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Flow in the half-filled annulus between horizontal concentric cylinders in relative rotation

Published online by Cambridge University Press:  26 April 2006

K. S. Chen ,
A. C. Ku ,
T. M. Chan  and
S. Z. Yang
K. S. Chen
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC Current address: Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan, ROC.
A. C. Ku
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC
T. M. Chan
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC
S. Z. Yang
Affiliation:
Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung, Taiwan, ROC
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Abstract

Experimental and theoretical results are presented for the flow in a half-filled annulus between horizontal concentric cylinders with the inner one rotating and the outer one at rest. A laser-Doppler velocimeter was used to measure the mean tangential and/or corresponding turbulent velocity distributions for both the laminar and turbulent regimes. Colour dyes were also used to visualize the flow patterns. The Reynolds number based on the gap width varied from 67 to 3242, which corresponds to a Taylor number ranging from 25 to 1200. From the graph of local moment coefficient versus Taylor number and the visualization results, laminar, transition and turbulent regimes are identified. In the analysis, the governing equations are expressed in stream-function and vorticity forms and expanded in terms of the power series of the annulus aspect ratio. The zero- and first-order solutions are then solved numerically. Various features of the flow, in particular the presence of vortices in the exit end region and their absence from the entry end region, predicted in the analysis, are confirmed by the experimental findings.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 213 , April 1990 , pp. 149 - 169
Copyright
© 1990 Cambridge University Press

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References

Brewster, D. B., Grosberg, P. & Nissan, A. H. 1959 The stability of viscous flow between horizontal concentric cylinders.. Proc. R. Soc. Lond. A 251, 76–91.Google Scholar
Bye, J. A. T. 1966 Numerical solution of steady-state vorticity equation in rectangular basins. J. Fluid Mech. 26, 577–598.Google Scholar
Chan, T. M. 1988 Theoretical investigation of laminar flow in half-filled. horizontal, concentric, cylinders with inner one rotating and outer one at rest. M.S. Thesis. Dept. of Mech. Engng, National Sun Yat-Sen University, Taiwan.
Chen, K. S. & Chan, T. M. 1988 Local-nonsimilar solutions of laminar flow in half-filled horizontal concentric cylinders with inner one rotating and outer one at rest. In 3rd Intl Symp. on Transport Phenomena in Thermal Control, Taipei, Taiwan, pp. 679–692.
Chen, K. S., Yang, S. Z. & Humphrey, J. A. C. 1988 Experimental investigation of flow in half-filled horizontal concentric cylinders with inner one rotating and outer one at rest In 3rd Intl Symp. on Transport Phenomena in Thermal Control, Taipei, Taiwan, pp. 693–705.
Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385–425.Google Scholar
Davey, A. 1962 The growth of Taylor vortices in flow between rotating cylinders. J. Fluid Mech. 14, 336–368.Google Scholar
Duty, R. L. & Reid, W. H. 1964 On stability of viscous flow between rotating cylinder. J. Fluid Mech. 20, 81–94.Google Scholar
Komoda, A. Y. 1983 An outline of new electro-galvanizing line (KMRCEL). Kawasaki Steel Tech. Rep. 8, pp. 17–27Google Scholar
Meksyn, D. 1946 Stability of viscous flow between rotating cylinders. Proc. R. Soc. Lond. A 187, 115–128.Google Scholar
Nabatame, M. 1984 An outline of Fukuyama no. 3 electrolytic galvanizing line. Nippon Kokan Tech. Rep. (Overseas) 40, pp. 9–16.Google Scholar
Schreiber, R. & Keller, H. B. 1983 Driven cavity flow by efficient numerical techniques. J. Comput. Phys. 49, 310–333.Google Scholar
Steinman, H. 1956 The stability of viscous flow between rotating cylinders. Q. Appl. Maths 14, 27–33.Google Scholar
Stuart, J. T. 1958 On nonlinear mechanics of hydrodynamic stability. J. Fluid Mech. 4, 1–21.Google Scholar
Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders.. Phil. Trans. R. Soc. Lond. A 223, 289–343.Google Scholar
Taylor, G. I. 1936 Fluid friction between rotating cylinders. I. Torque measurements.. Proc. R. Soc. Lond. A 57, 546–564.Google Scholar
White, F. M. 1978 Viscous Fluid Flow. McGraw Hill.