Phase Appearance or Disappearance in Two-Phase Flows

Cordier, Floraine; Degond, Pierre; Kumbaro, Anela

doi:10.1007/s10915-013-9725-9

Cited by 25 publications

(21 citation statements)

References 34 publications

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“…It is also known that this system displays lack of positivity and instabilities due to phase appearance/disappearance process [11,51]. In addition, the effect of algebraic source terms represents a system of "stiff" differential equations [15] and roundoff errors may significantly contribute to numerical instabilities.…”

Section: A Model Equationsmentioning

confidence: 99%

Inferential framework for two-fluid model of cryogenic chilldown

Luchinsky

Khasin

Timuçin

et al. 2017

International Journal of Heat and Mass Transfer

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We report a development of probabilistic framework for parameter inference of cryogenic twophase flow based on fast two-fluid solver. We introduce a concise set of cryogenic correlations and discuss its parameterization. We present results of application of proposed approach to the analysis of cryogenic chilldoown in horizontal transfer line. We demonstrate simultaneous optimization of large number of model parameters obtained using global optimization algorithms. It is shown that the proposed approach allows accurate predictions of experimental data obtained both with saturated and sub-cooled liquid nitrogen flow. We discuss extension of predictive capabilities of the model to practical full scale systems.

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Section: A Model Equationsmentioning

confidence: 99%

Inferential framework for two-fluid model of cryogenic chilldown

Luchinsky

Khasin

Timuçin

et al. 2017

International Journal of Heat and Mass Transfer

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“…In particular, this model is known to be non-hyperbolic [9,24], to display lack of positivity [11] and instabilities due to phase appearance and disappearance [7,11]. In addition, this model represents a system of "stiff" differential equations [9].…”

Section: Separated Modelmentioning

confidence: 99%

“…Despite recent progress [5,6,7,8] the state of the art in two-phase modeling exhibits a lack of general agreement regarding the fundamental physical models that describe the complex phenomena [8] and a wide diversity of algorithms [5,6,7,9] developed for integration of these models. One of the major problems (see, however, recent claims [8]) is a large number of instabilities inherent to these solvers [7,10,11].…”

Section: Introductionmentioning

confidence: 99%

Hierarchy of two-phase flow models for autonomous control of cryogenic loading operation

Luchinskiy

Devine

Hafiychuk

et al. 2015

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. We report on the development of a hierarchy of models of cryogenic two-phase flow motivated by NASA plans to develop and maturate technology of cryogenic propellant loading on the ground and in space. The solution of this problem requires models that are fast and accurate enough to identify flow conditions, detect faults, and to propose optimal recovery strategy. The hierarchy of models described in this presentation is ranging from homogeneous movingfront approximation to separated non-equilibrium two-phase cryogenic flow. We compare model predictions with experimental data and discuss possible application of these models to on-line integrated health management and control of cryogenic loading operation.

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“…Paillére et al [29] describe an extension of the AUSM+scheme and propose to handle the velocity of the vanishing phase in a different way, if compared to [11]: they do not set the velocity arbitrarily to zero, but they make the vanishing phase velocity tend to the velocity of the remaining phase, thanks to a smoothing function. Cordier et al [30] analyze the hyperbolicity of the two-fluid model and the loss of positivity of the numerical scheme in the presence of a vanishing phase.…”

Section: Introductionmentioning

confidence: 99%

“…The aforementioned transition criteria were developed for the four-equation two-fluid model [11,25,27,29], the five-equation two-fluid model [28], the six-equation two-fluid model [30] and the multi-field model [26]; as far as we know, no transition method has been developed for the case of a simplified two-fluid model, and thus, we develop here, for the first time, a completely new criterion for the two-equation model, on the basis of the previous literature.…”

Section: Introductionmentioning

confidence: 99%

Simplified 1D Incompressible Two-Fluid Model with Artificial Diffusion for Slug Flow Capturing in Horizontal and Nearly Horizontal Pipes

2017

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This article proposes a numerical resolution of a one-dimensional (1D), transient, simplified two-fluid model regularized with an artificial diffusion term for modeling stratified, wavy and slug flow in horizontal and nearly horizontal pipes. Artificial diffusion is introduced to prevent the unbounded growth of instabilities where the 1D two-fluid model is ill-posed. We propose a method to set the artificial diffusion case by case to obtain the desired cut-off at short wavelengths by combining the choice of the spatial discretisation and the amplification factors obtained by the linear stability analysis of the model. A proper criterion to simulate two-phase to single-phase flow transition, which occurs during slug formation, is also developed. Flow pattern transitions have been numerically computed and compared against theoretical transition boundaries and experimental observations. Moreover, we showed that the developed code computes slug initiation and slug characteristics, in a reasonably accurate way considering the simplicity of the model, comparing numerical results with well-known empirical correlations and experimental data. Furthermore, the model simplicity leads to a computationally-inexpensive numerical resolution; this can be useful in engineering applications where obtaining fast numerical results is fundamental, such as applications involving automated control for two-phase flows.

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Phase Appearance or Disappearance in Two-Phase Flows

Abstract: 29.04.15 KB. Ok to add accepted version to spiral, embargo expire

Cited by 25 publications

References 34 publications

Inferential framework for two-fluid model of cryogenic chilldown

Inferential framework for two-fluid model of cryogenic chilldown

Hierarchy of two-phase flow models for autonomous control of cryogenic loading operation

Simplified 1D Incompressible Two-Fluid Model with Artificial Diffusion for Slug Flow Capturing in Horizontal and Nearly Horizontal Pipes

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