Article ID Journal Published Year Pages File Type
667287 International Journal of Multiphase Flow 2014 4 Pages PDF
Abstract

•We develop phase diagrams for capillary flow according to the Lucas–Washburn theory.•The nonequilibrium Young force depends monotonically on the capillary number.•Ten flow scenarios (liquid infiltration or withdrawal) and three equilibria may occur.•The phase diagrams are two-dimensional.

We analyze theoretically gas–liquid flow in a circular capillary tube, the inlet of which is connected to a constant-pressure liquid reservoir. Based on previously derived analytical solutions, we present for the first time comprehensive, two-dimensional phase diagrams, which predict the flow scenario from only two nondimensional numbers: a nondimensional pressure and a nondimensional gravity parameter. Diagrams are developed for both a constant and a dynamic contact angle where in the latter case the nonequilibrium Young force depends monotonically on the capillary number. The diagrams subdivide the entire parameter space into regions that are associated with either liquid withdrawal, liquid infiltration, or metastable and stable equilibrium states.

Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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