Hydrodynamic and Magnetohydrodynamic Turbulent Flows

Modelling and Statistical Theory

  • Akira Yoshizawa

Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 48)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Akira Yoshizawa
    Pages 1-6
  3. Akira Yoshizawa
    Pages 7-32
  4. Akira Yoshizawa
    Pages 33-82
  5. Akira Yoshizawa
    Pages 83-144
  6. Akira Yoshizawa
    Pages 145-172
  7. Akira Yoshizawa
    Pages 173-253
  8. Akira Yoshizawa
    Pages 255-263
  9. Akira Yoshizawa
    Pages 265-303
  10. Akira Yoshizawa
    Pages 305-369
  11. Akira Yoshizawa
    Pages 371-404
  12. Back Matter
    Pages 405-416

About this book


TUrbulence modeling encounters mixed evaluation concerning its impor­ tance. In engineering flow, the Reynolds number is often very high, and the direct numerical simulation (DNS) based on the resolution of all spatial scales in a flow is beyond the capability of a computer available at present and in the foreseeable near future. The spatial scale of energetic parts of a turbulent flow is much larger than the energy dissipative counterpart, and they have large influence on the transport processes of momentum, heat, matters, etc. The primary subject of turbulence modeling is the proper es­ timate of these transport processes on the basis of a bold approximation to the energy-dissipation one. In the engineering community, the turbulence modeling is highly evaluated as a mathematical tool indispensable for the analysis of real-world turbulent flow. In the physics community, attention is paid to the study of small-scale components of turbulent flow linked with the energy-dissipation process, and much less interest is shown in the foregoing transport processes in real-world flow. This research tendency is closely related to the general belief that universal properties of turbulence can be found in small-scale phenomena. Such a study has really contributed much to the construction of statistical theoretical approaches to turbulence. The estrangement between the physics community and the turbulence modeling is further enhanced by the fact that the latter is founded on a weak theoretical basis, compared with the study of small-scale turbulence.


fluid mechanics fusion mechanics turbulence turbulent flow

Authors and affiliations

  • Akira Yoshizawa
    • 1
  1. 1.Institute of Industrial ScienceUniversity of TokyoTokyoJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1998
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5090-8
  • Online ISBN 978-94-017-1810-3
  • Series Print ISSN 0926-5112
  • Buy this book on publisher's site