微流控中稳态自由表面形状的计算
Computing stationary free-surface shapes in microfluidics
摘要：
本文提出了一种计算任意体积力驱动的自由表面流动的有限元算法。该算法主要是针对微流体参数范围设计的，其中（i）雷诺数小，以及（ii）力驱动的压力和流场与表面张力竞争静止自由表面的形状。自由表面形状由有限元的边界表示，有限元根据相邻流体施加的应力移动。此外，表面倾向于使其自由能最小化，并通过调整其曲率来平衡表面处的法向应力。数值方法由两个交替步骤的迭代组成：在自由表面处具有滑移边界条件的规定域中的流体问题的解和由先前确定的压力场和速度场驱动的域的连续更新。...
英文摘要：
A finite-element algorithm for computing free-surface flows driven by arbitrary body forces is presented. The algorithm is primarily designed for the microfluidic parameter range where (i) the Reynolds number is small and (ii) force-driven pressure and flow fields compete with the surface tension for the shape of a stationary free surface. The free surface shape is represented by the boundaries of finite elements that move according to the stress applied by the adjacent fluid. Additionally, the surface tends to minimize its free energy and by that adapts its curvature to balance the normal stress at the surface. The numerical approach consists of the iteration of two alternating steps: The solution of a fluidic problem in a prescribed domain with slip boundary conditions at the free surface and a consecutive update of the domain driven by the previously determined pressure and velocity fields. ...
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
