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Discussion on the pressure drop calculation for oil‐water separated flow using a one dimensional two‐fluid model
Author(s) -
Liu Nannan,
Wang Wei,
Liu Yingying,
Ma Liang,
Gong Jing
Publication year - 2019
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.23564
Subject(s) - pressure drop , mechanics , laplace pressure , contact angle , work (physics) , laplace's equation , materials science , drop (telecommunication) , shear stress , laplace transform , flow (mathematics) , turbulence , mathematics , thermodynamics , composite material , physics , engineering , surface tension , mathematical analysis , mechanical engineering , differential equation
The purpose of this work is to seek the key factors influencing the pressure drop calculation for oil‐water separated flow using a one dimensional two‐fluid model. Closure relations published for the two‐fluid model such as interface configuration, wall, and interfacial shear stress correlations are summarized. Interface configurations are established by numerically solving the Young‐Laplace equation, correlated with the Bond number, contact angle, and water holdup. Results show that the interface transforms from concave to convex with the enlargement of the contact angle and becomes flat as the Bond number increases. For the pressure drop calculation, a limited difference of predicted accuracy between the curve and flat interface is found. Discussions of both the wall and interfacial friction factor correlation on the pressure drop calculation are performed. In contrast to the effect of the interfacial friction factor, the correlation of the wall friction factor is found to have more contributions. We validate the prediction accuracy of different wall frictions factors using eight groups of published experiment results, and one correlation is recommended and being further extended.