Analytical formulas for the velocity field induced by an infinitely thin vortex ring

Suk Goo Yoon, Stephen D. Heister

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Three different analytical solutions are presented for a potential vortex ring using three different stream-functions. Verification studies confirm that all three approaches are valid. It is found that the solution obtained using the Biot-Savart law is the most efficient method due to its simplicity. It is shown that all analytical results are accurate to within machine accuracy and sample calculations are included.

Original languageEnglish
Pages (from-to)665-672
Number of pages8
JournalInternational Journal for Numerical Methods in Fluids
Volume44
Issue number6
DOIs
Publication statusPublished - 2004 Feb 28
Externally publishedYes

Fingerprint

Biot-Savart law
Vortex Ring
vortex rings
Stream Function
Velocity Field
Simplicity
Analytical Solution
Vortex flow
velocity distribution
Valid

Keywords

  • Biot-Savart law
  • Streamfunction
  • Vortex ring

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials

Cite this

Analytical formulas for the velocity field induced by an infinitely thin vortex ring. / Yoon, Suk Goo; Heister, Stephen D.

In: International Journal for Numerical Methods in Fluids, Vol. 44, No. 6, 28.02.2004, p. 665-672.

Research output: Contribution to journalArticle

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