Control of confined vortex breakdown with partial rotating lids

Journal of Fluid Mechanics

Volumn 738, Issue , 2014, Pages 5-33

  Mununga, L ^a   Lo Jacono, D ^a   Sorensen J N ^b   Leweke, T ^c   Thompson, M C ^a   Hourigan, K ^a  

^a MONASH UNIVERSITY   (Australia)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c AIX MARSEILLE UNIVERSITY   (France)

Author keywords

flow control; vortex breakdown; vortex flows

Indexed keywords

FLOW CONTROL; REYNOLDS NUMBER; ROTATION; VORTICITY;

AZIMUTHAL VORTICITY; CRITICAL REYNOLDS NUMBER; CYLINDRICAL VESSELS; DISK DIAMETERS; RECIRCULATING FLOW; ROTATION RATE; UPSTREAM DIRECTION; VORTEX BREAKDOWN;

VORTEX FLOW;

ADVECTION; CYLINDER; FLOW STRUCTURE; REYNOLDS NUMBER; ROTATING FLOW; VORTEX FLOW; VORTICITY;

EID: 84910132104     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2013.596     Document Type: Article

References (48)

1. BENJAMIN, T. B. 1962 Theory of the vortex breakdown phenomenon. J. Fluid Mech. 14, 593-629.
2. BHATTACHARYYA, S. & PAL, A. 1998 Axisymmetric vortex breakdown in a filled cylinder. Intl J. Engng Sci. 36, 555-563.
3. BHATTACHARYYA, S. & PAL, A. 1999 Generation (or degeneration) of a separation bubble in a liquid-filled cylinder through spin-up (or spin-down) process. Trans. ASME: J. Appl. Mech. 66 (4), 1023-1026.
4. BILLANT, P., CHOMAZ, J. M. & HUERRE, P. 1998 Experimental study of vortex breakdown in swirling jets. J. Fluid Mech. 376, 183-219.
5. BRØNS, M., SHEN, W. Z. & SØRENSEN, J. N. 2007 The influence of imperfections on the flow structure of steady vortex breakdown bubbles. J. Fluid Mech. 578, 453-466.
6. BRØNS, M., THOMPSON, M. C. & HOURIGAN, K. 2009 Dye visualization near a three-dimensional stagnation point: application to the vortex breakdown bubble. J. Fluid Mech. 622, 177-194.
7. BROWN, G. L. & LOPEZ, J. M. 1990 Axisymmetric vortex breakdown. Part 2. Physical mechanisms. J. Fluid Mech. 221, 553-576.
8. CABEZA, C., SARASUA, G., MARTI, A. C., BOVE, I., VARELA, S., USERA, G. & VERNET, A. 2010 Influence of coaxial cylinders on the vortex breakdown in a closed flow. Eur. J. Mech. (B/Fluids) 29 (3), 201-207.
9. DUSTING, J., SHERIDAN, J. & HOURIGAN, K. 2006 A fluid dynamics approach to bioreactor design for cell and tissue culture. Biotechnol. Bioengng 94 (6), 1196-1208.
10. ESCUDIER, M. P. 1984 Observations of the flow produced in a cylindrical container by a rotating endwall. Exp. Fluids 2, 189-196.
11. FUJIMURA, K., KOYAMA, H. S. & HYUN, J. M. 1997 Time-dependent vortex breakdown in a cylinder with a rotating lid. Trans. ASME: J. Fluids Engng 119 (2), 450-453.
12. FUJIMURA, K., KOYAMA, H. S. & HYUN, J. M. 2004 An experimental study on vortex breakdown in a differentially-rotating cylindrical container. Exp. Fluids 36, 399-407.
13. GRIFFITH, M. D., LEWEKE, T., THOMPSON, M. C. & HOURIGAN, K. 2009 Pulsatile flow in stenotic geometries: flow behaviour and stability. J. Fluid Mech. 622, 291-320.
14. HERRADA, M. A. & SHTERN, V. 2003a Control of vortex breakdown by temperature gradients. Phys. Fluids 15, 3468-3477.
15. HERRADA, M. A. & SHTERN, V. 2003b Vortex breakdown control by adding near-axis swirl and temperature gradients. Phys. Rev. E 68 (41), 2021-2028.
16. HOURIGAN, K., GRAHAM, L. W. & THOMPSON, M. C. 1995 Spiral streaklines in pre-vortex breakdown regions of axisymmetric swirling flows. Phys. Fluids 7 (12), 3126-3128.
17. HUSAIN, H. S., SHTERN, V. & HUSSAIN, F. 2003 Control of vortex breakdown by addition of near-axis swirl. Phys. Fluids 15, 271-279.
18. ISMADI, M.-Z. P., MEUNIER, P., FOURAS, A. & HOURIGAN, K. 2011 Experimental control of vortex breakdown by density effects. Phys. Fluids 23 (3), 034104.
19. KARNIADAKIS, G. E. & SHERWIN, S. J. 1999 Spectral/hp Element Methods for CFD, 1st edn. Oxford University Press.
20. KELLER, J. J., EGLI, W. & EXLEY, J. 1985 Force- and loss-free transitions between flow states. Z. Angew. Math. Phys. 36, 854-889.
21. LEWEKE, T., THOMPSON, M. C. & HOURIGAN, K. 2004 Vortex dynamics associated with the impact of a sphere with a wall. Phys. Fluids 16 (9), L74-L77.
22. LIOW, K. Y. S., TAN, B. T., THOUAS, G. & THOMPSON, M. C. 2009 CFD modelling of the steady-state momentum and oxygen transport in a bioreactor that is driven by a rotating disk. Mod. Phys. Lett. B 23 (2), 121-127.
