Hostname: page-component-76fb5796d-2lccl Total loading time: 0 Render date: 2024-04-27T21:27:39.228Z Has data issue: false hasContentIssue false
  • English
  • Français

An experimental investigation of the steady separated flow past a circular cylinder

Published online by Cambridge University Press:  28 March 2006

A. S. Grove ,
F. H. Shair  and
E. E. Petersen
A. S. Grove
Affiliation:
Department of Chemical Engineering, University of California, Berkeley 4, California Present address: Fairchild Semiconductor Research Laboratories, Palo Alto, California.
F. H. Shair
Affiliation:
Department of Chemical Engineering, University of California, Berkeley 4, California Present address: General Electric Company Space Sciences Laboratory, King of Prussia, Pennsylvania.
E. E. Petersen
Affiliation:
Department of Chemical Engineering, University of California, Berkeley 4, California Present address: Stanford University, Stanford, California.
Get access Rights & Permissions [Opens in a new window]

Abstract

The steady separated flow past a circular cylinder was investigated experimentally. By artificially stabilizing the steady wake, this system was studied up to Reynolds numbers R considerably larger than any previously attained, thus providing a much clearer insight into the asymptotic character of such flows at high Reynolds numbers. Some of the experimental results were unexpected. It was found that the pressure coefficient at the rear of the cylinder remained unchanged for 25 [les ] R [les ] 177, that the circulation velocity within the wake approached a non-zero limit as the Reynolds number increased, and that the wake length increased in direct proportion to the Reynolds number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 1 , May 1964 , pp. 60 - 80
Copyright
© 1964 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

Apelt, C. J. 1961 The steady flow of a viscous fluid past a circular cylinder at Reynolds numbers 40 and 44. Aero. Res. Council, Lond. R & M no. 3175.
Batchelor, G. K. 1956 A proposal concerning laminar wakes behind bluff bodies at large Reynolds numbers. J. Fluid Mech. 1, 388.Google Scholar
Föppl, L. 1913 Wirbelbewegung hinter einem Kreiszylinder. Munich Akad. Wiss., Math.-Physik Classe, 1.Google Scholar
Gilbarg, D. & Serrin, J. 1950 Free boundaries and jets in the theory of cavitation. J. Math. Phys. 29, 1.Google Scholar
Goldstein, S. 1933 On the two-dimensional steady flow of a viscous fluid behind a solid body. Proc. Roy. Soc. A, 142, 545.Google Scholar
Goldstein, S. 1960 Lectures on Fluid Mechanics, Ch. 8. London: Interscience.
Grove, A. S. 1963 Ph.D. Thesis, University of California, Berkeley.
Homann, F. 1936a Einfluss grösser Zähigkeit bei strömung um Zylinder. Forsch. Ing Wes. 7, 1.Google Scholar
Homann, F. 1936b Der Einfluss grösser Zähigkeit bei der Strömung um den Zylinder und um die Kugel. Z. angew. Math. Mech. 6, 153. Translation: Nat. Adv. Comm. Aero., Wash., Tech. Mem., no. 1334 (1952).Google Scholar
Imai, I. 1953 Discontinuous potential flow as the limiting form of the viscous flow for vanishing viscosity. J. Phys. Soc. Japan, 8, 399.Google Scholar
Kawaguti, M. 1953a Discontinuous flow past a circular cylinder. J. Phys. Soc. Japan, 8, 403.Google Scholar
Kawaguti, M. 1953b Numerical solution of the Navier-Stokes equations for the flow around a circular cylinder at Reynolds number 40. J. Phys. Soc. Japan, 8, 747.Google Scholar
Landau, L. D. & Lifschitz, E. M. 1959 Fluid Mechanics, p. 18. London: Pergamon Press.
Milne-Thomson, L. M. 1960 Theoretical Hydrodynamics, p. 154. London: Macmillan & Co., Ltd.
Riabouchinsky, D. 1920 On the steady flow motions with free surfaces. Proc. Lond. Math. Soc. 19, 206.Google Scholar
Roshko, A. 1954 A new hodograph for free-streamline theory. Nat. Adv. Comm. Aero., Wash., Tech. Note, no. 3168.Google Scholar
Roshko, A. 1955 On the wake and drag of bluff bodies. J. Aero Sci. 22, 124.Google Scholar
Shah, M. J. 1961 Ph.D. Thesis, University of California, Berkeley.
Shah, M. J., Petersen, E. E. & Acrivos, A. 1962 Heat transfer from a cylinder to a power law non-Newtonian fluid. A.I.Ch.E. J. 8, 542.Google Scholar
Shair, F. H. 1963 Ph.D. Thesis, University of California, Berkeley.
Shair, F. H., Grove, A. S., Petersen, E. E. & Acrivos, A. 1963 The effect of confining walls on the stability of the steady wake behind a circular cylinder. J. Fluid Mech. 17, 546.Google Scholar
Squire, H. B. 1934 On the laminar flow of a viscous fluid with vanishing viscosity. Phil. Mag. 17, 1150.Google Scholar
Taneda, S. 1956 Experimental investigation of the wakes behind cylinders and plates at low Reynolds numbers. J. Phys. Soc. Japan, 11, 302.Google Scholar
Thom, A. 1933 The flow past circular cylinders at low speeds. Proc. Roy. Soc. A, 141, 651.Google Scholar
Tritton, D. J. 1959 Experiments on the flow past a circular cylinder at low Reynolds numbers. J. Fluid Mech. 6, 547.Google Scholar
Woods, L. C. 1955 Two dimensional flow of a compressible fluid past given curved obstacles with infinite wakes. Proc. Roy. Soc. A, 227, 367.Google Scholar
Wu, T. Y. 1956 A free streamline theory for two-dimensional fully cavitated hydrofoils. J. Math. Phys. 35, 236.Google Scholar
Wu, T. Y. 1962 A wake model for free-streamline flow theory. J. Fluid Mech. 13, 161.Google Scholar