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

International Journal for Numerical Methods in Fluids

Volumn 44, Issue 6, 2004, Pages 665-672

  Yoon, Sam S ^a   Heister, Stephen D ^b  

^a SANDIA NATIONAL LABORATORIES   (United States)

^b Purdue University   (United States)

Author keywords

Biot Savart law; Streamfunction; Vortex ring

Indexed keywords

FUNCTIONS; MACHINERY; VORTEX FLOW;

POTENTIAL VORTEX RINGS;

FLOW OF FLUIDS;

FLUID DYNAMICS; FLUID FLOW; MATHEMATICAL MODELING; VORTEX RING;

EID: 1142293835     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.666     Document Type: Article

References (11)

1. Lamb H. Hydrodynamics. Dover: New York, 1879; 236-239.
2. Ramsey AS. A Treatise on Hydromechanics, G. Bell and Sons: London, 1920; 241-244.
3. Duncan WJ, Thom AS, Young AD. An Elementary Treatise on the Mechanics of Fluids. Edward Arnold: London, 1960; 93-94.
4. Robertson J. Hydrodynamics in Theory and Application. Prentice-Hall: Englewood Cliffs, New Jersey, 1965, 128-132.
5. Karamcheti K. Principles of Ideal-Fluid Aerodynamics. John Wiley: New York, 1966; 526-530, 599.
6. Batchelor GK. An Introduction to Fluid Dynamics. Cambridge University Press: New York, 1967; 521 -526.
7. Saffman PG. Vortex Dynamics. Cambridge University Press: New York, 1992; 192-195.
8. Panton RL. Incompressible Flow. Wiley: New York, 1996, 461-466.
9. Nitsche M, Krasny R. A numerical study of vortex ring formation at the edge of a circular tube. Journal of Fluid Mechanics 1994; 276:139-161.
10. Abramowitz M, Stegun FA. Handbook of Mathematical Functions. Dover Publications: New York, 1972, 562-566, 590-592.
11. Cayley A An Elementary Treatise on Elliptic Functions, with Applications, 2nd edn. Bell: London, 1895.