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Vortex breakdown in a rotating cylindrical cavity

Published online by Cambridge University Press:  19 April 2006

J. M. Owen  and
J. R. Pincombe
J. M. Owen
Affiliation:
School of Engineering and Applied Sciences, University of Sussex, Falmer, Brighton BN1 9QT, England
J. R. Pincombe
Affiliation:
School of Engineering and Applied Sciences, University of Sussex, Falmer, Brighton BN1 9QT, England
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Abstract

Flow visualization, laser-Doppler anemometry and pressure measurements have been used to identify and delineate the regimes of vortex breakdown in a rotating cavity with a central axial flow of air. For the particular cavity tested (where the ratio of the outer to the inner radius was ten and the ratio of the axial width to the inner radius was approximately five), spiral breakdown and axisymmetric breakdown occur in both laminar and turbulent flow. Rossby numbers ε characterizing the boundaries between the breakdown modes were established from visual observations of flow behaviour, from discontinuities in velocity components and in the pressure drop across the cavity, and from changes in the velocity spectra. In laminar flow, spiral breakdown occurs for 1·6 [lsim ] ε [lsim ] 3·2 and axisymmetric breakdown occurs for 0·8 [lsim ] ε [lsim ] 1·5. In turbulent flow, spiral breakdown occurs for 21 [lsim ] ε [lsim ] 100 and 1·5 [lsim ] ε [lsim ] 2·6, and axisymmetric breakdown occurs for 2·6 [lsim ] ε [lsim ] 21 and 0·8 [lsim ] ε [lsim ] 1·5. At the higher Rossby numbers, the flow under laminar conditions is significantly different to that under turbulent conditions; at the lower Rossby numbers, it was found to be impossible to distinguish between laminar and turbulent flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 1 , 16 January 1979 , pp. 109 - 127
Copyright
© 1979 Cambridge University Press

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References

Benjamin, T. B. 1962 Theory of the vortex breakdown phenomenon. J. Fluid Mech. 14, 593.Google Scholar
Benjamin, T. B. 1967 Some developments in the theory of vortex breakdown. J. Fluid Mech. 28, 65.Google Scholar
Burson, J. H., Keng, E. Y. H. & Orr, C. 1967 Particle dynamics in centrifugal fields. Powder Tech. 1, 305.Google Scholar
Grabowski, W. J. & Berger, S. A. 1976 Solutions of the Navier—Stokes equations for vortex breakdown. J. Fluid Mech. 75, 525.Google Scholar
Hall, M. G. 1972 Vortex breakdown. Ann. Rev. Fluid Mech. 4, 195.Google Scholar
Harvey, J. K. 1962 Some observations of the vortex breakdown phenomenon. J. Fluid Mech. 14, 585.Google Scholar
Kirkpatrick, D. L. I. 1964 Experimental investigation of the breakdown of a vortex in a tube. R.A.E. Tech. Note Aero 2963.Google Scholar
Mager, A. 1972 Dissipation and breakdown of a wing-tip vortex. J. Fluid Mech. 55, 609.Google Scholar
Melling, A. & Whitelaw, J. H. 1973 Seeding of gas flows for laser anemometry. DISA Inf. 15, 5.Google Scholar
Owen, J. M. & Bilimoria, E. D. 1977 Heat transfer in rotating cylindrical cavities. J. Mech. Engng Sci. 19, 175.Google Scholar
Owen, J. M. & Pincombe, J. R. 1977 Vortex breakdown in a rotating cylindrical cavity. School Engng Appl. Sci., Univ. Sussex Rep. no. 76/Me/79.Google Scholar
Sarpkaya, T. 1971 On stationary and travelling vortex breakdowns. J. Fluid Mech. 45, 545.Google Scholar
Yu, J. P., Sparrow, E. M. & Eckert, E. R. G. 1973 Experiments on a shrouded parallel disk system with rotation and coolant throughflow. Int. J. Heat Mass Transfer 16, 311.Google Scholar