Applicability of the Momentum-Flux-Parameter Closure for the Two-Fluid Model to Slug Flow

2010 ◽  
Author(s):  
Raad I. Issa ◽  
Marco Montini ◽  
Liejin Guo ◽  
D. D. Joseph ◽  
Y. Matsumoto ◽  
...  
2013 ◽  
Vol 135 (12) ◽  
Author(s):  
A. O. Nieckele ◽  
J. N. E. Carneiro ◽  
R. C. Chucuya ◽  
J. H. P. Azevedo

In the present work, the onset and subsequent development of slug flow in horizontal pipes is investigated by solving the transient one-dimensional version of the two-fluid model in a high resolution mesh using a finite volume technique. The methodology (named slug-capturing) was proposed before in the literature and the present work represents a confirmation of its applicability in predicting this very complex flow regime. Further, different configurations are analyzed here and comparisons are performed against different sets of experimental data. Predictions for mean slug variables were in good agreement with experimental data. Additionally, focus is given to the statistical properties of slug flows such as shapes of probability density functions of slug lengths (which were represented by gamma and log-normal distributions) as well as the evolution of the first statistical moments, which were shown to be well reproduced by the methodology.


2000 ◽  
Author(s):  
Jin Ho Song ◽  
H. D. Kim

Abstract The dynamic character of a system of the governing differential equations for the one-dimensional two-fluid model, where the appropriate momentum flux parameters are employed to consider the velocity and void fraction distribution in a flow channel, is analyzed. In response to a perturbation in the form of a traveling wave, a linear stability analysis is performed for the governing differential equations. The analytical expression for the growth factor as a function of wave number, void fraction, drag coefficient, and relative velocity is derived. It provides the necessary and sufficient conditions for the stability of the one-dimensional two-fluid model in terms of momentum flux parameters. It is analytically shown that the one-dimensional two-fluid model is mathematically well posed by use of appropriate momentum flux parameters, while the conventional two-fluid model makes the system unconditionally unstable. It is suggested that the velocity and void distributions should be properly accounted for in the one-dimensional two-fluid model by use of momentum flux parameters.


2010 ◽  
Vol 2010 ◽  
pp. 1-19 ◽  
Author(s):  
Xia Wang ◽  
Xiaodong Sun

An interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the two-fluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid model with the IATE (named “two-fluid-IATE model” hereafter) using a characteristic analysis. The momentum flux parameters, which take into account the coupling of the volumetric fraction of phase and velocity distributions over the cross-section of a flow passage, are employed. A necessary condition for the system to achieve hyperbolicity under an adiabatic flow condition is identified. A case study is performed for an adiabatic liquid-liquid slug flow, which shows that the hyperbolicity of the two-fluid-IATE model is guaranteed if appropriate correlations of the momentum flux parameters are applied in the two-fluid-IATE model.


Author(s):  
J. N. E. Carneiro ◽  
A. O. Nieckele

At the present work a numerical analysis of the slug flow evolution along horizontal pipelines is performed, based on the Two-Fluid Model. For the statistically steady state regime, the slug characteristics, such as frequency, length and translational velocity are determined. An air and water two-phase fluid mixture is examined. The influence of the entrance liquid holdup is address. The frequency, translation velocity and length are compared with empirical correlations available in the literature with very good agreement.


Author(s):  
R. C. Chucuya ◽  
J. N. E. Carneiro ◽  
A. O. Nieckele

In the present work, the onset and subsequent development of slug flow in horizontal pipes is investigated by accurately solving the transient one-dimensional version of the Two-Fluid Model using a finite volume technique. Growth of disturbances that eventually bridge the pipe section is an automatic outcome of the solution of the discretized equations in a high resolution mesh, avoiding the need for the commonly used phenomenological models for the stratified to slug transition. Slug dynamics evolve naturally without the need of empirical correlations for slug parameters. This methodology (named “slug-capturing”) was proposed before in the literature and the present work represents a rare confirmation of its applicability in predicting this very complex flow regime. Here, different configurations are analyzed and comparisons are performed against different sets of experimental data. Additionally, statistical analysis of the slug parameters is performed and it is shown through comparisons against experimental measurements that this methodology is able not only to provide mean values of e.g. slug and bubble lengths and their evolution inside the pipe, but also shapes of probability density functions (PDFs), with a good degree of accuracy.


2011 ◽  
Vol 32 (3) ◽  
pp. 762-770 ◽  
Author(s):  
O. Cazarez-Candia ◽  
O.C. Benítez-Centeno ◽  
G. Espinosa-Paredes

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