A note on the Stokes paradox

Smith, S. H.

doi:10.1090/qam/910459

Author: S. H. Smith
Journal: Quart. Appl. Math. 45 (1987), 529-531
MSC: Primary 76D07
DOI: https://doi.org/10.1090/qam/910459
MathSciNet review: 910459
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Abstract: A particular solution of the Stokes’ flow equations is presented which shows a nonuniformity of limits between the near and far flow fields which relates to the Stokes’ paradox.

J. M. Dorrepaal, M. E. O’Neill, and K. B. Ranger, Two-dimensional Stokes flows with cylinders and line singularities, Mathematika 31 (1984), no. 1, 65–75. MR 762178, DOI https://doi.org/10.1112/S0025579300010664

G. B. Jeffery, The rotation of two circular cylinders in a viscous fluid, Proc. Roy. Soc. A. 101, 169–176 (1922)

Saul Kaplun and P. A. Lagerstrom, Asymptotic expansions of Navier-Stokes solutions for small Reynolds numbers, J. Math. Mech. 6 (1957), 585–593. MR 0091693, DOI https://doi.org/10.1512/iumj.1957.6.56028

C. W. Oseen, Ueber die Stokes’sche Formel, und über eine verwandte Aufgabe in der Hydrodynamik, Ark. Math. Astronom. Fys 6, No. 29 (1910)

Ian Proudman and J. R. A. Pearson, Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder, J. Fluid Mech. 2 (1957), 237–262. MR 86545, DOI https://doi.org/10.1017/S0022112057000105