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Low-Reynolds-number flow past a cylindrical body

Published online by Cambridge University Press:  20 April 2006

Ko Tamada ,
Hiroyuki Miura  and
Tosio Miyagi
Ko Tamada
Affiliation:
Department of Mechanical Engineering, Osaka Industrial University, Daito, Japan
Hiroyuki Miura
Affiliation:
Department of Mathematical Sciences, University of Osaka Prefecture, Sakai, Japan
Tosio Miyagi
Affiliation:
Department of Aeronautical Engineering, University of Osaka Prefecture, Sakai, Japan
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Abstract

Two-dimensional flow past a cylindrical body of arbitrary profile at small Reynolds numbers is studied theoretically. The asymptotic flow field at large distances from an immersed body is shown to depend only upon the force acting on the cylinder. This universal field is determined by solving the Navier–Stokes equation numerically. The result enables us to evaluate the force acting on the body as a function of the flow Reynolds number. A detailed calculation is made of the drag coefficients of a circular cylinder and a flat plate. Results compare favourably with existing experimental and numerical data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 445 - 455
Copyright
© 1983 Cambridge University Press

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References

Bairstow, L., Cave, B. M. & Lang, E. D. 1923 Phil. Trans. R. Soc. Lond. A223, 383.
Coudeville, H., Trepaud, P. & Brun, E. A. 1965 In Rarefied Gas Dynamics, vol. 1 (ed. J. H. de Leeuw), p. 444.
Dennis, S. C. R. & Dunwoody, J. 1966 J. Fluid Mech. 24, 577.
Harrison, W. J. 1923 Trans. Camb. Phil. Soc. 23, 71.
Hasimoto, H. 1953 J. Phys. Soc. Japan 8, 653.
Huner, B. & Hussey, R. G. 1977 Phys. Fluids 20, 1211.
Imai, I. 1951 Proc. R. Soc. Lond. A208, 487.
Imai, I. 1954 Proc. R. Soc. Lond. A224, 141.
Jayaweera, K. O. L. F. & Mason, B. J. 1965 J. Fluid Mech. 22, 709.
Kaplun, S. 1957 J. Maths Mech. 6, 595.
Lamb, H. 1911 Phil. Mag. 21, 112.
Miura, H. 1971 Bull. Univ. Osaka Prefecture A20, 215.
Oseen, C. W. 1910 Ark. Mat. Astr. Fys. 6, no. 29.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.
Roache, P. J. 1976 Computational Fluid Dynamics. Hermosa.
Schaaf, S. A. & Sherman, F. S. 1954 J. Aero. Sci. 21, 85.
Schlamp, R. J., Pruppacher, H. R. & Hamielec, A. E. 1975 J. Atmos. Sci. 32, 2330.
Takami, H. & Keller, H. B. 1969 Phys. Fluids Suppl. 12, II-51.
Tamada, K. 1957 In Proc. 9th Intl. Congr. Appl. Mech. vol. 3, p. 343.