Abstract
Time-dependent velocity profiles V z (z, t) have been measured in a cylindrical Couette system for a range of Reynolds numbers corresponding to wavy vortex flow (WVF) and modulated wavy vortex flow (MWV). The spatial distribution of the power spectrum was obtained and the behaviour of the dynamic properties of WVF and MWV was investigated with respect to Reynolds number (Re) at four corners of cells (inside-outside and Inflow-Outflow). All modes of f 1, f 2 and B were found to be equally strong and broad at different corners for lower Re number. At large Re, however, f 2 remains broad only at the outside-Inflow corner, while B is strong at Outflow. It was also found that B disappears at the outside-Inflow corner for R * > 18. These results suggest that the dynamic properties of WVF and MWV would have a spatial dependence within a cell structure scale.
Similar content being viewed by others
References
Ahlers, G.; Cannel, D. S.; Dominguez Lerma, M. A. 1982: Fractional mode numbers in wavy Taylor vortex flow. Phys. Rev. Lett. 49, 368–371
Ahlers, G.; Cannel, D. S.; Dominguez Lerma, M. A. 1983: Possible mechanism for transitions in wavy Taylor-vortex flow. Phys. Rev. A, 27, 1225–1227
Aitta, A.; Ahlers, G.; Cannell, D. 1985: Tricritical phenomena in rotating Couette-Taylor flow. Phys. Rev. Lett. 54, 673–676
Andereck, C. D.; Liu, S. S.; Swinney, H. L. 1986: Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155–183
Bouabdallah, A.; Cognet, G. 1980: Laminar-turbulent transition in Taylor-Couette flow. In: Laminar-turbulent transition, ed. by R. Eppler and H. Fasel, Springer, Berlin Heidelberg New York, pp 368–377
Cole, J. A. 1974: Taylor vortices with short rotating cylinders. J. Fluid Eng. 96, 69–70
Coles, D. 1965: Transition in circular Couette flow. J. Fluid Mech. 21, 385–425
Di Prima, C.; Swinney, H. L. 1985: Instabilities and transition in flow between concentric rotating cylinders, in hydrodynamic instabilities and the transition to turbulence, Eds. H. L. Swinney and J. P. Gollub, p 139, Springer, Berlin Heidelberg New York
Fenstermacher, P. R.; Swinney, H. L.; Gollub, J. P. 1979: Dynamical instabilities and the transition to chaotic Taylor vortex flow. J. Fluid Mech. 94, 103–128
Gorman, M.; Swinney, H. L. 1979: Visual observation of the second characteristic mode in a quasiperiodic flow. Phys. Rev. Lett. 43, 1871–1874
Gorman, M.; Swinney, H. L. 1982: Spatial and temporal characteristics of modulated waves in the circular Couette system. J. Fluid Mech. 117, 123–142
Heinrichs, R.; Ahlers, G.; Cannell, D. 1986: Effects of finite geometry on the wave number of Taylor-vortex flow. Phys. Rev. Lett. 56, 1794–1797
Heinrichs, R.; Cannell, D.; Ahlers, G.; Jefferson, M. 1988: Experimental test of perturbation expansion for the Taylor instability at various wave numbers. Phys. Fluids 31, 250–255
Marcus, P. S. 1984: Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave. J. Fluid Mech. 146, 65–113
Park, K.; Crawford, G. L.; Donnelly, R. J. 1983: Characteristic lengths in the wavy vortex state of Taylor-Couette flow. Phys. Rev. Lett. 51, 1352–1354
Pfister, G.; Rehberg, I. 1981: Space-dependent order parameter in circular Couette flow transition. Phys. Lett. 83A, 19–22
Shaw, R. S.; Andereck, C. D.; Reith, L. A.; Swinney, H. L. 1982: Superposition of travelling waves in the circular Couette system. Phys. Rev. Lett. 48, 1172–1175
Snyder, H. A. 1969: Wave-number selection at finite amplitude in rotating Couette flow. J. Fluid Mech. 35, 273–298
Tagg, R.; Edwards, W. S.; Swinney, H. L. 1989: Nonlinear standing waves in Couette-Taylor flow. Phys. Rev. A, 39, 3734–3737
Takeda, Y. 1985: Velocity profile measurement by ultrasound Doppler shift method. In: Fluid control and measurement, Ed. M. Harada, pp 851, Tokyo: Pergamon
Takeda, Y. 1986: Velocity profile measurement by ultrasound Doppler shift method. Int. J. Heat Fluid Flow 7, 313–318
Takeda, Y. 1987: Measurement of velocity profile of mercury flow by ultrasound Doppler shift method. Nucl. Technol. 79, 120–124
Takeda, Y. 1989a: Velocity profile measurement by ultrasonic Doppler shift method, National Heat Transfer Conference, ASME Publications HTD-Vol. 112, 155–162
Takeda, Y. 1989b: Development of ultrasound velocity profile monitor (UVP) and its experience, Proceedings 4th Int. Topical Meeting on Nuclear Reactor Thermal Hydraulics, Karlsruhe, FRG, p. 418–423
Takeda, Y. 1990: Development of ultrasound velocity profile monitor (UVP). Nucl. Eng. Design 126, 277–284
Takeda, Y; Kobashi, K.; Fischer, W. E. 1990: Observation of the transient behaviour of Taylor vortex flow between rotating concentric cylinders after sudden start. Exp. Fluids 9, 317–319
Walden, R. W.; Donnely, R. J. 1979: Reemergent order of chaotic circular Couette Flow. Phys. Rev. Lett. 42, 301–304
Weisshaar, E.; Busse, F. H.; Nagata, M. 1991: Twist vortices and their instabilities in the Taylor-Couette system. J. Fluid Mech. 226, 549–564
Zhang, L. H.; Swinney, H. L. 1985: Nonpropagating oscillatory modes in Couette-Taylor flow. Phys. Rev. A 31, 1006–1009
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Takeda, Y., Fischer, W.E., Kobashi, K. et al. Spatial characteristics of dynamic properties of modulated wavy vortex flow in a rotating Couette system. Experiments in Fluids 13, 199–207 (1992). https://doi.org/10.1007/BF00218167
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00218167