Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-13T03:04:12.844Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical solution for the flow around a cylinder at Reynolds numbers of 40, 200 and 500

Published online by Cambridge University Press:  28 March 2006

Jaime S. Son  and
Thomas J. Hanratty
Jaime S. Son
Affiliation:
Present address: Shell Development Company, Emeryville, California.
Thomas J. Hanratty
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois
Get access Rights & Permissions [Opens in a new window]

Abstract

Finite difference solutions for the time dependent equations of motion have been carried out in order to extend the range of available data on steady flow around a cylinder to larger Reynolds numbers. At the termination of the calculations for R = 40 and 200, the separation angle, the drag coefficient and the pressure and vorticity distributions around the surface of the cylinder were very close to their steady-state values. For R = 500 the separation angle and drag coefficient were very close to their steady-state values but the pressure distribution and vorticity distribution at the rear of the cylinder were still changing slightly. The results at R = 500 were found to be quite different from those at R = 200 so it is not clear how closely we approximated the steady solution for R → ∞. The forces on the cylinder due to viscous drag and due to pressure drag are found to be smaller for steady flow than for laboratory experiments where the wake is unsteady.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 2 , 16 January 1969 , pp. 369 - 386
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

Acrivos, A., Snowden, D. D., Grove, A. S. & Peterson, E. E. 1965 J. Fluid Mech. 21, 737.
Allen, D. N. De G. & Southwell, R. V. 1955 Quart. J. Mech. Appl. Math. 8, 129.
Apelt, C. J. 1961 ARC R & M no. 3175.
Batchelor, G. K. 1956 J. Fluid Mech. 1, 388.
Dennis, S. C. R. & Shimshoni, M. 1965 ARC Current Paper no. 797.
Dimopoulos, H. G. & Hanratty, T. J. 1968 J. Fluid Mech. 33, 303.
Fox, L., ed. 1962 Numerical Solutions of Ordinary and Partial Differential Equations. Massachusetts: Addison-Wesley.
Kawaguti, M. 1953a J. Phys. Soc. Japan, 8, 403.
Kawaguti, M. 1953b J. Phys. Soc. Japan, 8, 747.
Kawaguti, M. & Jain, P. 1966 J. Phys. Soc. Japan, 21, 2055.
Lapidus, L. 1962 Digital Computation for Chemical Engineers. New York: McGraw-Hill.
Payne, R. B. 1958 J. Fluid Mech. 4, 81.
Peaceman, D. W. & Rachford, H. H. 1955 J. Soc. Indust. Appl. Math. 3, 28.
Pearson, C. 1965 J. Fluid Mech. 21, 611.
Russel, D. B. 1962 ARC R & M no. 3331.
Schwabe, M. 1935 Ing.-Arch. 6, 1; Engl. translation in NACA Tech. Memo no. 1039.
Squire, H. B. 1934 Phil. Mag. 17, 1150.
Taneda, S. 1956 J. Phys. Soc. Japan, 11, 302.
Thom, A. 1928 ARC R & M no. 1194.
Thom, A. 1933 Proc. Roy. Soc. A, 141, 651.
Thoman, D. C. & Szewczyk, A. A. 1966 Heat Transfer and Fluid Mech. Lab., Department of Mechanical Engineering, University of Notre Dame. Tech. Rep. 66–14.
Wilkes, J. O. & Churchill, S. W. 1966 A.I.Ch.E. J. 12, 161.