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The Contribution of Kawada to the Analytical Solution for the Velocity Induced by a Helical Vortex Filament and Modern Applications of Helical Vortices

  • Yasuhide FukumotoEmail author
  • Valery L. Okulov
  • David H. Wood
Conference paper
Part of the Mathematics for Industry book series (MFI, volume 26)

Abstract

Currently, the analytical form of the velocity field induced by a helical vortex filament is well known as Hardin’s solution (1982). But essentially the same result had been obtained by a Japanese scientist Sandi Kawada, which predates Hardin by as long as 46 years. Kawada (1936) provided a comprehensive treatment of deriving the induced velocity by helical vortices with a view to applying it to the propeller theory. This paper recollects Kawada’s contribution, together with his life devoted to lead the Japanese aeronautical engineering in the time of its dawning.

Keywords

Wind Turbine Vortex Ring Velocity Potential Vortex Sheet Vortex Filament 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

YF is grateful to Prof. Kojiro Suzuki of University of Tokyo for providing us with documents on Sandi Kawada and Tomijiro Moriya. This work has been carried out with a support of the Danish Council for Strategic Research for the project COMWIND—Center for Computational Wind Turbine Aerodynamics and Atmospheric Turbulence: grant 2104_09_067216/DSF and the Russian Science Foundation (grant no. 14-29-00093). DHW acknowledges the support of the Canadian Natural Science and Engineering Research Council through its Industrial Research Chair program in conjunction with the ENMAX Corporation.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Yasuhide Fukumoto
    • 1
    Email author
  • Valery L. Okulov
    • 2
    • 3
  • David H. Wood
    • 4
  1. 1.Institute of Mathematics for IndustryKyushu UniversityFukuokaJapan
  2. 2.Wind Energy DepartmentTechnical University of DenmarkLyngbyDenmark
  3. 3.Institute of ThermophysicsSiberian Branch of the Russian Academy of SciencesNovosibirskRussia
  4. 4.Schulich School of EngineeringUniversity of CalgaryCalgaryCanada

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