Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T04:29:32.359Z Has data issue: false hasContentIssue false

Velocity gradients at the wall for flow around a cylinder for Reynolds numbers between 60 and 360

Published online by Cambridge University Press:  28 March 2006

Harry G. Dimopoulos
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois Present address: Shell Pipeline Corporation, Houston, Texas.
Thomas J. Hanratty
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois

Abstract

This paper shows how electrochemical techniques can be used in studies of flow around solid objects to measure the velocity gradient at the solid boundary. The method holds the advantages that it is not necessary to calibrate and that the test element is easy to fabricate. A study of the distribution of the wall velocity gradient around a cylinder of 1 in. diameter indicates that boundary-layer theory correctly predicts the measurements between the front stagnation point and the separation for Reynolds number, R, greater than 150. The wall velocity gradients in the wake are much smaller than in the front part of the cylinder and they reveal a minimum which is quite close to the separation point.

Type
Research Article
Copyright
© 1968 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

Acrivos, A. 1960 Phys. Fluids, 3, 657.
Acrivos, A. 1966 Chem. Eng. Sci. 21, 343.
Acrivos, A., Snowden, D. D., Grove, A. S. & Petersen, E. E. 1965 J. Fluid Mech. 21, 737.
Bellhouse, B. J. & Schultz, D. L. 1966 J. Fluid Mech. 24, 379.
Dimopoulos, H. G. 1968 Ph.D. Thesis, University of Illinois, Urbana.
Goldstein, S. 1938 Modern developments in Fluid Dynamics. Oxford University Press.
Grafton, R. W. 1963 Chem. Eng. Sci. 18, 457.
Grove, A. S., Shair, F. H., Petersen, E. E. & Acrivos, A. 1964 J. Fluid Mech. 19, 60.
Kawaguti, M. & Jain, P. 1966 J. Phys. Soc. Japan, 21, 2055.
Ling, S. C. 1962 J. Heat Transfer, C85, 230.
Mitchell, J. E. & Hanratty, T. J. 1966 J. Fluid Mech. 26, 199.
Reiss, L. P. & Hanratty, T. J. 1962 A.I.Ch.E. J. 8, 245.
Reiss, L. P. & Hanratty, T. J. 1963 A.I.Ch.E. J. 9, 154.
Rosenhead, L. 1963 Laminar Boundary Layers. Oxford University Press.
Schlichting, H. 1960 Boundary Layer Theory. 4th edn. New York: McGraw Hill.
Son, J. S. 1968 Ph.D. Thesis in Chemical Engineering, University of Illinois, Urbana.
Thom, A. 1933 Proc. Roy. Soc. A, 141, 651.
VAN DYKE, M. 1964 J. Fluid Mech. 19, 145.