University of Illinois Urbana-Champaign

Four-vortex motion with zero total circulation and impulse

Aref, Hassan; Stremler, Mark A.

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https://hdl.handle.net/2142/111775

Description

Title
Four-vortex motion with zero total circulation and impulse
Author(s)
  • Aref, Hassan
  • Stremler, Mark A.
Issue Date
1999-05-25
Keyword(s)
  • Mechanics
  • Engineering
Abstract
The problem of four interacting point vortices on the unbounded plane with vanishing total circulation and vanishing impulse is reduced to a three-body problem analogous to the three-vortex problem on the unbounded plane. A 'phase plane analysis' using trilinear coordinates, similar to that used for the three-vortex problem, is presented and used to discuss details of the motion. The methodology and results complement earlier analysis of the same problem by Eckhardt and Rott.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/111775
Sponsor(s)/Grant Number(s)
NSF grant CTS-9311545
Copyright and License Information
Copyright 1999 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.