Numerical investigation of a laminar pulsating flow in a rectangular duct

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Abstract

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.

Original languageEnglish
Pages (from-to)935-950
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Volume29
Issue number8
DOIs
StatePublished - 30 Apr 1999

Keywords

  • High-order-accurate discretization
  • Pulsating flow

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