The Contribution of Kawada to the Analytical Solution for the Velocity Induced by a Helical Vortex Filament-Reference-Cited by-同舟云学术

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

Published:2015-11-01 Issue:6 Volume:67 Page:
ISSN:0003-6900
Container-title:Applied Mechanics Reviews
language:en
Short-container-title:

Author:

Fukumoto Yasuhide¹,Okulov Valery L.²³,Wood David H.⁴

Affiliation:

1. Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan e-mail:

2. Wind Energy Department, Technical University of Denmark, Nils Koppels Alle, Building 403, Lyngby DK-2800, Denmark;

3. Institute of Thermophysics, Siberian Branch of the Russian Academy of Sciences, Lavrentyev Avenue, 1, Novosibirsk 630090, Russia e-mail:

4. Schulich School of Engineering, University of Calgary, 2500 University Drive NW, Calgary T2N 1N4, Canada e-mail:

Abstract

The basic solution for the velocity induced by helical vortex filament is well known as Hardin's solution, published in 1982. A study of early publications on helical vortices now shows that the Japanese scientist Kawada from Tokyo Imperial University also produced many of these results in 1936, which predates Hardin by 46 years. Consequently, in order to honor both, we have studied their derivations to establish the originality of both solutions.

Publisher

ASME International

Subject

Mechanical Engineering

Link

http://asmedigitalcollection.asme.org/appliedmechanicsreviews/article-pdf/doi/10.1115/1.4031964/6074558/amr_067_06_060801.pdf

Reference43 articles.

1. The Velocity Field Induced by a Helical Vortex Filament;Phys. Fluids,1982

2. Induced Velocity by Helical Vortices;J. Aeronaut. Sci.,1936

3. Moderately Loaded Propeller With a Finite Number of Blades and an Arbitrary Distribution of Circulation;Trans. SNAME,1952

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