Applications of 2D helical vortex dynamics

Theoretical and Computational Fluid Dynamics

Volumn 24, Issue 1-4, 2010, Pages 395-401

  Okulov, Valery L ^a   Sørensen, Jens N ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Helical vortices; Instability of far wakes; Vortex breakdown; Vortex theory of rotors

Indexed keywords

BASIC APPLICATION; HELICAL SYMMETRY; HELICAL VORTICES; ROTATING FLOW; VORTEX BREAKDOWN; VORTEX THEORY; VORTEX THEORY OF ROTORS; VORTICITY FIELD;

BUBBLES (IN FLUIDS); DELTA WING AIRCRAFT; ROTORS; VORTICITY; WAKES;

VORTEX FLOW;

BAROCLINIC INSTABILITY; FLUID DYNAMICS; MATHEMATICAL ANALYSIS; MODEL; TWO-DIMENSIONAL FLOW; VORTEX; VORTICITY; WAKE;

EID: 77949423058     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-009-0136-3     Document Type: Conference Paper

References (32)

1. D.G. Dritschel 1991 Generalized helical Beltrami flows in hydrodynamics and magneto hydrodynamics J. Fluid Mech. 222 525 541
2. V.L. Okulov 1995 Determination of the velocity field induced by vortex filaments of cylindric and weak conic shapes Russ. J. Eng. Thermophys. 5 2 63 75
3. S.V. Alekseenko P.A. Kuibin V.L. Okulov S.I. Shtork 1999 Helical vortices in swirl flow J. Fluid Mech. 382 195 243
4. Troldborg, N.: Actuator Line Modelling of Wind Turbine Wakes. PhD thesis, Technical University of Denmark (2008)
5. C.M. Velte M.O.L. Hansen V.L. Okulov 2009 Helical structure of longitudinal vortices embedded in turbulent wall-bounded flow J. Fluid Mech. 619 167 177
6. J.C. Hardin 1982 The velocity field induced by a helical vortex filament Phys. Fluids 25 1949 1952
7. Fukumoto, Y., Okulov, V.L.: The velocity field induced by a helical vortex tube. Phys. Fluids 17(10), 107101(1-19) (2005)
8. J. Boersma D.H. Wood 1999 On the self-induced motion of a helical vortex J. Fluid Mech. 384 263 280
9. V.L. Okulov 2004 On the stability of multiple helical vortices J. Fluid Mech. 521 319 342
10. S. Goldstein 1929 On the vortex theory of screw propellers Proc. R. Soc. Lond. A 123 792 440 465
11. V.L. Okulov J.N. Sørensen 2007 Stability of helical tip vortices in a rotor far wake J. Fluid Mech. 576 1 25
12. M.G. Hall 1972 Vortex breakdown Annu. Rev. Fluid Mech. 4 195 218
13. S. Leibovich 1978 The structure of vortex breakdown Annu. Rev. Fluid Mech. 10 221 246
14. O. Lucca-Negro T. O'Doherty 2001 Vortex breakdown: a review Prog. Energy Combust. Sci. 27 4 431 481
15. A.K. Garg S. Leibovich 1979 Spectral characteristics of vortex breakdown flow fields Phys. Fluids 22 2053 2964
16. V.L. Okulov 1996 The transition from the right helical symmetry to the left symmetry during vortex breakdown Tech. Phys. Lett. 22 10 798 800
17. T. Murakhtina V. Okulov 2000 Changes in topology and symmetry of vorticity field during the turbulent vortex breakdown Tech. Phys. Lett. 26 10 432 435
18. V.L. Okulov J.N. Sørensen L.K. Voigt 2005 Vortex scenario and bubble generation in a cylindrical cavity with rotating top and bottom Eur. J. Mech. B 24 1 137 148
19. N.E. Joukowski 1912 Vortex theory of a propeller screw Trudy Otdeleniya Fizicheskikh Nauk Obshchestva Lyubitelei Estestvoznaniya 16 1 (in Russian)
20. B.P. Gupta R.G. Loewy 1974 Theoretical analysis of the aerodynamic stability of multiple, interdigitated helical vortices AIAA J. 12 10 1381 1387
21. S.E. Widnall 1972 The stability of a helical vortex filament J. Fluid Mech. 54 641 663
22. M.J. Bhagwat J.G. Leishman 2000 Stability analysis of helicopter rotor wakes in axial flight J. Am. Helicopter Ass. 45 165 178
23. L.J. Vermeer J.N. Sorensen A. Crespo 2003 Wind Turbine Wake Aerodynamics Prog. Aerosp. Sci. 39 467 510
24. M. Felli G. Guj R. Camussi 2008 Effect of the number of blades on propeller wake evolution Exp. Fluids 44 409 418
25. A. Betz 1920 Das Maximum der theoretisch möglichen Ausnützung des Windes durch Windmotoren Zeitschrift für das gesamte Turbinenwesen 26 307 309
26. H. Glauert 1935
27. J.-J. Chattot 2003 Optimization of wind turbines using helicoidal vortex model Trans. ASME 125 418 424
28. D.H. Wood J. Boersma 2001 On the motion of multiple helical vortices J. Fluid Mech. 447 149 171
29. Betz, A.: Schraubenpropeller mit Geringstem Energieverlust, Dissertation, Gottingen Nachrichten, Gottingen, (1919)
30. Theodorsen T.: Theory of propellers. McGraw-Hill, New York (1948)
31. Q.R. Wald 2006 The aerodynamics of propellers Prog. Aerosp. Sci. 42 85 128
32. V.L. Okulov J.N. Sørensen 2008 Refined Betz limit for rotors with a finite number of blades Wind energy 11 415 426