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

Sam S. Yoon; Stephen D. Heister

doi:10.1002/fld.666

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

Sam S. Yoon^*
, Stephen D. Heister

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 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 language	English
Pages (from-to)	665-672
Number of pages	8
Journal	International Journal for Numerical Methods in Fluids
Volume	44
Issue number	6
DOIs	https://doi.org/10.1002/fld.666
Publication status	Published - 2004 Feb 28
Externally published	Yes

Keywords

Biot-Savart law
Streamfunction
Vortex ring

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Applied Mathematics

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10.1002/fld.666

Cite this

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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.",

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AU - Heister, Stephen D.

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AB - 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.

KW - Biot-Savart law

KW - Streamfunction

KW - Vortex ring

UR - https://www.scopus.com/pages/publications/1142293835

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DO - 10.1002/fld.666

M3 - Article

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 6

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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