Phase shift ellipses for pulsating flows

Alexander Yakhot; Leopold Grinberg

doi:10.1063/1.1580123

Phase shift ellipses for pulsating flows

Alexander Yakhot, Leopold Grinberg

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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, φ_Q, 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+φ_x) and y(t)=sin(ωl+φ_y , is an ellipse. The ellipses of the instantaneous states Q(t) vs Δp(t) during a cycle allow readily computing the phase shift, Δ_Q.

Original language	English
Pages (from-to)	2081-2083
Number of pages	3
Journal	Physics of Fluids
Volume	15
Issue number	7
DOIs	https://doi.org/10.1063/1.1580123
State	Published - 1 Jan 2003

ASJC Scopus subject areas

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

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10.1063/1.1580123

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title = "Phase shift ellipses for pulsating flows",

abstract = "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.",

author = "Alexander Yakhot and Leopold Grinberg",

year = "2003",

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doi = "10.1063/1.1580123",

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AU - Yakhot, Alexander

AU - Grinberg, Leopold

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0042326204

U2 - 10.1063/1.1580123

DO - 10.1063/1.1580123

M3 - Article

AN - SCOPUS:0042326204

SN - 1070-6631

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SP - 2081

EP - 2083

JO - Physics of Fluids

JF - Physics of Fluids

IS - 7

ER -

Phase shift ellipses for pulsating flows

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