid inside a tapered tube is analyzed according to a Newtonian, liquid-drop model in which a variational method is used to simultaneously solve the hydrodynamic equations for low Reynolds-number flow and the equations for membrane equilibrium with a constant membrane tension. It is found that the flow in the end caps is plug and radial in the conical section of the drop. The results are compared to a simplified analytical theory that makes these assumptions. Very good agreement is found between the two approaches. Both approaches are used to analyze existing experimental results of passive neutrophils flowing down a tapered tube. The theoretical models give a good fit to published experimental data by Bagge et al. (1977) at driving pressures of 20 and 40 mm H2O for a membrane cortical tension of 0.024 dyn/cm and an apparent cytoplasmic viscosity of about 2400 and 1400 poise, respectively.