1. Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China; 2. School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China; 3. Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University, Beijing 100191, China; 4. Beijing Advanced Innovation Center for Biomedical Engineering, Beihang University, Beijing 100191, China
Abstract Capillary filling in small length scale is an important process in nanotechnology and microfabrication. When one end of the tube or channel is sealed, it is important to consider the escape of the trapped gas. We develop a dynamic model on capillary filling in closed-end tubes, based on the diffusion-convection equation and Henry's law of gas dissolution. We systematically investigate the filling dynamics for various sets of parameters, and compare the results with a previous model which assumes a linear density profile of dissolved gas and neglect the convective term.
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