The effect of slight viscosity on a near-critical swirling flow in a pipe

Physics of Fluids

Volumn 9, Issue 7, 1997, Pages 1914-1927

  Wang, S ^a   Rusak, Z ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MODELLING-MATHEMATICAL; PIPE FLOW; SWIRLING FLOW; VISCOSITY;

EID: 0030870203     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869312     Document Type: Article

References (26)

1. M.G. Hall, "Vortex breakdown," Annu. Rev. Fluid Mech. 4, 195 (1972).
2. S. Leibovich, "Vortex stability and breakdown: Survey and extension," AIAA J. 22, 1192 (1984).
3. M. Escudier, "Vortex breakdown: observations and explanations," Prog. Aerospace Sci. 25, 189 (1988).
4. T. Sarpkaya, "Vortex breakdown and turbulence," AIAA Paper No. 95-0433 (1995).
5. H.B. Squire, "Analysis of the vortex breakdown phenomenon," Miszallaneen der Angewandten Mechanik (Akademie, Berlin, 1960), pp. 306-312.
6. T.B. Benjamin, "Theory of the vortex breakdown phenomenon," J. Fluid Mech. 14, 593 (1962).
7. S. Leibovich, "Weakly nonlinear waves in rotating fluids," J. Fluid Mech. 42, 803 (1970).
8. S. Wang and Z. Rusak, "The dynamics of a swirling flow in a pipe and transition to axisymmetric vortex breakdown," J. Fluid Mech. 340, 177 (1997).
9. S. Wang and Z. Rusak, "On the stability of an axisymmetric rotating flow," Phys. Fluids 8, 1007 (1996).
10. S. Wang and Z. Rusak, "On the stability of non-columnar swirling flows," Phy. Fluids 8, 1017 (1996).
11. Z. Rusak, S. Wang, and C.H. Whiting, "Numerical computations of axisymmetric vortex breakdown in a pipe," AIAA Paper No. 96-0801 (1996).
12. M.G. Hall, "A new approach to vortex breakdown," Proceedings of the Heat Transfer and Fluid Mechanics Institute, University of California, San Diego, La Jolla, 1967, pp. 319-340.
13. J.D. Randall and S. Leibovich, "Dissipative effects on nonlinear waves in rotating fluids," Phys. Fluids, 14, 2559 (1971).
14. J.D. Randall and S. Leibovich, "The critical state: A trapped wave model of vortex breakdown," J. Fluid Mech. 53, 481 (1973).
15. P.S. Beran and F.E.C. Culick, "The role of non-uniqueness in the development of vortex breakdown in tubes," J. Fluid Mech. 242, 491 (1992).
16. J.M. Lopez, "On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe," Phys. Fluids. 6, 3683 (1994).
17. P.S. Beran, "The time-asymptotic behavior of vortex breakdown in tubes," Comput. Fluids 23, 913 (1994).
18. D.L. Darmofal, "Comparisons of experimental and numerical results for axisymmetric vortex breakdown in pipes," Comput. Fluids 25, 353 (1996).
19. J.H. Faler and S. Leibovich, "Disrupted states of vortex flow and breakdown," Phys. Fluids 22, 1385 (1977).
20. T. Sarpkaya, "On stationary and traveling vortex breakdown," J. Fluid Mech. 45, 549 (1971).
21. Ch. Bruecker and W. Althaus, "Study of vortex breakdown by particle tracking velocimetry (PTV), Part 3: Time-dependent structure and development of breakdown modes," Exp. Fluids 18, 174 (1995).
22. A. Szeri and P. Holmes, "Nonlinear stability of axisymmetric swirling flows," Philos. Trans. R. Soc. London, A 326, 327 (1988).
23. H.B. Squire, "Rotating fluids," Surveys in Mechanics, edited by G. K. Batchelor and R. M. Davies (Cambridge University Press, Cambridge, 1956) pp. 139-161.
24. R.R. Long, "Steady motion around a symmetrical obstacle moving along the axis of a rotating liquid," J. Meteorol. 10, 197 (1953).
25. S.L. Bragg and W.R. Hawthorne, "Some exact solutions of the flow through annular cascade actuator discs," J. Acro. Sci. 17, 243 (1950).
26. S. Leibovich and A. Kribus, "Large amplitude wavetrains and solitary waves in vortices," J. Fluid Mech. 261, 459 (1990).