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Research Papers

Statistical Modeling of Stratified Two-Phase Flow

[+] Author and Article Information
M. Benz

Institute for Nuclear and Energy Technologies,
Karlsruhe Institute of Technology,
Hermann-von-Helmholtz-Platz 1,
Eggenstein-Leopoldshafen 76344, Germany
e-mail: matthias.benz@kit.edu

T. Schulenberg

Mem. ASME
Institute for Nuclear and Energy Technologies,
Karlsruhe Institute of Technology,
Hermann-von-Helmholtz-Platz 1,
Eggenstein-Leopoldshafen 76344, Germany
e-mail: thomas.schulenberg@kit.edu

Manuscript received April 15, 2016; final manuscript received December 17, 2016; published online March 1, 2017. Assoc. Editor: Andrey Churkin.

ASME J of Nuclear Rad Sci 3(2), 021001 (Mar 01, 2017) (9 pages) Paper No: NERS-16-1039; doi: 10.1115/1.4035564 History: Received April 15, 2016; Revised December 17, 2016

A new numerical model for stratified two-phase flows with wavy interface is derived in this study. Assuming an equilibrium condition between turbulent kinetic energy, potential energy, and surface energy, the turbulent length scale in the inner region of a two-layer turbulence approach can be described by a statistical model to account for the influence of the waves. The average wave number, which is an input parameter to this model, is taken from wave spectra. They can be predicted from a Boltzmann statistic of turbulent kinetic energy. The new turbulence model is compared with the two-phase k–ϵ turbulence model. Time-averaged flow properties calculated by the new approach, such as velocity, turbulence, and void profiles, are shown to be in good agreement with experimental data.

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References

Figures

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Fig. 1

Predicted and measured frequency spectrum of a subcritical, partly reversed flow

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Fig. 2

Frequency spectrum (a) and wave number spectrum (b) of a supercritical flow

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Fig. 3

Auto-power spectrum density of a vertical two-phase pipe flow

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Fig. 4

Void distribution calculated by the void models: (a) subcritical, partly reversed flow and (b) supercritical flow

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Fig. 5

Geometry of the stratified flow experiment of Stäbler [7]

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Fig. 6

Void profiles in subcritical flow

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Fig. 7

Velocity profiles in subcritical flow

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Fig. 8

Turbulent kinetic energy profiles of the gas phase in subcritical flow

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Fig. 9

Turbulent kinetic energy profiles of the liquid phase in subcritical flow

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Fig. 10

Void profiles in supercritical flow

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Fig. 11

Velocity profiles in supercritical flow

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Fig. 12

Turbulent kinetic energy profiles of the liquid phase in supercritical flow

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Fig. 13

Turbulent kinetic energy profiles of the gas phase in supercritical flow

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Fig. 14

Void profiles in partly reversed flow

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Fig. 15

Velocity profiles in partly reversed flow

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Fig. 16

Turbulent kinetic energy profiles of the gas phase in partly reversed flow

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Fig. 17

Turbulent kinetic energy profiles of the liquid phase in partly reversed flow

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