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Stochastic PDAE-Model and Associated Monte-Carlo Simulations for Elastic Threads in Turbulent Flows

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Progress in Industrial Mathematics at ECMI 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 17))

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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.

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References

  1. Antman, S.S.: Nonlinear Problems of Elasticity. Springer, New York (2004)

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  2. Frisch, U.: Turbulence. The Legacy of A. N. Kolmogorov. Cambridge University Press, Cambridge (1995)

    MATH  Google Scholar 

  3. Hoerner, S.F.: Fluid-dynamic drag. Practical information on aerodynamic drag and hydrodynamic resistance. Published by the author. Obtainable from ISVA (1965)

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  4. Klar, A., Marheineke, N., Wegener, R.: Hierarchy of mathematical models for production processes of technical details. ZAMM 89, 941–961 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Marheineke, N., Wegener, R.: Fiber dynamics in turbulent flows: General modeling framework. SIAM J. Appl. Math. 66(5), 1703–1726 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. Schlichting, H.: Grenzschicht-Theorie. Verlag G. Braun, Karlsruhe (1982)

    MATH  Google Scholar 

  8. Sumer, B.M., Fredsoe, J.: Hydrodynamics around cylindrical structures. World Scientific Publishing, London (2006)

    Book  MATH  Google Scholar 

  9. Zdravkovich, M.M.: Flow around circular cylinders, Vol 1: Fundamentals. Oxford University Press, New York (1997)

    Google Scholar 

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Correspondence to Nicole Marheineke .

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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

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