Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T15:27:55.379Z Has data issue: false hasContentIssue false

Steady flow between a rotating circular cylinder and fixed square cylinder

Published online by Cambridge University Press:  19 April 2006

E. Lewis
Affiliation:
Department of Mathematics, University of Bristol, England

Abstract

Numerical solutions have been obtained for the problem of steady, incompressible, viscous flow between two infinite concentric cylinders, the cross-sections of the inner and outer cylinders being circular and square respectively. The square cylinder is fixed and the flow is driven by the rotation of the circular cylinder. Solutions are given for Reynolds number in the range 1–1400 and for several values of the parameter B, defined as the ratio of the side of the square to the diameter of the circle.

Type
Research Article
Copyright
© 1979 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

Batchelor, G. K. 1956 J. Fluid Mech. 1, 177.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Burggraf, O. R. 1966 J. Fluid Mech. 24, 113.
Collins, W. M. & Dennis, S. C. R. 1975 Quart. J. Mech. Appl. Math. 28, 133.
Collins, W. M. & Dennis, S. C. R. 1976 J. Fluid Mech. 76, 417.
Greenspan, D. 1969 Comp. J. 12, 89.
Greenspan, D. 1973 J. Fluid Mech. 57, 167.
Kawaguti, M. 1961 J. Phys. Soc. Japan 16, 2307.
Meyer, K. A. 1969 Phys. Fluids Suppl. 12, II 165.
Moffatt, H. K. 1964 J. Fluid Mech. 18, 1.
Pan, F. & Acrivos, A. 1967 J. Fluid Mech. 28, 643.
Roache, P. J. 1976 Computational Fluid Dynamics. Hermosa Publishers.
Rogers, E. M. & Beard, D. W. 1969 J. Comp. Phys. 4, 1.