23. LO JACONO, D., SØRENSEN, J. N., THOMPSON, M. C. & HOURIGAN, K. 2008 Control of vortex breakdown in a closed cylinder with a small rotating rod. J. Fluids Struct. 24 (8), 1278-1283.
24. LOPEZ, J. M., CUI, Y. D., MARQUES, F. & LIM, T. T. 2008 Quenching of vortex breakdown oscillations via harmonic modulation. J. Fluid Mech. 599, 441-464.
25. MEUNIER, P. & HOURIGAN, K. 2013 Mixing in a vortex breakdown flow. J. Fluid Mech. 731, 195-222.
26. MUNUNGA, L. 2005 Confined flow vortex breakdown study and modelling of mixing in a stirred vessel. PhD thesis, Department of Mechanical Engineering, Monash University, Melbourne, Australia.
27. MUNUNGA, L., HOURIGAN, K., THOMPSON, M. C. & LEWEKE, T. 2004 Confined flow vortex breakdown control using a small disk. Phys. Fluids 16 (12), 4750-4753.
28. OKULOV, V. L., SØRENSEN, J. N. & VOIGT, L. K. 2004 Vortex scenario and bubble generation in a cylinder cavity with rotating top and bottom. Eur. J. Mech. (B/Fluids) 24, 137-148.
29. PIVA, M. & MEIBURG, E. 2005 Steady axisymmetric flow in an open cylindrical container with a partially rotating bottom wall. Phys. Fluids 17 (6), 063603.
30. ROESNER, K. G. 1990 Recirculating zones in a cylinder with rotating lid. Eur. J. Mech. (B/Fluids) 24, 137-148.
31. RONNENBERG, B. 1977 Ein selbstjustierendes 3-Komponenten-Laserdoppleranemometer nach dem Vergleichsstrahlverfahren, angewandt für Untersuchungen in einer stationären zylindersymmetrischen Drehströmung mit einem Rückströmgebiet. Tech. Rep., Max-Planck-Institut für Strömungsforschung.
32. SHTERN, V. N., DEL MAR TORREGROSA, M. & HERRADA, M. A. 2012 Effect of swirl decay on vortex breakdown in a confined steady axisymmetric flow. Phys. Fluids 24, 043601.
33. SPALL, R. E., GATSKI, T. B. & GRESCH, C. E. 1987 A criterion for vortex breakdown. Phys. Fluids 30, 3434-3440.
34. SQUIRE, H. B. 1960 Analysis of the 'vortex-breakdown' phenomenon. Part 1. Imperial College, Aero Department Report 102.
35. TAN, B. T., LIOW, K. Y. S., MUNUNGA, L., THOMPSON, M. C. & HOURIGAN, K. 2009 Simulation of the control of vortex breakdown in a closed cylinder using a small rotating disk. Phys. Fluids 21 (2), 024104.
36. THOMPSON, M. C., LEWEKE, T. & HOURIGAN, K. 2007 Sphere-wall collision: vortex dynamics and stability. J. Fluid Mech. 575, 121-148.
37. THOMPSON, M. C. & HOURIGAN, K. 2003 The sensitivity of steady vortex breakdown bubbles in confined cylinder flows to rotating lid misalignment. J. Fluid Mech. 496, 129-138.
38. THOMPSON, M. C., HOURIGAN, K., CHEUNG, A. & LEWEKE, T. 2006 Hydrodynamics of a particle impact on a wall. Appl. Math. Model. 30 (11), 1356-1369.
39. THOMPSON, M. C., HOURIGAN, K. & SHERIDAN, J. 1996 Three-dimensional instabilities in the wake of a circular cylinder. Exp. Therm. Fluid Sci. 12, 190-196.
40. THOUAS, G. A., SHERIDAN, J. & HOURIGAN, K. 2007 A bioreactor model of mouse tumor progression. J. Biomed. Biotechnol. 9, 32754.
41. VALENTINE, D. T. & JAHNKE, C. C. 1994 Flows induced in a cylinder with both end walls rotating. Phys. Fluids 16, 2702-2710.
42. VENTIKOS, Y. 2002 The effect of imperfections on the emergence of three-dimensionality in stationary vortex breakdown bubbles. Phys. Fluids 14 (3), L13-L16.
43. VOGEL, H. U. 1968 Experimentelle Ergebnisse über die laminare Strömung in einem zylindrischen Gehäuse mit darin rotierender Scheibe. Tech. Rep., Max-Planck Institute.
44. YU, P., LEE, T. S., ZENG, Y. & LOW, H. T. 2005a Effect of vortex breakdown on mass transfer in a cell culture bioreactor. Mod. Phys. Lett. B 19, 1543.
45. YU, P., LEE, T. S., ZENG, Y. & LOW, H. T. 2005b Fluid dynamics of a micro-bioreactor for tissue engineering. Fluid Dyn. Mater. Proc. 1, 235.
46. YU, P., LEE, T. S., ZENG, Y. & LOW, H. T. 2006 Effects of conical lids on vortex breakdown in an enclosed cylindrical chamber. Phys. Fluids 18, 117101.
47. YU, P., LEE, T. S., ZENG, Y. & LOW, H. T. 2007 Characterization of flow behaviour in an enclosed cylinder with a partially rotating end wall. Phys. Fluids 19 (5), 057104.
48. YU, P., LEE, T. S., ZENG, Y. & LOW, H. T. 2009 Fluid dynamics and oxygen transport in a micro-bioreactor with a tissue engineering scaffold. Intl J. Heat Mass Transfer 52, 316-327.