Li Longfei, Braun R J, Maki K L, Henshaw W D, King-Smith P E
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA.
School of Mathematical Sciences, Rochester Institute of Technology, Rochester, New York 14623, USA.
Phys Fluids (1994). 2014 May;26(5):052101. doi: 10.1063/1.4871714. Epub 2014 May 6.
We study tear film dynamics with evaporation on a wettable eye-shaped ocular surface using a lubrication model. The mathematical model has a time-dependent flux boundary condition that models the cycles of tear fluid supply and drainage; it mimics blinks on a stationary eye-shaped domain. We generate computational grids and solve the nonlinear governing equations using the OVERTURE computational framework. experimental results using fluorescent imaging are used to visualize the influx and redistribution of tears for an open eye. Results from the numerical simulations are compared with the experiment. The model captures the flow around the meniscus and other dynamic features of human tear film observed .
我们使用润滑模型研究了在可湿润的眼形眼表上有蒸发情况下的泪膜动力学。该数学模型具有一个随时间变化的通量边界条件，用于模拟泪液供应和排出的循环；它在一个固定的眼形区域上模拟眨眼。我们生成计算网格，并使用OVERTURE计算框架求解非线性控制方程。利用荧光成像的实验结果来可视化睁眼时泪液的流入和重新分布。将数值模拟结果与实验进行比较。该模型捕捉到了观察到的围绕泪液弯月面的流动以及人泪膜的其他动态特征。
