Trapped liquid drop in a microchannel: Multiple stable states

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Title:	Trapped liquid drop in a microchannel: Multiple stable states
Authors:	曹恆光;Wang, Zhengjia;Chang, Cheng-Chung;Hong, Siang-Jie;Sheng, Yu-Jane;Tsao, Heng-Kwong
Contributors:	工學院化學工程與材料工程學系
Keywords:	Computer Simulation;Microfluidics - methods;Models, Chemical;Models, Molecular;Nanopores - ultrastructure;Phase Transition;Rheology - methods;Solutions - chemistry;Wettability
Date:	2013-06-03
Issue Date:	2026-04-21 14:11:02 (UTC+8)
Publisher:	American Physical Society;United States
Abstract:	摘要： A liquid drop trapped in a microchannel, in which both contact angle (wettability) and opening angle (geometry) can vary with position, is investigated based on the minimization of free energy. The calculus of variation yields the Young-Laplace equation and its further integration leads to the general force balance. The equilibrium position of the trapped drop is determined by the balance between the area-mean capillary force and the area-mean hydrostatic pressure difference. Trapped liquid drops in truncated cones and hyperboloids are studied to elucidate our theory. As the volume of the drop trapped in the hydrophilic cones is increased, four regimes separated by three critical volumes are identified. The drop is either trapped at the narrow end or away from the cone top. The solution at the cone top satisfies the force balance by adjusting the upper contact angle, which is experimentally observed and verified by Surface Evolver (SE) simulations. Multiple stable states can exist in a particular regime. The hyperboloid tube in which the opening angle varies with position is also considered. As the gravitational strength is increased in hydrophilic hyperboloid, four regimes separated by three critical gravitational strengths are identified. The drop is either trapped near the neck or below the neck. Unlike hydrophilic cones, the drop stays near the neck of the hyperboloid due to varying opening angles. Multiple stable states are also observed. For both cone and hyperboloid, hydrophobic cases are studied as well and all theoretical solutions of the force balance agree well with SE simulation outcomes. 其他題名： Phys Rev E Stat Nonlin Soft Matter Phys 出版者： United States 出版日期： 2013-06 出處： Physical review. E, Statistical, nonlinear, and soft matter physics, 2013-06, Vol.87 (6), p.062401, Article 062401 識別號： ISSN: 1539-3755 識別號： ISSN: 1550-2376 識別號： EISSN: 1550-2376 識別號： DOI: 10.1103/PhysRevE.87.062401 識別號： PMID: 23848691
Appears in Collections:	[Department of Chemical and Materials Engineering] journal & Dissertation

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