论文标题
液层流的1D模型，锥形微通道中具有大雷诺数
A 1D model of liquid laminar flows with large Reynolds numbers in tapered microchannels
论文作者
论文摘要
在本文中，我们在锥形圆形和矩形通道中构建了一种新型的微流体层流的新型微流体层流流，假设在通道中流动的流动完全开发。在模型中，我们考虑了遵守和动态压力项。该模型可用于各种流量：从纯毛细管流动方式，毛细管力是通道中液体的主要驱动力到外部压力流动方案，在该方案中，在该方案中，在通道入口处施加到液体的外部压力大于通道中的毛细管压力大得多，因此可以忽略毛细管力的毛细管。我们将模型应用于矩形Y形连接处，在该连接处，基本通道连接到储层，端通道暴露于大气中。我们表明，在不对称的Y形连接处，可能会有一段时间弯面后被捕，其中只有两个频道中有一个填充较小的频道中的一个，另一个频道（另一个具有较大半径）被逮捕。半月板停滞时间随着施加的外部压力的增加而减少。当这种压力变得足够大时，弯月面会消失。但是，如果末端通道的半径之比很大，则没有出现半月板停滞，因为较小半径的通道中的流动阻力大于较大半径的通道中，因此不能因这些通道中表面张力压力的差异而停止更宽的通道中的初始流动。在本文中，我们还研究了模型中假定的全面流动近似的适用性。
In this article, we construct a novel 1D-model of microfluidic laminar flows in tapered circular and rectangular channels assuming the flow in channels fully developed. In the model, we take into account the inertance and dynamic pressure terms. The model can be used for a wide range of flows: from the pure capillary flow regime, where the capillary forces are the main driver of the liquid in the channel, to the external pressure flow regime where the external pressure applied to the liquid at the entrance to the channel is much larger than the capillary pressure in the channel, so that the capillary force can be ignored. We apply the model to rectangular Y-shape junctions, where the base channel is connected to a reservoir and the end channels are exposed to atmospheric air. We show that, in asymmetric Y-shape junctions, there can be a time of meniscus arrest, where only one of the two channels with a smaller radius fills, and, the other one, with a larger radius, is arrested. The time of meniscus arrest decreases with an increase in the applied external pressure; when this pressure becomes large enough, the meniscus arrest disappears. However, if the ratio of the radii of the end channels is large, the meniscus arrest does not appear because the flow resistance in the channel with the smaller radius is much large than in the channel with the larger radius so that the initial flow in the wider channel cannot be stopped by the differences in the surface tension pressures in these channels. In this article, we also investigate the applicability of the fully developed flow approximation assumed in the model.
