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.
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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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Fukumoto, Y., Okulov, V.L., Wood, D.H. (2017). The Contribution of Kawada to the Analytical Solution for the Velocity Induced by a Helical Vortex Filament and Modern Applications of Helical Vortices. In: Itou, H., Kimura, M., Chalupecký, V., Ohtsuka, K., Tagami, D., Takada, A. (eds) Mathematical Analysis of Continuum Mechanics and Industrial Applications. Mathematics for Industry, vol 26. Springer, Singapore. https://doi.org/10.1007/978-981-10-2633-1_12
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