Harmonically forced enclosed swirling flow

Physics of Fluids

Volumn 21, Issue 3, 2009, Pages

  Cui, Y D ^a   Lopez, J M ^b   Lim, T T ^a   Marques, F ^c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b ARIZONA STATE UNIVERSITY   (United States)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; CIRCULAR CYLINDERS; VORTEX FLOW;

EIGEN FREQUENCIES; FORCING FREQUENCIES; HARMONIC MODULATIONS; OSCILLATION AMPLITUDE; RECIRCULATION ZONES; ROTATING END WALL; SYNCHRONOUS FLOWS; WALL OSCILLATIONS;

OSCILLATING FLOW;

EID: 64249167606     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3093236     Document Type: Article

References (34)

1. P. Yu, T. S. Lee, Y. Zeng, and H. T. Low, "Fluid dynamics of a micro-bioreactor for tissue engineering," Fluid Dyn. Mater. Process. ZZZZZZ1555-256X 1, 235 (2005).
2. P. Yu, T. S. Lee, Y. Zeng, and H. T. Low, "Effect of vortex breakdown on mass transfer in a cell culture bioreactor," Mod. Phys. Lett. B MPLBET0217-984910.1142/S0217984905009869 19, 1543 (2005).
3. J. Dusting, J. Sheridan, and K. Hourigan, "A fluid dynamics approach to bioreactor design for cell and tissue culture," Biotechnol. Bioeng. BIBIAU0006-359210.1002/bit.20960 94, 1196 (2006).
4. G. A. Thouas, J. Sheridan, and K. Hourigan, "A bioreactor model of mouse tumor progression," J. Biomed. Biotechnol. JBBOAJ1110-724310.1155/2007/32754 2007, 32754 (2007).
5. P. Yu, T. S. Lee, Y. Zeng, and H. T. Low, "Characterization of flow behavior in an enclosed cylinder with partially rotating end wall," Phys. Fluids PHFLE61070-663110.1063/1.2731420 19, 057104 (2007).
6. J. M. Lopez and A. D. Perry, "Axisymmetric vortex breakdown: Part 3. Onset of periodic flow and chaotic advection," J. Fluid Mech. JFLSA70022-112010.1017/S0022112092000867 234, 449 (1992).
7. J. M. Lopez, Y. D. Cui, F. Marques, and T. T. Lim, "Quenching of vortex breakdown oscillations via harmonic modulation," J. Fluid Mech. JFLSA70022-1120 599, 441 (2008).
8. V. I. Arnold, "Small denominators. I. Mappings of the circumference onto itself," AMS Trans Series 2 46, 213 (1965) (translated from Russian).
9. J. M. Lopez, F. Marques, and J. Sanchez, "Oscillatory modes in an enclosed swirling flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112001004293 439, 109 (2001).
10. J. L. Stevens, J. M. Lopez, and B. J. Cantwell, "Oscillatory flow states in an enclosed cylinder with a rotating endwall," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099004644 389, 101 (1999).
11. H. M. Blackburn and J. M. Lopez, "Modulated rotating waves in an enclosed swirling flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112002008893 465, 33 (2002).
12. S. H. Davis, "The stability of time-periodic flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fl.08.010176.000421 8, 57 (1976).
13. A. Y. Weisberg, I. G. Kevrekidis, and A. J. Smits, "Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097006630 348, 141 (1997).
14. F. Marques and J. M. Lopez, "Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097006058 348, 153 (1997).
15. M. Sinha, I. G. Kevrekidis, and A. J. Smits, "Experimental study of a Neimark-Sacker bifurcation in axially forced Taylor-Couette flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006009207 558, 1 (2006).
16. M. Avila, F. Marques, J. M. Lopez, and A. Meseguer, "Stability control and catastrophic transition in a forced Taylor-Couette system," J. Fluid Mech. JFLSA70022-1120 590, 471 (2007).
17. P. Le Gal, A. Nadim, and M. Thompson, "Hysteresis in the forced Stuart-Landau equation: Application to vortex shedding from an oscillating cylinder," J. Fluids Struct. ZZZZZZ0889-9746 15, 445 (2001).
18. J. S. Leontini, M. C. Thompson, and K. Hourigan, "Three-dimensional transition in the wake of a transversely oscillating cylinder," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006004320 577, 79 (2007).
19. M. J. Vogel, A. H. Hirsa, and J. M. Lopez, "Spatio-temporal dynamics of a periodically driven cavity flow," J. Fluid Mech. JFLSA70022-112010.1017/S002211200200349X 478, 197 (2003).
20. H. M. Blackburn and J. M. Lopez, "The onset of three-dimensional standing and modulated travelling waves in a periodically driven cavity flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003006670 497, 289 (2003).
21. F. Marques, J. M. Lopez, and H. M. Blackburn, "Bifurcations in systems with Z2 spatio-temporal and O(2) spatial symmetry," Physica D PDNPDT0167-278910.1016/j.physd.2003.09.041 189, 247 (2004).
22. J. J. F. Leung, A. H. Hirsa, H. M. Blackburn, F. Marques, and J. M. Lopez, "Three-dimensional modes in a periodically driven elongated cavity," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.71.026305 71, 026305 (2005).
23. J. J. Niemela, M. R. Smith, and R. J. Donnelly, "Convective instability with time-varying rotation," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.44.8406 44, 8406 (1991).
24. K. L. Thompson, K. M. S. Bajaj, and G. Ahlers, "Traveling concentric-roll patterns in Rayleigh-Bénard convection with modulated rotation," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.65.046218 65, 046218 (2002).
25. A. Rubio, J. M. Lopez, and F. Marques, "Modulated rotating convection: Radially travelling concentric rolls," J. Fluid Mech. JFLSA70022-1120 608, 357 (2008).
26. A. Rubio, J. M. Lopez, and F. Marques, "Interacting oscillatory boundary layers and wall modes in modulated rotating convection," J. Fluid Mech. JFLSA70022-1120 625, 75 (2009).
27. D. M. Slater, C. A. López, A. H. Hirsa, and P. H. Steen, "Chaotic motions of a forced droplet-droplet oscillator," Phys. Fluids PHFLE61070-663110.1063/1.2982372 20, 092107 (2008).
28. S. Hugues and A. Randriamampianina, "An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations," Int. J. Numer. Methods Fluids IJNFDW0271-209110.1002/ (SICI)1097-0363(19980915)28:3<501::AID-FLD730>3.0.CO;2-S 28, 501 (1998).
29. J. M. Lopez, Y. D. Cui, and T. T. Lim, "An experimental and numerical investigation of the competition between axisymmetric time-periodic modes in an enclosed swirling flow," Phys. Fluids PHFLE61070-663110.1063/1.2362782 18, 104106 (2006).
30. A. Y. Gelfgat, P. Z. Bar-Yoseph, and A. Solan, "Three-dimensional instability of axisymmetric flow in a rotating lid-cylinder enclosure," J. Fluid Mech. JFLSA70022-112010.1017/S0022112001004566 438, 363 (2001).
31. J. J. Allen and J. M. Lopez, "Transition processes for junction vortex flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112007006805 585, 457 (2007).
32. D. D. Joseph, Stability of Fluid Motions I (Springer-Verlag, New York, 1976).
33. J. M. Gambaudo, "Perturbation of a Hopf bifurcation by an external time-periodic forcing," J. Differ. Equations JDEQAK0022-039610.1016/ 0022-0396(85)90076-2 57, 172 (1985).
34. 2 also follows.