Direct Numerical Simulation of Capillary Rise in Microtubes with Different Cross-Sections
Dongdong Wang, Pengjie Liu, Jinxin Wang, Xiangjun Bao, Huaqiang Chu
School of Energy and Environment, Anhui University of Technology, Ma'anshan 243002, China
Received: November 18, 2018; in final form February 26, 2019
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The interface migration of capillary rise in porous media is a complicated problem. The Lucas-Washburn equation provides the relation between the height and the time in early stage with small height, and some restrictions are introduced in this equation. However, with the development of experiments and simulations, the impact of shapes and dynamic contact angle on capillary rise can be carried out from microscopic view. In this paper, a multiphase lattice Boltzmann model is applied to simulate the capillary rise in microtubes with different cross-sections. Through the simulations of three-dimensional capillary rise, the effect of the cross-section shapes on the equilibrium height is compared, and the contact angle hysteresis is found in the angular capillary tubes, that the contact angle of the main terminal meniscus in equilibrium height is larger than the static contact angle.

DOI:10.12693/APhysPolA.135.532
topics: capillary rise, different cross-sections, deformed interface, contact angle hysteresis