Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T06:31:16.007Z Has data issue: false hasContentIssue false

Viscous frictional torque in the flow between two concentric rotating rough cylinders

Published online by Cambridge University Press:  20 April 2006

Koichi Nakabayashi
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Nagoya, Japan
Yutaka Yamada
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Nagoya, Japan
Toshinori Kishimoto
Affiliation:
Shin Meiwa Industry Co., Ltd, Japan

Abstract

This paper describes an experimental study of the effects of surface roughness on the flow between two concentric cylinders, one of which rotates. The surface roughness has some effects on the coefficient of viscous frictional torque CM in the transient and in the fully developed turbulent region. In the fully developed rough turbulent flow, the value of CM depends on both the Reynolds number Rω and the relative roughness rm/k in the case where the outer cylinder rotates, but CM depends only on rm/k in the case where the inner cylinder rotates. The effect of the surface roughness of the inner cylinder is greater than that of the outer one for both cases.

Type
Research Article
Copyright
© 1982 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

Chandrasekhar, S. 1958 The stability of viscous flow between rotating cylinders. Proc. R. Soc. Lond. A 246, 301.Google Scholar
Couette, M. M. 1890 Études sur le frottement des liquides. Ann. Chim. Phys. 6–21, 433.Google Scholar
Davey, A., DiPrima, R. C. & Stuart, J. T. 1968 On the instability of Taylor vortices. J. Fluid Mech. 31, 17.Google Scholar
Donnelly, R. J. 1958 Experiments on the stability of viscous flow between rotating cylinders. Proc. R. Soc. Lond. A 246, 312.Google Scholar
Donnelly, R. J. & Simon, N. J. 1960 An empirical torque relation for supercritical flow between rotating cylinders. J. Fluid Mech. 7, 401.Google Scholar
Eagles, P. M. 1974 On the torque of wavy vortices. J. Fluid Mech. 62, 1.Google Scholar
Nakabayashi, K., Yamada, Y., Mizuhara, S. & Hiraoka, K. 1972 Viscous frictional moment and pressure distribution between eccentric rotating cylinders, when inner cylinder rotates. Trans. Japan Soc. Mech. Engrs 38–312, 2075.Google Scholar
Nakabayashi, K., Yamada, Y. & Yamada, Y. 1977 Flow between eccentric rotating cylinders, where the clearance is relatively large. Bull. Japan Soc. Mech. Engrs 20–114, 725.Google Scholar
Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. Lond. A 223, 289.Google Scholar
Taylor, G. I. 1936 Fluid friction between rotating cylinders. 1. Torque measurements. Proc. R. Soc. Lond. A 157, 546.Google Scholar
Tillman, W. 1961 Zum Reibungsmoment der turbulenten Strömung zwischen rotierenden Zylindern, Forsch. Ing.-Wes. 27, 189.Google Scholar
Vohr, J. H. 1968 An experimental study of Taylor vortices and turbulence in flow between eccentric rotating cylinders. Trans. A.S.M.E. 90, 285.Google Scholar
Wendt, F. 1933 Turbulente Strömungen zwischen zwei rotierenden konaxialen Zylindern. Ing. Arch. 4, 577.Google Scholar
Yamada, Y., Nakabayashi, K. & Suzuki, Y. 1969 Viscous frictional moment between eccentric rotating cylinders when outer cylinder rotates. Bull. Japan Soc. Mech. Engrs 12–53, 1024.Google Scholar
Yamada, Y. & Ito, M. 1976 On the frictional resistance of enclosed rotating cones (2nd report, effects of surface roughness). Bull. Japan. Soc. Mech. Engrs 19–134, 943.Google Scholar