Accumulation of heavy particles around a helical vortex filament

Physics of Fluids

Volumn 19, Issue 10, 2007, Pages

  IJzermans, Rutger H A ^a   Hagmeijer, Rob ^a   van Langen, Pieter J ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; FLOW FIELDS; FLOW VELOCITY; LINEAR STABILITY ANALYSIS; PIPE FLOW; TOPOLOGY;

HEAVY PARTICLES; HELICAL TRAJECTORIES; HELICAL VORTEX FILAMENT; STREAM FUNCTION;

INCOMPRESSIBLE FLOW;

DRAG; FLOW FIELDS; FLOW VELOCITY; INCOMPRESSIBLE FLOW; LINEAR STABILITY ANALYSIS; PIPE FLOW; TOPOLOGY;

EID: 35748959666     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2771658     Document Type: Article

References (31)

1. A. K. Gupta, D. G. Lilley, and N. Syred, Swirl Flows (Abacus, New York, 1984).
2. A. J. J. Verhoeff, "Aerodynamics of wind turbine rotors," Ph.D. thesis, University of Twente, The Netherlands, 2005.
3. S. V. Alekseenko, P. A. Kuibin, V. L. Okulov, and S. I. Shtork, "Helical vortices in swirl flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112098003772 382, 195 (1999).
4. R. H. A. IJzermans and R. Hagmeijer, "Accumulation of heavy particles in N-vortex flow on a disk," Phys. Fluids PHFLE61070-663110.1063/1.2212987 18, 063601 (2006).
5. R. Hagmeijer, R. H. A. IJzermans, and F. Put, "Solution of the general dynamic equation along approximate fluid trajectories generated by the method of moments," Phys. Fluids PHFLE61070-663110.1063/ 1.1921147 17, 056101 (2005).
6. L. Biferale, G. Boffetta, A. Celani, A. Lanotte, and F. Toschi, "Particle trapping in three-dimensional fully developed turbulence," Phys. Fluids PHFLE61070-663110.1063/1.1846771, 17, 021701 (2005).
7. L. Da Rios, "Sul moto d'un liquido indefinito con un filetto vorticoso di forma qualunque," Rend. Circ. Mat. Palermo RCMMAR0009-725X 22, 117 (1906).
8. H. Levy and A. G. Forsdyke, "The steady motion and stability of a helical vortex," Proc. R. Soc. London, Ser. A PRLAAZ1364-502110.1098/rspa.1928.0174 120, 670 (1928).
9. R. Betchov, "On the curvature and torsion of an isolated vortex filament," J. Fluid Mech. JFLSA70022-112010.1017/S0022112065000915 22, 471 (1965).
10. D. W. Moore and P. G. Saffman, "The motion of a vortex filament with axial flow," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-842810.1098/rsta.1972.0055 272, 403 (1972).
11. J. C. Hardin, "The velocity field induced by a helical vortex filament," Phys. Fluids PFLDAS0031-917110.1063/1.863684 25, 1949 (1982).
12. H. Lamb, "The magnetic field of a helix," Proc. Cambridge Philos. Soc. PCPSA40068-6735 21, 477 (1923).
13. I. Mezić, S. Wiggins, and A. Leonard, "Regular and chaotic particle motion near a helical vortex filament," Physica D PDNPDT0167-278910.1016/S0167-2789(97)80011-5 111, 179 (1998).
14. L. G. Sarasúa, A. C. Sicardi Schifino, and R. González, "The development of helical vortex filaments in a tube," Phys. Fluids PHFLE61070-663110.1063/1.1871713 17, 044104 (2005).
15. V. L. Okulov, "The velocity field induced by helical vortex filaments with cylindrical or conic supporting surface," Russ. J. Eng. Thermophys. RJETER1051-8053 5, 63 (1995).
16. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, New York, 1967).
17. R. Ricca, "The effect of torsion on the motion of a helical vortex filament," J. Fluid Mech. JFLSA70022-112010.1017/S0022112094001928 273, 241 (1990).
18. J. Boersma and D. G. Wood, "On the self-induced motion of a helical vortex," J. Fluid Mech. JFLSA70022-112010.1017/S002211209900422X 384, 263 (1999).
19. M. R. Maxey, "On the advection of spherical and non-spherical particles in a non-uniform flow," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-842810.1098/rsta.1990.0162 333, 289 (1990).
20. K. D. Squires and J. D. Eaton, "Preferential concentration of particles by turbulence," Phys. Fluids A PFADEB0899-821310.1063/ 1.858045 3, 1169 (1990).
21. O. A. Druzhinin, "Dynamics of concentration and vorticity modification in a cellular flow laden with solid heavy particles," Phys. Fluids PHFLE61070-663110.1063/1.868756 7, 2132 (1995).
22. A. M. Gañán-Calvo and J. C. Lasheras, "The dynamics and mixing of small spherical particles in a plane, free shear layer," Phys. Fluids A PFADEB0899-821310.1063/1.858049 3, 1207 (1991).
23. P. H. Chavanis, "Trapping of dust by coherent vortices in the solar nebula," Ann. N.Y. Acad. Sci. ANYAA90077-8923 356, 1089 (2000).
24. B. Marcu, E. Meiburg and P. K. Newton, "Dynamics of heavy particles in a Burgers vortex," Phys. Fluids PHFLE61070-663110.1063/1.868778 7, 400 (1995).
25. H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1932).
26. M. J. Landman, "On the generation of helical waves in a circular pipe flow," Phys. Fluids A PFADEB0899-821310.1063/1.857727 2, 738 (1990).
27. M. R. Maxey and J. J. Riley, "Equation of motion for a small rigid sphere in a nonuniform flow," Phys. Fluids PFLDAS0031-917110.1063/ 1.864230 26, 883 (1983).
28. W. C. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran 77 (Cambridge University Press, Cambridge, 1992).
29. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
30. G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, 1966).
31. F. W. J. Olver, Asymptotics and Special Functions (Academic, New York, 1974).