Phase diagrams for two-phase flow in circular capillary tubes under the influence of a dynamic contact angle

Roland Glantz; Markus Hilpert

doi:10.1016/j.ijmultiphaseflow.2013.10.016

Phase diagrams for two-phase flow in circular capillary tubes under the influence of a dynamic contact angle

Roland Glantz, Markus Hilpert

Bloomberg School of Public Health

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	102-105
Number of pages	4
Journal	International Journal of Multiphase Flow
Volume	59
DOIs	https://doi.org/10.1016/j.ijmultiphaseflow.2013.10.016
State	Published - Feb 2014

Keywords

Capillary tube
Lucas-Washburn theory
Phase diagram

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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10.1016/j.ijmultiphaseflow.2013.10.016

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title = "Phase diagrams for two-phase flow in circular capillary tubes under the influence of a dynamic contact angle",

abstract = "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.",

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T1 - Phase diagrams for two-phase flow in circular capillary tubes under the influence of a dynamic contact angle

AU - Glantz, Roland

AU - Hilpert, Markus

PY - 2014/2

Y1 - 2014/2

N2 - 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.

AB - 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.

KW - Capillary tube

KW - Lucas-Washburn theory

KW - Phase diagram

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DO - 10.1016/j.ijmultiphaseflow.2013.10.016

M3 - Article

AN - SCOPUS:84889667634

SN - 0301-9322

VL - 59

SP - 102

EP - 105

JO - International Journal of Multiphase Flow

JF - International Journal of Multiphase Flow

ER -

Phase diagrams for two-phase flow in circular capillary tubes under the influence of a dynamic contact angle

Abstract

Keywords

ASJC Scopus subject areas

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