Symmetry breaking in free-surface cylinder flows

Journal of Fluid Mechanics

Volumn 502, Issue , 2004, Pages 99-126

  Lopez, J M ^a   Marques, F ^b   Hirsa, A H ^c   Miraghaie, R ^c  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY LAYER FLOW; CYLINDERS (SHAPES); NUMERICAL METHODS; PERTURBATION TECHNIQUES; STRESS ANALYSIS; WALL FLOW;

FREE-SURFACE CYLINDER FLOWS;

FLOW MEASUREMENT;

CYLINDER; FLUID MECHANICS; FREE SURFACE FLOW; NAVIER-STOKES EQUATIONS; PARTICLE IMAGE VELOCIMETRY; SYMMETRY;

EID: 2542610304     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003007481     Document Type: Article

References (38)

1. BLACKBURN, H. M. & LOPEZ, J. M. 2002 Modulated rotating waves in an enclosed swirling flow. J. Fluid Mech. 465, 33-58.
2. BRONS, M., VOIGT, L. K. & SORENSEN, J. N. 2001 Topology of vortex breakdown bubbles in a cylinder with a rotating bottom and a free surface. J. Fluid Mech. 428, 133-148.
3. BUSSE, F. H. & BOLTON, E. W. 1984 Instabilities of convection rolls with stress-free boundaries near threshold. J. Fluid Mech. 146, 115-125.
4. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
5. DAVIES, J. T. & RIDEAL, E. K. 1963 Interfacial Phenomena. Academic.
6. ESCUDIER, M. P. 1984 Observations of the flow produced in a cylindrical container by a rotating endwall. Exps. Fluids 2, 189-196.
7. GELFGAT, A. Y., BAR-YOSEPH, P. Z. & SOLAN, A. 2001 Three-dimensional instability of axisymmetric flow in a rotating lid-cylinder enclosure. J. Fluid Mech. 438, 363-377.
8. GOLDSTEIN, H. F., KNOBLOCH, E., MERCADER, I. & NET, M. 1993 Convection in a rotating cylinder. Part 1. Linear theory for moderate Prandtl numbers. J. Fluid Mech. 248, 583-604.
9. HANDLER, R. A., SAYLOR, J., LEIGHTON, R. I. & ROVELSTAD, A. L. 1999 Transport of a passive scalar at a shear-free boundary in fully developed turbulent open channel flow. Phys. Fluids 11, 2607-2625.
10. HIRSA, A. H., LOPEZ, J. M. & MIRAGHAIE, R. 2001 Measurement and computation of hydrodynamic coupling at an air/water interface in the presence of an insoluble monolayer. J. Fluid Mech. 443, 271-292.
11. HIRSA, A. H., LOPEZ, J. M. & MIRAGHAIE, R. 2002a Determination of surface shear viscosity via deep-channel flow with inertia. J. Fluid Mech. 470, 135-149.
12. HIRSA, A. H., LOPEZ, J. M. & MIRAGHAIE, R. 2002b Symmetry breaking to a rotating wave in a lid-driven cylinder with a free surface: Experimental observation. Phys. Fluids 14, L29-L32.
13. HUNT, J. C. R. 1984 Turbulence structure in thermal convection and shear-free boundary layers. J. Fluid Mech. 138, 161-184.
14. IOOSS, G. & ADELMEYER, M. 1998 Topics in Bifurcation Theory and Applications, 2nd edn. World Scientific.
15. LAMB, J. S. W. & MELBOURNE, I. 1999 Bifurcation from discrete rotating waves. Arch. Rat. Mech. Anal. 149, 229-270.
16. LOPEZ, J. M. 1990 Axisymmetric vortex breakdown: Part 1. Confined swirling flow. J. Fluid Mech. 221, 533-552.
17. LOPEZ, J. M. 1995 Unsteady swirling flow in an enclosed cylinder with reflectional symmetry. Phys. Fluids 7, 2700-2714.
