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Note on the numerical solution for unsteady viscous flow past a circular cylinder

Published online by Cambridge University Press:  28 March 2006

D. B. Ingham
D. B. Ingham
Affiliation:
Massachusetts Institute of Technology
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Abstract

The starting flow of a viscous fluid past a circular cylinder at Reynolds numbers 40 and 100 has been obtained by a numerical method. The method used is that developed by Payne (1957) but it has been extended here to cover a larger time interval.

At Reynolds number 40 Payne's result for the drag coefficient at time t = 6 is in reasonable agreement with Kawaguti's (1953) result for the steady case but if Payne's computation, is extended to time t ≈ 24, the result is in better agreement with Apelt's (1961) result for the steady case. Also, a further investigation into the case R = 100 shows that Payne's mesh size is too crude. Similar observations can be made concerning the size of the standing vortices downstream of the circular cylinder and how they grow in time.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 31 , Issue 4 , 18 March 1968 , pp. 815 - 818
Copyright
© 1968 Cambridge University Press

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References

Apelt, C. J. 1961 Aero. Res. Counc. (Lond.), Rept. & Mem. no. 3175.
Goldstein, S. & Rosenhead, L. 1936 Proc. Camb. Phil. Soc. 32, 392.
Kawaguti, M. 1953 J. Phys. Soc. Japan, 8, 747.
Payne, R. B. 1957 J. Fluid Mech. 4, 81.
Thom, A. 1933 Proc. Roy. Soc. A, 141, 651.