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The criterion for turbulence in curved pipes
Author(s) -
Geoffrey Ingram Taylor
Publication year - 1929
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.1929.0111
Subject(s) - turbulence , reynolds number , mechanics , bent molecular geometry , helix (gastropod) , reynolds stress , pipe flow , physics , flow (mathematics) , cross section (physics) , geometry , classical mechanics , materials science , mathematics , geology , composite material , paleontology , quantum mechanics , snail
Summary .—Experiments are described in which coloured fluid is introduced through a small hole in the side of a glass helix through which water is running. The conclusion reached by Mr. C. M. White, as a result of resistance measurements, that a higher speed of flow is necessary to maintain turbulence in a curved pipe than in a straight one, is verified directly. In a pipe bent into a helix the diameter of which was 18 times that of the cross-section, steady stream-line motion persisted up to a Reynolds number, 5830,i. e ., 2·8 times Reynolds' criterion for a straight pipe. This occurred in spite of the fact that the flow was highly turbulent on entering the helix.

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