Phase shift ellipses for pulsating flows

Alexander Yakhot, Leopold Grinberg

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


A pulsating laminar flow of a viscous, incompressible fluid through a pipe with an orifice has been studied at relatively low Reynolds numbers. The motion is caused by an imposed sinusoidally varying pressure difference, Δp(t). The induced flow rate, Q(t), has a phase shift, φQ, with respect to the imposed pressure oscillations. We have used that a phase (x,y)-plane instantaneous state plot of two phase-shifted trajectories: x(t =sin(ωt+φx) and y(t)=sin(ωl+φy , is an ellipse. The ellipses of the instantaneous states Q(t) vs Δp(t) during a cycle allow readily computing the phase shift, ΔQ.

Original languageEnglish
Pages (from-to)2081-2083
Number of pages3
JournalPhysics of Fluids
Issue number7
StatePublished - 1 Jan 2003

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


Dive into the research topics of 'Phase shift ellipses for pulsating flows'. Together they form a unique fingerprint.

Cite this