The interface configuration in two-phase stratified pipe flows

Dimitri Gorelik; Neima Brauner

doi:10.1016/S0301-9322(99)00038-5

The interface configuration in two-phase stratified pipe flows

Dimitri Gorelik, Neima Brauner^*

^*Corresponding author for this work

School of Mechanical Engineering

Tel Aviv University

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

51 Scopus citations

Abstract

Exact analytical solution is obtained for the interface shape between two immiscible fluids and for the capillary pressure in the case of unidirectional axial laminar pipe flow. The solution is determined by three dimensionless parameters: the holdup, fluid/wall wettability angle and the Eotvos number, Eo = Δρg cos αR²/σ₁₂. The ranges of parameter values, for which the model of flat interface (Eo→∞), or models of constant interfacial curvature can be applied, are explored. Finally, the implications to modeling of stratified flow characteristics and stability are discussed.

Original language	English
Pages (from-to)	977-1007
Number of pages	31
Journal	International Journal of Multiphase Flow
Volume	25
Issue number	6-7
DOIs	https://doi.org/10.1016/S0301-9322(99)00038-5
State	Published - Sep 1999

Keywords

Contact angle
Curvature
Interface
Stratified flow
Surface tension
Wettability

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10.1016/S0301-9322(99)00038-5

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abstract = "Exact analytical solution is obtained for the interface shape between two immiscible fluids and for the capillary pressure in the case of unidirectional axial laminar pipe flow. The solution is determined by three dimensionless parameters: the holdup, fluid/wall wettability angle and the Eotvos number, Eo = Δρg cos αR2/σ12. The ranges of parameter values, for which the model of flat interface (Eo→∞), or models of constant interfacial curvature can be applied, are explored. Finally, the implications to modeling of stratified flow characteristics and stability are discussed.",

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AU - Brauner, Neima

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AB - Exact analytical solution is obtained for the interface shape between two immiscible fluids and for the capillary pressure in the case of unidirectional axial laminar pipe flow. The solution is determined by three dimensionless parameters: the holdup, fluid/wall wettability angle and the Eotvos number, Eo = Δρg cos αR2/σ12. The ranges of parameter values, for which the model of flat interface (Eo→∞), or models of constant interfacial curvature can be applied, are explored. Finally, the implications to modeling of stratified flow characteristics and stability are discussed.

KW - Contact angle

KW - Curvature

KW - Interface

KW - Stratified flow

KW - Surface tension

KW - Wettability

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The interface configuration in two-phase stratified pipe flows

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Keywords

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