0
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.

Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

White, F. M. , 1999, Fluid Mechanics, 4th ed., McGraw-Hill, Boston, MA.
Rashidi, M. , Hetsroni, G. , and Banerjee, S. , 1991, “ Mechanisms of Heat and Mass Transport at Gas–Liquid Interfaces,” Int. J. Heat Mass Transfer, 34(7), pp. 1799–1810. [CrossRef]
Komori, S. , Ueda, H. , Ogino, F. , and Mizushina, T. , 1982, “ Turbulence Structure and Transport Mechanism at the Free Surface in an Open Channel Flow,” Int. J. Heat Mass Transfer, 25(4), pp. 513–521. [CrossRef]
Rashidi, M. , and Banerjee, S. , 1988, “ Turbulence Structure in Free-Surface Channel Flows,” Phys. Fluids, 31(9), pp. 2491–2503. [CrossRef]
Rashidi, M. , Hetsroni, G. , and Banerjee, S. , 1992, “ Wave-Turbulence Interaction in Free-Surface Channel Flows,” Phys. Fluids A, 4(12), pp. 2727–2738. [CrossRef]
Lorencez, C. , Nasr-Esfahany, M. , Kawaji, M. , and Ojha, M. , 1997, “ Liquid Turbulence Structure at a Sheared and Wavy Gas–Liquid Interface,” Int. J. Multiphase Flow, 23(2), pp. 205–226. [CrossRef]
Stäbler, T. D. , 2007, “ Experimentelle Untersuchung und physikalische Beschreibung der Schichtenströmung in horizontalen Kanälen,” Ph.D. dissertation, Forschungszentrum Karlsruhe GmbH, Karlsruhe, Germany, Sc. Report No. FZKA 7296.
Stäbler, T. D. , Meyer, L. , Schulenberg, T. , and Laurien, E. , 2009, “ Turbulence and Void Distribution in Horizontal Counter-Current Stratified Flow,” Int. J. Transp. Phenom., 11, pp. 209–218.
Gabriel, S. G. , 2014, “ Experimentelle Untersuchung der Tropfenabscheidung einer horizontalen, entgegengerichteten Wasser/Luft-Schichtenströmung,” Ph.D. dissertation, Karlsruher Institut für Technologie, Karlsruhe, Germany, KIT Sc. Report No. 7683.
Daly, B. T. , and Harlow, F. H. , 1981, “ A Model of Countercurrent Steam–Water Flow in Large Horizontal Pipes,” Nucl. Sci. Eng., 77, pp. 273–284.
Akai, M. , Inoue, A. , and Aoki, S. , 1981, “ The Prediction of Stratified Two-Phase Flow With a Two-Equation Model of Turbulence,” Int. J. Multiphase Flow, 7(1), pp. 21–39. [CrossRef]
Wintterle, T. , Laurien, E. , Stäbler, T. , Meyer, L. , and Schulenberg, T. , 2008, “ Experimental and Numerical Investigation of Counter-Current Stratified Flows in Horizontal Channels,” Nucl. Eng. Des., 238(3), pp. 627–636. [CrossRef]
Höhne, T. , and Mehlhoop, J.-P. , 2014, “ Validation of Closure Models for Interfacial Drag and Turbulence in Numerical Simulations of Horizontal Stratified Gas–Liquid Flows,” Int. J. Multiphase Flow, 62, pp. 1–16. [CrossRef]
Berthelsen, P. A. , and Ytrehus, T. , 2005, “ Calculations of Stratified Wavy Two-Phase Flow in Pipes,” Int. J. Multiphase Flow, 31(5), pp. 571–592. [CrossRef]
Chen, H. C. , and Patel, V . C. , 1988, “ Near-Wall Turbulence Models for Complex Flows Including Separation,” AIAA J., 26(6), pp. 641–648. [CrossRef]
Benz, M. , 2016, “ Statistische Modellierung einer geschichteten Zweiphasenströmung,” Ph.D. dissertation, Karlsruher Institut für Technologie, Karlsruhe, Germany, KIT Sc. Report No. 7705.
Belt, R. J. , Van‘t Westende, J. M. C. , Prasser, H. M. , and Portela, L. M. , 2010, “ Time and Spatially Resolved Measurements of Interfacial Waves in Vertical Annular Flow,” Int. J. Multiphase Flow, 36(7), pp. 570–587. [CrossRef]
Rusche, H. , 2002, “ Computational Fluid Dynamics of Dispersed Two-Phase Flows at High Phase Fractions,” Ph.D. dissertation, Imperial College of Science, Technology and Medicine, London, UK.
Brackbill, J. U. , Kothe, D. B. , and Zemach, C. , 1992, “ A Continuum Method for Modelling Surface Tension,” J. Comput. Phys., 100(2), pp. 335–354. [CrossRef]

Figures

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 2

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

Grahic Jump Location
Fig. 1

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

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
Fig. 5

Geometry of the stratified flow experiment of Stäbler [7]

Grahic Jump Location
Fig. 8

Turbulent kinetic energy profiles of the gas phase in subcritical flow

Grahic Jump Location
Fig. 9

Turbulent kinetic energy profiles of the liquid phase in subcritical flow

Grahic Jump Location
Fig. 10

Void profiles in supercritical flow

Grahic Jump Location
Fig. 11

Velocity profiles in supercritical flow

Grahic Jump Location
Fig. 12

Turbulent kinetic energy profiles of the liquid phase in supercritical flow

Grahic Jump Location
Fig. 13

Turbulent kinetic energy profiles of the gas phase in supercritical flow

Grahic Jump Location
Fig. 14

Void profiles in partly reversed flow

Grahic Jump Location
Fig. 15

Velocity profiles in partly reversed flow

Grahic Jump Location
Fig. 16

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

Grahic Jump Location
Fig. 17

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

Grahic Jump Location
Fig. 6

Void profiles in subcritical flow

Grahic Jump Location
Fig. 7

Velocity profiles in subcritical flow

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In