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Abstract

Infinite periodic arrays of stokeslets in three dimensions are summed up by obtaining various rapidly converging infinite series. The three cases treated here are: 1. Identical stokeslets distributed at constant intervals on a line parallel to a plate, 2. An array of identical stokeslets distributed on a two-dimensional periodic lattice on a plane parallel to a plate, 3. The same array, but parallel to and in between two plates. Computational results are shown and comparisons with previously averaged expressions are made.

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© 1996 Springer Science+Business Media Dordrecht

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Liron, N. (1996). Stokes flow due to infinite arrays of stokeslets in three dimensions. In: Kuiken, H.K. (eds) The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0225-1_16

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  • DOI: https://doi.org/10.1007/978-94-009-0225-1_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6584-9

  • Online ISBN: 978-94-009-0225-1

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