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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brocchini, M., Peregrine, D.H.: The dynamics of strong turbulence at free surfaces. Part 1. Description. J. Fluid Mech. 449, 225–254 (2001)
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)
Gottlieb, S., Shu, C.-W.: Total variation diminishing Runge–Kutta schemes. Math. Comput. 67, 73–85 (1998)
Olsson, E., Kreiss, G.: A conservative level set method for two phase flow. J. Comput. Phys. 210, 225–246 (2005)
Wacławczyk, M., Oberlack, M.: Invariant closure proposals for the interface tracking in two-phase turbulent flows. J. Phys.: Conf. Ser. 318, 042025 (2011)
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)
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)
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)
Wacławczyk, T., Wacławczyk, M., Kraheberger, S.V.: Modelling of turbulence-interface interactions in stratified two-phase flows. J. Phys.: Conf. Ser. 530, 012050 (2014)
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
Corresponding author
Editor information
Editors and Affiliations
Rights 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
DOI: https://doi.org/10.1007/978-3-319-29130-7_50
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-29129-1
Online ISBN: 978-3-319-29130-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)