Momentum and heat transfer in two-phase bubble flow—I. Theory

Sato, Yoshifusa; Sadatomi, Michio; Sekoguchi, Kotohiko

doi:10.1016/0301-9322(81)90003-3

Cited by 500 publications

(225 citation statements)

References 8 publications

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“…It was found, that a turbulent enhancement takes place, that is well described by the algebraic equation of Sato [17,18] even in the region of churn-turbulent flow, for which the Sato equation was not validated before ( Fig. 15).…”

Section: Turbulent Dispersion In a Gas-liquid Flowmentioning

confidence: 90%

Novel experimental measuring techniques required to provide data for CFD validation

Prasser

2008

Nuclear Engineering and Design

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Section: Turbulent Dispersion In a Gas-liquid Flowmentioning

confidence: 90%

Novel experimental measuring techniques required to provide data for CFD validation

Prasser

2008

Nuclear Engineering and Design

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“…For BIT there are two modelling approaches. The first approach is proposed by Sato and Sekoguchi [37] and Sato et al [42]:…”

Section: Effect Of Bubble-induced Turbulence (Bit)mentioning

confidence: 99%

Large Eddy Simulation for Dispersed Bubbly Flows: A Review

Dhotre

Deen

Ničeno

et al. 2013

International Journal of Chemical Engineering

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Large eddy simulations (LES) of dispersed gas-liquid flows for the prediction of flow patterns and its applications have been reviewed. The published literature in the last ten years has been analysed on a coherent basis, and the present status has been brought out for the LES Euler-Euler and Euler-Lagrange approaches. Finally, recommendations for the use of LES in dispersed gas liquid flows have been made.

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“…For bubbly flow, this turbulent diffusivity is given by various researchers (Sato et al (1981), Kataoka and Serizawa (1993)). Kataoka and Serizawa (1993) proposed the following correlation.…”

Section: Constitutive Equations Of Turbulent Transport Of Interfamentioning

confidence: 99%

Modeling of turbulent transport term of interfacial area concentration in gas–liquid two-phase flow

Kataoka

Yoshida

Naitoh

et al. 2012

Nuclear Engineering and Design

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A new and rigorous modeling of basic transport equation and constitutive equations of turbulent transport terms of interfacial area concentration was carried out.Based on these local instant formulation, basic transport equation of interfacial area concentration was rigorously formulated in term of spatial correlation functions of characteristic function (local instant volume fraction) and its directional derivative of each phase. In the basic transport equations, interfacial area concentration is transported by averaged interfacial velocityIn the previous models, interfacial velocity is roughly approximated by velocity of each phase.In the present model, interfacial velocity is rigorously formulated in term of spatial correlation functions of characteristic function and velocity of each phase and their directional derivatives. In this new formulation, the averaged interfacial velocity was shown to be correlation functions of fluctuation of velocity and local instant void fraction and their derivatives which reflect the transport of interfacial area concentration due to interaction between interfacial area and turbulence of each phase. Basic conservation equations of spatial correlation functions of characteristic function and velocity of each phase were also derived based on the conservation equations momentum and its fluctuation of each phase. For practical purpose, further modeling of this turbulent transport terms of interfacial area concentration was carried out. As a result, constitutive equations of turbulent diffusion and lateral migration of interfacial area concentration were obtained which can be applied to various flow regime of two-phase flow. I. IntroductionThe two-phase flow phenomenon is playing an important role about safety issues of a nuclear reactor. In order to analyze two-phase flow phenomena, various models such as homogeneous model, slip model, drift flux model and two-fluid model have been proposed. Among these models, the two-fluid model (Ishii (1975), Delhaye (1968) is considered the most accurate model because this model treats each phase separately considering the phase interactions at gas-liquid interfaces.More realistic evaluation is attainable especially by taking a multi-dimensional effect into consideration appropriately. That is, it is desirable that many nuclear reactor safety problems are solved by using the two-phase CFD tools, which simulate the complex two-phase flows with a finer space and time resolution than that used in the present two-fluid model codes such as RELAP, TRAC, CATHARE, and ATHLET. There are, however, the following two difficulties to be resolved.(1) The CPU time drastically increases as the grid becomes fine.(2) There is no reliable and accurate modeling of the interfacial area for a finer mesh. The JNES have started the plan shown in Table 1 to prepare the two-phase CFD tool.

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Momentum and heat transfer in two-phase bubble flow—I. Theory

Cited by 500 publications

References 8 publications

Novel experimental measuring techniques required to provide data for CFD validation

Novel experimental measuring techniques required to provide data for CFD validation

Large Eddy Simulation for Dispersed Bubbly Flows: A Review

Modeling of turbulent transport term of interfacial area concentration in gas–liquid two-phase flow

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