The velocity field induced by a helical vortex tube

• Fukumoto Yasuhide

  Kyushu University

• Okulov Valery

  Institute of Thermophysics, Novosibirsk

Bibliographic Information

Other Title

• らせん渦管による誘導速度場

Abstract

The influence of finite core thickness on the velocity field around a vortex tube is addressed. An asymptotic expansion of the Biot-Savart law is made to a higher order in a small parameter, the ratio of core radius to curvature radius, which consists of the velocity field due to lines of monopoles and dipoles arranged on the center line of the tube. The former is associated with an infinitely thin core and is featured by the circulation alone. The distribution of vorticity in the core reflects on the strength of dipole. This result is applied to a helical vortex tube, and the induced velocity due to a helical filament of the dipoles is obtained in the form of the Kapteyn series, which augments Hardin's solution for the monopoles.

Journal

• NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

  NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 55 (0), 218-218, 2006

  National Committee for IUTAM

Keywords

• Biot-Savart law
• A helical vorter tube
• asymptotic expansions
• dipole
• torsion

Details

• CRID: 1390001205593220992
• NII Article ID: 130005020381
• DOI: 10.11345/japannctam.55.0.218.0
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed