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Analytical formulas for the velocity field induced by an infinitely thin vortex ring
Author(s) -
Yoon Sam S.,
Heister Stephen D.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.666
Subject(s) - vortex , simplicity , vortex ring , ring (chemistry) , biot number , field (mathematics) , computational fluid dynamics , mathematics , physics , classical mechanics , mechanics , calculus (dental) , statistical physics , mathematical analysis , algorithm , pure mathematics , quantum mechanics , chemistry , organic chemistry , medicine , dentistry
Three different analytical solutions are presented for a potential vortex ring using three different streamfunctions. 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. Copyright © 2004 John Wiley & Sons, Ltd.