On stagnation points and streamline topology in vortex flows

Journal of Fluid Mechanics

Volumn 370, Issue , 1998, Pages 1-27

  Aref, Hassan ^a   Brøns, Morten ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERNS; GRAPH THEORY;

SIEBECK THEORY; STAGNATION POINTS; STREAMLINE TOPOLOGY;

VORTEX FLOW;

EID: 0032163331     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098001761     Document Type: Article

References (17)

1. AREF, H. 1979 Motion of three vortices. Phys. Fluids 22, 393-400.
2. AREF, H. 1989 Three vortex motion with zero total circulation: Addendum. Z. Angew. Math. Phys. 40, 495-500.
3. AREF, H. 1992 Trilinear coordinates in fluid mechanics. In Studies in Turbulence (ed. T. B. Gatski, S. Sarker & C. G. Speziale), pp. 568-581. Springer.
4. AREF, H. & BRØNS, M. 1995 On stagnation points in vortex flows. Bull. Am. Phys. Soc. 40, 1921.
5. COXETER, H. S. M. 1993 The Real Projective Plane, 3rd Edn. Springer.
6. ECKHARDT, B. 1988 Integrable four-vortex motion. Phys. Fluids 31, 2796-2801.
7. ECKHARDT, B. & AREF, H. 1988 Integrable and chaotic motions of four vortices II: Collision dynamics of vortex pairs. Phil. Trans. R. Soc. Lond. A 326, 655-696.
8. FERRERS, N. M. 1866 An Elementary Treatise on Tri-linear Coordinates, the Method of Reciprocal Polars and the Theory of Projections, 2nd Edn. Macmillan.
9. HEAWOOD, P. J. 1906 Geometrical relations between the roots of f(x) = 0 and f'(x) = 0. Q. J. Maths 38, 84-107.
10. KELVIN, LORD 1867 On vortex atoms. Proc. R. Soc. Edinb. 6, 94-105.
11. LAMB, H. 1932 Hydrodynamics, 6th Edn, §154. Cambridge University Press (republished by Dover).
12. MARDEN, M. 1949 Geometry of Polynomials. Am. Math. Soc.
13. ROTT, N. 1989 Three vortex motion with zero total circulation. Z. Angew. Math. Phys. 40, 473-494.
14. SALMON, G. 1854 A Treatise on Conic Sections, 6th Edn. Chelsea, New York.
15. SCHOENBERG, I. J. 1982 Mathematical Time Exposures. The Mathematical Association of America.
16. SIEBECK, F. H. 1864 Ueber eine neue analytische Behandlungsweise der Brennpunkte. J. Reine Angew. Maths 64, 175-182.
17. SYNGE, J. L. 1949 On the motion of three vortices. Can. J. Maths 1, 257-270.