Abstract
Considering the motion of a long slender elastic thread in turbulent flows, a stochastic aerodynamic drag force concept was derived for a one-way coupling on top of a k-ε turbulence description in Marheineke and Wegener (SIAM J. Appl. Math. 66:1703–1726, 2006). In this paper we present a generalization of this concept that allows the simulation of practically relevant fluid-solid interactions and yields very convincing results in comparison to experiments. Thereby, it reduces the complex problem to two surrogate models: a universally valid drag model for all Reynolds number regimes and incident flow directions and a turbulence correlation model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antman, S.S.: Nonlinear Problems of Elasticity. Springer, New York (2004)
Frisch, U.: Turbulence. The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge (1995)
Hoerner, S.F.: Fluid-dynamic drag. Practical information on aerodynamic drag and hydrodynamic resistance. Published by the author. Obtainable from ISVA (1965)
Klar, A., Marheineke, N., Wegener, R.: Hierarchy of mathematical models for production processes of technical details. ZAMM 89, 941–961 (2009)
Marheineke, N., Wegener, R.: Fiber dynamics in turbulent flows: General modeling framework. SIAM J. Appl. Math. 66(5), 1703–1726 (2006)
Marheineke, N., Wegener, R.: Modeling and application of a stochastic drag for fibers in turbulent flows. Int. J. Multiphas. Flow. 37(2), 136–148 (2011)
Schlichting, H.: Grenzschicht-Theorie. Verlag G. Braun, Karlsruhe (1982)
Sumer, B.M., Fredsoe, J.: Hydrodynamics around cylindrical structures. World Scientific Publishing, London (2006)
Zdravkovich, M.M.: Flow around circular cylinders, Vol 1: Fundamentals. Oxford University Press, New York (1997)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Marheineke, N., Wegener, R. (2012). Stochastic PDAE-Model and Associated Monte-Carlo Simulations for Elastic Threads in Turbulent Flows. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_28
Download citation
DOI: https://doi.org/10.1007/978-3-642-25100-9_28
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25099-6
Online ISBN: 978-3-642-25100-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)