Forma, Vol. 30 (Special Issue), pp. S25S32, 2015


Vortex Dynamics

Ryuji Takaki

Tokyo University of Agriculture and Technology (emeritus professor), Koganei, Tokyo 184-8588, Japan
E-mail address:

(Received November 3, 2014; Accepted January 30, 2015)

Abstract. Dynamics of vortices of filament type is introduced for the following three cases: deformation of a vortex filament by self-induction, entanglement of two vortex filaments by self- and mutual inductions and reconnection of two vortex filaments. The first two cases are treated by the use of vorticity equation without the viscous term, while the third one requires a treatment with the effect of viscosity.

Keywords: Vorticity, Self-Induction, Mutual Induction, Entanglement, Reconnection

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