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

Yasuhide Fukumoto; Valery Okulov; David H. Wood

doi:10.1007/978-981-10-2633-1_12

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

Yasuhide Fukumoto, Valery Okulov, David H. Wood

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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.

Original language	English
Title of host publication	Mathematical Analysis of Continuum Mechanics and Industrial Applications
Publisher	Springer
Publication date	2017
Pages	167-174
ISBN (Electronic)	978-981-10-2633-1
DOIs	https://doi.org/10.1007/978-981-10-2633-1_12
Publication status	Published - 2017
Event	International Conference on Mathematical Analysis of Continuum Mechanics and Industrial Applications 2015 - Kyushu University, Kyushu, Japan Duration: 16 Nov 2015 → 18 Nov 2015

Conference

Conference	International Conference on Mathematical Analysis of Continuum Mechanics and Industrial Applications 2015
Location	Kyushu University
Country/Territory	Japan
City	Kyushu
Period	16/11/2015 → 18/11/2015

Series	Mathematics for Industry
Volume	26

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10.1007/978-981-10-2633-1_12

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

abstract = "Currently, the analytical form of the velocity field induced by a helical vortex filament is well known as Hardin{\textquoteright}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 thepropeller theory. This paper recollects Kawada{\textquoteright}s contribution, together with his life devoted to lead the Japanese aeronautical engineering in the time of its dawning.",

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Fukumoto, Y, Okulov, V & Wood, DH 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 Mathematical Analysis of Continuum Mechanics and Industrial Applications. Springer, Mathematics for Industry, vol. 26, pp. 167-174, International Conference on Mathematical Analysis of Continuum Mechanics and Industrial Applications 2015, Kyushu, Japan, 16/11/2015. https://doi.org/10.1007/978-981-10-2633-1_12

The Contribution of Kawada to the Analytical Solution for the Velocity Induced by a Helical Vortex Filament and Modern Applications of Helical Vortices. / Fukumoto, Yasuhide; Okulov, Valery; Wood, David H.
Mathematical Analysis of Continuum Mechanics and Industrial Applications. Springer, 2017. p. 167-174 (Mathematics for Industry, Vol. 26).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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

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