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Numerical investigation of a laminar pulsating flow in a rectangular duct
Author(s) -
Yakhot A.,
Arad M.,
BenDor G.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990430)29:8<935::aid-fld823>3.0.co;2-c
Subject(s) - laminar flow , mechanics , duct (anatomy) , pressure gradient , reynolds number , amplitude , compressibility , reduced frequency , phase lag , physics , pipe flow , adverse pressure gradient , pressure drop , mathematics , optics , turbulence , mathematical analysis , medicine , pathology
A pulsating laminar flow of a viscous, incompressible liquid in a rectangular duct has been studied. The motion is induced under an imposed pulsating pressure difference. The problem is solved numerically. Different flow regimes are characterized by a non‐dimensional parameter based on the frequency (ω) of the imposed pressure gradient oscillations and the width of the duct ( h ). This, in fact, is the Reynolds number of the problem at hand. The induced velocity has a phase lag (shift) with respect to the imposed pressure oscillations, which varies from zero at very slow oscillations, to 90° at fast oscillations. The influence of the aspect ratio of the rectangular duct and the pulsating pressure gradient frequency on the phase lag, the amplitude of the induced oscillating velocity, and the wall shear were analyzed. Copyright © 1999 John Wiley & Sons, Ltd.