Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T07:20:31.882Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary-layer transition and the behaviour of spiral vortices on rotating spheres

Published online by Cambridge University Press:  20 April 2006

Y. Kohama  and
R. Kobayashi
Y. Kohama
Affiliation:
Institute of High Speed Mechanics, Tohoku University, Sendai, Japan
R. Kobayashi
Affiliation:
Institute of High Speed Mechanics, Tohoku University, Sendai, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The mechanism of boundary-layer transition and the behaviour of spiral vortices on spheres rotating in otherwise undisturbed fluid were investigated experimentally. Critical and transition Reynolds numbers which determine the laminar-turbulent transition regime on the sphere surface were measured. In addition the number of spiral vortices on the sphere and the direction of the vortex axis were clarified.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 137 , December 1983 , pp. 153 - 164
Copyright
© 1983 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

Banks, W. H. H. 1965 The boundary layer on a rotating sphere Q. J. Mech. Appl. Maths. 18, 443–454.Google Scholar
Banks, W. H. H. 1976 The laminar boundary layer on a rotating sphere Acta Mech. 24, 273–287.Google Scholar
Bowden, F. P. & Lord, R. G. 1963 The aerodynamic resistance to a sphere rotating at high speed. Proc. R. Soc. Lond A 271, 143–151.Google Scholar
Gregory, N., Stuart, J. T. & Walker, W. S. 1955 On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. R. Soc. Lond A 248, 155–199.Google Scholar
Howarth, L. 1951 Note on the boundary layer on a rotating sphere Phil. Mag. 42, 1308–1315.Google Scholar
Ito, A. 1980 The generation and breakdown of longitudinal vortices along a concave wall (in Japanese) J. Japan Soc. Aeron. Space Sci. 28, 327–333.Google Scholar
Kirchner, R. P. & Chen, C. F. 1970 Stability of time-dependent rotational Couette flow. Part 1. Experimental investigation J. Fluid Mech. 40, 39–47.Google Scholar
Kobashi, Y. 1957 Measurements of boundary layer of a rotating sphere. J. Sci., Hiroshima Univ A 20, 149–157.Google Scholar
Kobayashi, R., Kohama, Y. & Takamadate, C. 1980 Spiral vortices in boundary layer transition regime on a rotating disk Acta Mech. 35, 71–82.Google Scholar
Kobayashi, R., Kohama, Y. & Kurosawa, M. 1983 Boundary-layer transition on a rotating cone in axial flow J. Fluid Mech. 127, 341–352.Google Scholar
Kobayashi, R. & Izumi, H. 1983 Boundary-layer transition on a rotating cone in still fluid J. Fluid Mech. 127, 353–364.Google Scholar
Kreith, F. et al. 1963 Convection heat transfer and flow phenomena on rotating spheres Intl J. Heat Mass Transfer 6, 881–895.Google Scholar
Manohar, R. 1967 The boundary layer on a rotating sphere Z angew. Math. Phys. 18, 320–330.Google Scholar
Nigam, S. D. 1954 Note on the boundary layer on a rotating sphere Z. angew. Math. Phys. 5, 151–155.Google Scholar
Sawatzki, O. 1970 Das Strömungsfeld um eine rotierende Kugel Acta Mech. 9, 159–214.Google Scholar
Singh, S. N. 1970 Laminar boundary layer on a rotating sphere Phys. Fluids 13, 2452–2454.Google Scholar
Stewartson, K. 1955 On rotating laminar boundary layers. 50 Jahre Grenzschichtforschung, Freiburg i. Br., pp. 59–71.Google Scholar
Theodorsen, T. & Regier, A. 1944 Experiments on drag of revolving disks, cylinders, and streamline rods at high speeds. NACA Rep. 793, pp. 367–384.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. ASME E: J. Appl. Mech. 31, 585–810.Google Scholar
Yamabe, H., Nishida, S. & Ito, J. 1982 Laminar boundary layer on a rotating sphere (in Japanese) Bull. Japan Soc. Mech. Engrs 239, 62–64.Google Scholar