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Modeling Helicity Dissipation-Rate Equation

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Progress in Turbulence VI

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

Abstract

Transport equation of the dissipation rate of turbulent helicity is derived with the aid of a statistical analytical closure theory of inhomogeneous turbulence. It is shown that an assumption on the helicity scaling with an algebraic relationship between the helicity and its dissipation rate leads to the transport equation of the turbulent helicity dissipation rate without resorting to a heuristic modeling.

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References

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Acknowledgments

Basic calculations of this work were performed during NY’s stay at the Rudolf Peierls Centre for Theoretical Physics, The University of Oxford (January 2013) and at the Consorzio RFX in Padova (February 2013) as a visiting researcher. Part of this work is supported by the Japan Society for the Promotion of Science (JSPS) Core-to-Core Program (No. 22001) Institutional Program for Young Researcher Overseas Visits and also by the JSPS Grants-in-Aid for Scientific Research (No. 24540228).

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Authors and Affiliations

  1. Institute of Industrial Science, University of Tokyo, 4-6-1, Komaba, Meguro, Tokyo, 153-8505, Japan

    Nobumitsu Yokoi

Authors
  1. Nobumitsu Yokoi
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Correspondence to Nobumitsu Yokoi .

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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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Yokoi, N. (2016). Modeling Helicity Dissipation-Rate Equation. 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_17

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