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On the motion of solids in a liquid possessing vorticity
Author(s) -
J. Proudman
Publication year - 1916
Publication title -
proceedings of the royal society of london series a containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1916.0026
Subject(s) - vorticity , motion (physics) , extension (predicate logic) , dynamics (music) , classical mechanics , equations of motion , lagrange multiplier , physics , mathematics , mathematical analysis , mechanics , vortex , computer science , mathematical optimization , programming language , acoustics
1. The following investigations were undertaken at the suggestion of Mr. G. I. Taylor as an extension of some of his own. The equation of motion of any system of solids in a liquid which moves without vorticity were obtained by Lord Kelvin by a method based on that of ignorable co-ordinary dynamics. They are of Lagrange's type, and were afterwards obtained by various writers by an adaptation to hydro-dynamics of Lagrange's original method.

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