18. LOPEZ, J. M. & HIRSA, A. 2000 Surfactant influenced gas/liquid interfaces: Nonlinear equation of state and finite surface viscosities. J. Colloid Interface Sci. 229, 575-583.
19. LOPEZ, J. M., MARQUES, F. & SHEN, J. 2002 An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries II. Three dimensional cases. J. Comput. Phys. 176, 384-401.
20. LUGT, H. J. 1996 Introduction to Vortex Theory. Potomac, Maryland: Vortex Flow Press.
21. MARQUES, F. & LOPEZ, J. M. 2001 Precessing vortex breakdown mode in an enclosed cylinder flow. Phys. Fluids 13, 1679-1682.
22. MARQUES, F., LOPEZ, J. M. & SHEN, J. 2002 Mode interactions in an enclosed swirling flow: a double Hopf bifurcation between azimuthal wavenumbers 0 and 2. J. Fluid Mech. 455, 263-281.
23. MARSDEN, J. E. & MCCRACKEN, M. 1976 The Hopf Bifurcation and Its Applications. Springer.
24. MIRAGHAIE, R. 2002 Experimental investigation of interfacial hydrodynamics of swirling flow in the presence of insoluble monolayers. PhD thesis. Department of Mechanical Engineering, Rensselaer Polytechnic Institute.
25. NORE, C., TUCKERMAN, L. S., DAUBE, O. & XIN, S. 2003 The 1:2 mode interaction in exactly counter-rotating von Karman swirling flow. J. Fluid Mech. 477, 51-88.
26. PAN, Y. & BANERJEE, S. 1995 Numerical study of free-surface turbulence in channel flow. Phys. Fluids 7, 1649-1664.
27. SCHEEL, S. & SEEHAFER, N. 1997 Bifurcation to oscillations in three-dimensional Rayleigh-Bénard convection. Phys. Rev. E 56, 5511-5516.
28. SCHLICHTING, H. & KESTIN, J. 1979 Boundary-Layer Theory, 7th edn. McGraw-Hill.
29. SCOTT, J. C. 1975 The preparation of water for surface-clean fluid mechanics. J. Fluid Mech. 69, 339-351.
30. SPOHN, A. 1991 Ecoulement et éclatement tourbillonnaires engendrés par un disque tournant dans une enceinte cylindrique. PhD thesis, l'Universite Joseph-Fourier, Grenoble I.
31. SPOHN, A. & DAUBE, O. 1991 Recirculating flows in a cylindrical tank. In Computational Methods and Experimental Measurements V. Montreal, 1991 (ed. A. Sousa, C. A. Brebbia & G. M. Carlomagno), pp. 155-166. Elsevier.
32. SPOHN, A., MORY, M. & HOPFINGER, E. J. 1993 Observations of vortex breakdown in an open cylindrical container with a rotating bottom. Exps. Fluids 14, 70-77.
33. SPOHN, A., MORY, M. & HOPFINGER, E. J. 1998 Experiments on vortex breakdown in a confined flow generated by a rotating disk. J. Fluid Mech. 370, 73-99.
34. STEVENS, J. I., LOPEZ, J. M. & CANTWELL, B. J. 1999 Oscillatory flow states in an enclosed cylinder with a rotating endwall. J. Fluid Mech 389, 101-118.
35. TEIXEIRA, M. A. C. & BELCHER, S. E. 2000 Dissipation of shear-free turbulence near boundaries. J. Fluid Mech. 422, 167-191.
36. VALENTINE, D. T. & JAHNKE, C. C. 1994 Flows induced in a cylinder with both end walls rotating. Phys. Fluids 6, 2702-2710.
37. WALKER, D. T., LEIGHTON, R. I. & GARZA-RIOS, L. 1996 Shear-free turbulence near a flat free surface. J. Fluid Mech. 320, 19-51.
38. YOUNG, D. I., SHEEN, H. J. & HWU, T Y. 1995 Period-doubling route to chaos for a swirling flow in an open cylindrical container with a rotating-disk. Exps. Fluids 18, 389-392.