Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-20T02:20:46.796Z Has data issue: false hasContentIssue false
  • English
  • Français

Taylor-vortex instability and annulus-length effects

Published online by Cambridge University Press:  29 March 2006

J. A. Cole
J. A. Cole
Affiliation:
Mechanical Engineering Department, University of Western Australia, Nedlands
Get access Rights & Permissions [Opens in a new window]

Abstract

Critical speeds for the onset of Taylor vortices and for the later development of wavy vortices have been determined from torque measurements and visual observations on concentric cylinders of radius ratios R1/R2 = 0·894–0·954 for a range of values of the clearance c and length L: c/R1 = 0·0478–0·119 and L/c = 1–107. Effectively zero variation of the Taylor critical speed with annulus length was observed. The speed at the onset of wavy vortices was found to increase considerably as the annulus length was reduced and theoretical predictions are realistic only for L/c values exceeding say 40. The results were similar for all four clearance ratios examined. Preliminary measurements on eccentrically positioned cylinders with c/R1 = 0·119 showed corresponding effects.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 1 , 13 May 1976 , pp. 1 - 15
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benjamin, T. B. 1975 The alliance of practical and analytical insights into the non-linear problems of fluid mechanics. University of Essex Fluid Mech. Res. Inst. Rep. no. 67.Google Scholar
Cole, J. A. 1969 Taylor vortices with eccentric rotating cylinders Nature, 221, 253–4.Google Scholar
Cole, J. A. 1971 Further experiments on Taylor vortices between eccentric rotating cylinders. Proc. 4th Austral. Conf. on Hydraul. & Fluid Mech., pp. 27–34.Google Scholar
Cole, J. A. 1974a Taylor vortices with short rotating cylinders J. Fluids Engng, 96, 69–70.Google Scholar
Cole, J. A. 1974b Taylor vortex behaviour in annular clearances of limited length. Proc. 5th Austral. Conf. on Hydraul. & Fluid Mech., pp. 514–21.Google Scholar
Coles, D. 1965 Transition in circular Couette flow J. Fluid Mech. 21, 385–425.Google Scholar
Davey, A., Diprima, R. C. & Stuart, J. T. 1968 On the instability of Taylor vortices J. Fluid Mech. 31, 17–52.Google Scholar
Diprima, R. C. & Stuart, J. T. 1972 Non-local effects in the stability of flow between eccentric rotating cylinders J. Fluid Mech. 54, 393–415.Google Scholar
Diprima, R. C. & Stuart, J. T. 1975 The nonlinear calculation of Taylor-vortex flow between eccentric rotating cylinders J. Fluid Mech. 67, 85–111.Google Scholar
Eagles, P. M. 1971 On the stability of Taylor vortices by fifth-order amplitude expansions J. Fluid Mech. 49, 529–550.Google Scholar
Snyder, H. A. 1969a Wave-number selection at finite amplitude in rotating Couette flow J. Fluid Mech. 35, 273–298.Google Scholar
Snyder, H. A. 1969b Change in wave-form and mean flow associated with wavelength variations in rotating Couette flow J. Fluid Mech. 35, 337–352.Google Scholar
Vohr, J. H. 1968 An experimental study of Taylor vortices and turbulence in flow between eccentric rotating cylinders. J. Lubrication Tech., Trans. A.S.M.E. F 90, 285–810.Google Scholar
Walowit, J., Tsao, S. & Diprima, R. C. 1964 Stability of flow between arbitrarily spaced concentric cylindrical surfaces including the effect of a radial temperature gradient. Trans. A.S.M.E. E 86, 585–810.Google Scholar
Weinstein, M. 1975 Linear and non-linear instability between two eccentric cylinders. Ph.D. thesis, University of London.