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Impulsive displacement of liquid in a pipe
Author(s) -
Kleinstein Gerald G.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701093
Subject(s) - inviscid flow , displacement (psychology) , rest (music) , mechanics , pressure gradient , motion (physics) , function (biology) , viscous liquid , physics , thermodynamics , classical mechanics , psychology , evolutionary biology , acoustics , psychotherapist , biology
The solution of a viscous liquid, originally at rest in a pipe, which is set impulsively into motion by a pressure gradient is well known. Analyzing this solution shows that the displacement time – the time it takes to completely displace the liquid originally at rest in the pipe – falls primarily within an inviscid window. Assuming this result remains essentially unchanged when the displaced and displacing liquids are different we apply an inviscid analysis to determine the displacement time as a function of the density ratio of the liquids and the pressure difference. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)