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Extension of Goldstein's series for the Oseen drag of a sphere

Published online by Cambridge University Press:  29 March 2006

Milton Van Dyke
Milton Van Dyke
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, California
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Abstract

Goldstein's expansion of the Oseen drag of a sphere in powers of Reynolds number is extended to 24 terms by computer. The convergence is found to be limited by a simple pole at R = − 4·18172. The series is recast using an Euler transformation and other devices to yield accurate results for large R.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 44 , Issue 2 , 11 November 1970 , pp. 365 - 372
Copyright
© 1970 Cambridge University Press

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References

Baker, G. A. 1965 Advances in Theoretical Physics. (ed. K. A. Brueckner) 1, 1–58. New York: Academic.
Bourot, J.-M. 1969 Comptes Rendus Acad. Sci. A 269, 1017–1020.
Chester, W. & Breach, D. R. 1969 J. Fluid Mech. 37, 751–760.
Deprit, A. & Rom, A. 1967 Astron. J. 73, 210–213.
Domb, C. & Sykes, M. F. 1957 Proc. Roy. Soc. A 240, 214–228.
Goldstein, S. 1929 Proc. Roy. Soc. A 123, 225–235.
Goldstein, S. 1938 Modern Developments in Fluid Dynamics, vol. 2, 492. Oxford University Press.
Maxworthy, T. 1965 J. Fluid Mech. 23, 369–372.
Montroll, E. W. 1969 Contemporary Physics, Trieste Symposium 1968, 1, 273–294.Internat. Atomic Energy Agency, Vienna.
Proudman, I. 1969 J. Fluid Mech. 37, 759–760.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237–262.
Roberts, P. H. 1967 Proc. Roy. Soc. A 300, 94–107.
Shanks, D. 1955 J. Math. Phys. 34, 1–42.
Stewartson, K. 1956 Phil. Mag. (8) 1, 345–354.
Van Dyke, M. 1964a Perturbation Methods in Fluid Mechanics. New York: Academic.
Van Dyke, M. 1964b J. Fluid Mech. 19, 145–159.
Wynn, P. 1956 Math. Tables Aids Comp. 10, 91–96.