Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-27T22:37:32.294Z Has data issue: false hasContentIssue false

Velocity gradients at the wall for flow around a cylinder at Reynolds numbers from 5 × 103 to 105

Published online by Cambridge University Press:  28 March 2006

Jaime S. Son
Affiliation:
Present address: Shell Development, Emeryville, California.
Thomas J. Hanratty
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois

Abstract

Electrochemical techniques have been used to measure the velocity gradients at the surface of a cylinder for Reynolds numbers from 5 × 103 to 105. This is a companion study to that already reported by Dimopoulos & Hanratty (1968) for a Reynolds number range of 60–360. The use of a specially designed sandwich electrode enabled the direction of the velocity gradient as well as its magnitude to be measured. Of particular interest is the region of definite length after separation where the velocity gradient is negative, followed by an ill-defined region where the flow moves in the positive direction. Still farther downstream the direction of flow changes with time in an irregular fashion. The measured velocity gradients prior to separation are described satisfactorily by boundary-layer theory. The presence of a splitter plate in the rear of the cylinder eliminates periodic fluctuations in the wake and has a significant effect on the boundary layer prior to separation.

Type
Research Article
Copyright
© 1969 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

Bellhouse, B. J. & Schultz, B. L. 1966 J. Fluid Mech. 24, 379.
Dimopoulos, H. D. & Hanratty, T. J. 1968 J. Fluid Mech. 33, 303.
Fage, A. 1936 A.B.C.R. & M. no. 1765.
Fage, A. & Falkner, V. M. 1931 A.B.C.R. & M. no. 1369.
Gerrard, J. H. 1966 J. Fluid Mech. 25, 401.
Goldstein, S., ed. 1938 Modern Developments in Fluid Mechanics, vol. II. Oxford University Press.
Hiemenz, K. 1911 Dingl. Polytechn. J. 326, 321.
Ludweig, H. 1949 N.A.C.A. Tech. Memo. no. 1284.
Mitchell, J. E. & Hanratty, T. J. 1966 J. Fluid Mech. 26, 199.
Reiss, L. P. 1960 M.S. thesis, University of Illinois, Urbana.
Roshko, A. 1953 N.A.C.A. Tech. Note. no. 2913.
Roshko, A. 1954 N.A.C.A. Tech. Note no. 3169.
Schlichting, H. 1960 Boundary Layer Theory, 4th ed. New York: McGraw-Hill.
Son, S. J. 1968 Ph.D. thesis, University of Illinois, Urbana.
Thoman, D. C. & Szewezyk, A. A. 1966 Heat Transfer and Fluid Mechanics Laboratory, University of Notre Dame. Tech. Rep. 66–14.