Skip to main content

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

  • Conference paper
  • First Online:
Progress in Turbulence VI

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

  • 1020 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

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)

    Article  MathSciNet  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)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  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)

    Article  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)

    Article  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 

Download references

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

Authors

Corresponding author

Correspondence to S. V. Kraheberger .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

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

Download citation

Publish with us

Policies and ethics