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Surfaces with hierarchical micro/nanoscale structures result in unique flow characteristics in nature. The validity of the classical Lucas–Washburn equation has been argued for the capillary-driven fl...ow in open rectangular microchannels. Meanwhile, there is no guarantee that the Lucas–Washburn equation is valid for the capillary-driven flow in hierarchical microchannels. Here, we perform 3D numerical simulations using the OpenFOAM Volume-of-Fluid method to predict the capillary-driven flow of water in a closed hierarchical microchannel. It is found that the imbibition rate is increased in the hierarchical microchannel, and the mean imbibition rate shows a dependence on the height of minor channel. Consequently, an optimized hierarchical channel geometry has been proposed to improve the capillary flow in microchannels.続きを見る
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