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Progress in Turbulence VI pp 289–293Cite as

Numerical Study of the Intermittency Region in Two-Fluid Turbulent Flow

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Part of the Springer Proceedings in Physics book series (SPPHY,volume 165)

Abstract

In this work we describe interactions between turbulence and water-air surface in the ensemble-averaged picture where, instead of a sharp interface between the phases we deal with a “surface layer” where the probability of the surface position is nonzero. Changes of the turbulent kinetic energy and the characteristic size eddies influence the width of the “surface layer”. We present a numerical solution and convergence tests for the equation for the intermittency function \(\alpha \) which describes the probability of finding the water phase at a given point and time.

Keywords

  • Turbulent Kinetic Energy
  • Water Phase
  • Surface Position
  • Water Side
  • Eddy Size

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Brocchini, M., Peregrine, D.H.: The dynamics of strong turbulence at free surfaces. Part 1. Description. J. Fluid Mech. 449, 225–254 (2001)

    MathSciNet  CrossRef  MATH  Google Scholar 

  2. Brocchini, M., Peregrine, D.H.: The dynamics of strong turbulence at free surfaces. Part 2. Free-surface boundary conditions. J. Fluid Mech. 449, 255–290 (2001)

    MathSciNet  CrossRef  MATH  Google Scholar 

  3. Gottlieb, S., Shu, C.-W.: Total variation diminishing Runge–Kutta schemes. Math. Comput. 67, 73–85 (1998)

    MathSciNet  CrossRef  MATH  Google Scholar 

  4. Olsson, E., Kreiss, G.: A conservative level set method for two phase flow. J. Comput. Phys. 210, 225–246 (2005)

    MathSciNet  CrossRef  MATH  Google Scholar 

  5. Wacławczyk, M., Oberlack, M.: Invariant closure proposals for the interface tracking in two-phase turbulent flows. J. Phys.: Conf. Ser. 318, 042025 (2011)

    Google Scholar 

  6. Wacławczyk, M., Oberlack, M.: Closure proposals for the tracking of turbulence-agitated gas-liquid interfaces in stratified flows. Int. J. Multiph. Flow 37, 967–976 (2011)

    CrossRef  Google Scholar 

  7. Wacławczyk, M., Wacławczyk, T.: A priori study for the modelling of velocity-interface correlations in the stratified air-water flows. Int. J. Heat Fluid Flow 52, 40–49 (2015)

    CrossRef  Google Scholar 

  8. Wacławczyk, T., Gemici Ö. C., Schäfer, M.: Novel high-resolution scheme for interface capturing in multi-phase flow. In: Proceedings of the 6th International Conference on Multiphase Flow (2007)

    Google Scholar 

  9. Wacławczyk, T., Wacławczyk, M., Kraheberger, S.V.: Modelling of turbulence-interface interactions in stratified two-phase flows. J. Phys.: Conf. Ser. 530, 012050 (2014)

    Google Scholar 

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Acknowledgments

This work was supported by Deutscher Forschungsgemeinschaft (DFG) funding grant No. WA 3097/3-1, WA 3098/2-1 “Modeling of turbulence-interface interaction in two-fluid systems”.

Author information

Authors and Affiliations

  1. Chair of Fluid Dynamics, Department of Mechanical Engineering, TU Darmstadt, Otto-Berndt Str. 2, 64287, Darmstadt, Germany

    S. V. Kraheberger & M. Wacławczyk

  2. Institute for Numerical Methods in Mechanical Engineering, TU Darmstadt, Dolivostr. 15, 64293, Darmstadt, Germany

    T. Wacławczyk

Authors
  1. S. V. Kraheberger
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  2. T. Wacławczyk
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  3. M. Wacławczyk
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Corresponding author

Correspondence to S. V. Kraheberger .

Editor information

Editors and Affiliations

  1. Inst of Phys, AG TWiSt, ForWind-CWER, Carl-von-Ossietzky University Oldenburg, Oldenburg, Germany

    Joachim Peinke

  2. Institute of Physics and ForWind, University of Oldenburg, Oldenburg, Niedersachsen, Germany

    Gerrit Kampers

  3. Department of Mechanical Engineering, TU Darmstadt, Darmstadt, Germany

    Martin Oberlack

  4. Department of Mechanical Engineering, TU Darmstadt, Darmstadt, Germany

    Marta Wacławczyk

  5. Dept of Indus Engg,Alma Mater Studiorum, Università di Bologna, Forlì, Italy

    Alessandro Talamelli

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Kraheberger, S.V., Wacławczyk, T., Wacławczyk, M. (2016). Numerical Study of the Intermittency Region in Two-Fluid Turbulent Flow. In: Peinke, J., Kampers, G., Oberlack, M., Wacławczyk, M., Talamelli, A. (eds) Progress in Turbulence VI. Springer Proceedings in Physics, vol 165. Springer, Cham. https://doi.org/10.1007/978-3-319-29130-7_50

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