Chapter

Advances in Fluid Mechanics

Volume 148 of the series Lecture Notes in Physics pp 67-105

Date:

Studies on the motion and decay of a vortex filament

  • L. TingAffiliated with

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Abstract

A review of asymptotic analyses for the study of the motion and decay of a vortex filament submerged in a background potential flow is presented. Emphasis is placed on physical intuitions motivating the analyses and on the physical interpretation of the asymptotic solutions. The extension of the analyses to a vortex filament submerged in a rotational flow is outlined.

The asymptotic analyses identify various canonical problems which require numerical solutions of the Navier-Stokes equations. These numerical studies in turn initiate new theoretical analyses.