On the development of three-dimensional vortex breakdown in cylindrical regions

Physics of Fluids

Volumn 18, Issue 8, 2006, Pages

  Herrada, M A ^a   Fernandez Feria, R ^b  

^a UNIVERSIDAD DE SEVILLA   (Spain)

^b UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; PIPE FLOW; REYNOLDS NUMBER;

AZIMUTHAL WAVE NUMBERS; LINEAR SPATIAL STABILITY ANALYSIS; VORTEX BREAKDOWN;

VORTEX FLOW;

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; PIPE FLOW; REYNOLDS NUMBER; VORTEX FLOW;

EID: 33748282159     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2338065     Document Type: Article

References (36)

1. M. G. Hall, "Vortex breakdown," Annu. Rev. Fluid Mech. 4, 195 (1972).
2. T. Sarpkaya, "On stationary and travelling vortex breakdowns," J. Fluid Mech. 45, 545 (1971).
3. S. Leibovich, "The structure of vortex breakdown," Annu. Rev. Fluid Mech. 10, 221 (1978).
4. M. P. Escudier, "Vortex breakdown: Observations and explanations," Prog. Aeronaut. Sci. 25, 189 (1988).
5. O. Lucca-Negro and T. O'Doherty, "Vortex breakdown: A review," Prog. Energy Combust. Sci. 27, 431 (2001).
6. J. D. Buntine and P. G. Saffman, "Inviscid swirling flows and vortex breakdown," Proc. R. Soc. London, Ser. A 449, 139 (1995).
7. S. Wang and Z. Rusak, "The dynamics of a swirling flow in a pipe and the transition to axisymmetric vortex breakdown," J. Fluid Mech. 340, 177 (1997).
8. R. Fernandez-Feria and J. Ortega-Casanova, "Inviscid vortex breakdown models in pipes," ZAMP 50, 698 (1999).
9. P. S. Beran and F. E. C. Culick, "The role of nonuniqueness in the development of vortex breakdown in tubes," J. Fluid Mech. 242, 491 (1992).
10. J. M. Lopez, "On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe," Phys. Fluids 6, 3683 (1994).
11. Z. Rusak and J. H. Lee, "The effect of compressibility on the critical swirl of vortex flows in a pipe," J. Fluid Mech. 461, 301 (2002).
12. M. A. Herrada, M. Pérez-Saborid, and A. Barrero, "Vortex breakdown in compressible flows in pipes," Phys. Fluids 15, 2208 (2003).
13. J. C. Tromp and P. S. Beran, "The role of nonuniqueness axisymmetric solutions in 3-d vortex breakdown," Phys. Fluids 9, 992 (1997).
14. M. R. Ruith, P. Chen, E. Meiburg, and T. Maxworhy, "Three-dimensional vortex breakdown in swirling jets and wakes: direct numerical similation," J. Fluid Mech. 486, 331 (2003).
15. F. Gallaire and J.-M. Chomaz, "Mode selection in swirling jet experiments: A linear stability analysis," J. Fluid Mech. 494, 223 (1995).
16. H. Liang and T. Maxworthy, "An experimental investigation of swirling jets," J. Fluid Mech. 525, 115 (2005).
17. B. Pier and P. Huerre, "Nonlinear self-sustained structures and fronts in spatially developing wake flows," J. Fluid Mech. 435, 145 (2001).
18. B. Pier, "On the frequency selection of finite-amplitude vortex shedding in the cylinder wake," J. Fluid Mech. 458, 407 (2002).
19. R. T. Pierrehumbert, "Local and global baroclinic instability of zonally varying flow," J. Atmos. Sci. 41, 2141 (1984).
20. F. Gallaire, M. R. Ruith, E. Meiburg, J. M. Chomaz, and P. Huerre, "Spiral vortex breakdown as a global mode," J. Fluid Mech. 549, 71 (2006).
21. J. H. Faler and S. Leibovich, "An experimental map of the internal structure of a vortex breakdown," J. Fluid Mech. 86, 313 (1977).
22. G. K. Batchelor, "Axial flow in trailing line vortices," J. Fluid Mech. 20, 645 (1964).
23. Fluid Vortices, edited by S. I. Green (Kluwer, Dordrecht, 1995).
24. S. A. Orszag, "Fourier series on spheres," Mon. Weather Rev. 102, 56 (1974).
25. J. M. Lopez, F. Marques, and J. Shen, "An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries ii. three dimensional cases," J. Comput. Phys. 176, 401 (2002).
26. R. E. Lynch, J. R. Rice, and D. H. Thomas, "Direct solution of partial differential equations by tensor product methods," Numer. Math. 6, 85 (1964).
27. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
28. T. J. Bridges and P. J. Morris, "Differential eigenvalue problems in which the parameter appears nonlinearly," J. Comput. Phys. 55, 437 (1984).
29. P. Huerre and P. A. Monkewitz, "Local and global instabilities in spatially developing flows," Annu. Rev. Fluid Mech. 22, 473 (1990).
30. J.-M. Chomaz, "Global instabilities in spatially developing flows: nonnormality and nonlinearity," Annu. Rev. Fluid Mech. 37, 357 (2005).
31. I. Delbende, J.-M. Chomaz, and P. Huerre, "Absolute/convective instabilities in the batchelor vortex: A numerical study of the linear impulse response," J. Fluid Mech. 355, 229 (1998).
32. C. Olendraru, A. Sellier, M. Rossi, and P. Huerre, "Inviscid instability of the batchelor vortex: Absolute-convective transition and spatial branches," Phys. Fluids 11, 1805 (1999).
33. T. Loiseleux, I. Delbende, and P. Huerre, "Absolute and convective instabilities of a swirling jet/wake shear layer" Phys. Fluids 12, 375 (2000).
34. X.-Y. Yin, D.-J. Sun, M.-J. Wei, and J.-Z. Wu, "Absolute and convective character of slender viscous vortices," Phys. Fluids 12, 1062 (2000).
35. C. Olendraru and A. Sellier, "Viscous effects in the absolute-convective instability of the Batchelor vortex," J. Fluid Mech. 459, 371 (2002).
36. A. Sevilla and C. Martinez-Bazan, "Vortex shedding in high Reynolds number axisymmetric bluff-body wakes: Local linear instability and global bleed control," Phys. Fluids 16, 3460 (2004).