Abstract
The image system for a velocity field of the Oseen tensor in a fluid region bounded by a rigid spherical container is derived. The Green’s function and image system due to a nearby boundary constitute two themes explored in the pioneering (1896) paper by Lorentz. The special structure of our image system facilitates its incorporation as kernels for integral representations of velocity fields (another theme in the Lorentz paper) for a domain bounded by a spherical wall. The reflection formula for a plane wall is derived as a limiting case of the new solution.
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© 1996 Springer Science+Business Media Dordrecht
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Maul, C., Kim, S. (1996). Image of a point force in a spherical container and its connection to the Lorentz reflection formula. 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_7
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DOI: https://doi.org/10.1007/978-94-009-0225-1_7
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