scholarly journals Correction to: One-dimensional drift-flux correlations for two-phase flow in medium-size channels

Author(s):  
Takashi Hibiki

The article “One-dimensional drift-flux correlations for two-phase flow in medium-size channels” written by Takashi Hibiki, was originally published electronically on the publisher’s internet portal (currently SpringerLink) on 17 April 2019 without open access. After publication in Volume 1, Issue 2, page 85–100, the author(s) decided to opt for Open Choice and to make the article an open access publication. Therefore, the copyright of the article has been changed to © The Author(s) 2020 and the article is forthwith distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

2012 ◽  
Vol 40 ◽  
pp. 166-177 ◽  
Author(s):  
Shao-Wen Chen ◽  
Yang Liu ◽  
Takashi Hibiki ◽  
Mamoru Ishii ◽  
Yoshitaka Yoshida ◽  
...  

Author(s):  
Takashi HIBIKI ◽  
Hiroshi GODA ◽  
Seungjin KIM ◽  
Mamoru ISHII ◽  
Jennifer UHLE

Author(s):  
Rinaldo Antonio de Melo Vieira ◽  
Artur Posenato Garcia

One-dimensional single-phase flow has only one characteristic velocity, which is the area-averaged velocity. On the other hand, one-dimensional two-phase flow has several characteristics velocities, such as center of volume mixture velocity and center of mass mixture velocity. Under slip condition, usually they are quite different. In a simple way, one may think that the petroleum correlations and the drift-flux model are an attempt to “adapt” the single-phase momentum equation for a mixture of more than one phase, where the several parameters in the single-phase equation are replaced by average-mixture ones. These two models use different considerations for this “adaptation”. For instance, for friction loss calculation, petroleum correlations use the mixture volume velocity while drift-flux models use the mixture mass velocity. Normally, the volume velocity is higher than the mass velocity, and petroleum correlations may calculate friction gradients higher than the ones obtained by drift-flux models. This is very important, especially for horizontal and slightly inclined upward flows, where the friction pressure gradient is dominant. This work compares the pressure gradient evaluated by these two models for horizontal and slightly inclined upward flowlines using available data found in literature. The comparison shows that, depending on the situation, one model gives better results than the other. Based on the results, a new approach for two-phase flow friction calculation is proposed. The new model represents a combination of the approach used by the Petroleum Correlations and the Drift-Flux Model, using different characteristic velocities (volume, mass and a new one defined by the authors). The new model is very simple to implement and shows good agreement with the tested data.


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