Oscillating flow of a simple fluid in a pipe

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Abstract

Poiseuille flow of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is investigated. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flow rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asymptotic analyses of the flow rate enhancement at small and large frequencies are presented. © 1991.
Original languageEnglish
Pages (from-to)1557-1567
Number of pages11
JournalInternational Journal of Engineering Science
Volume29
Issue number12
DOIs
Publication statusPublished - 1991

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Oscillating flow
Pressure gradient
Pipe
Flow rate
Fluids
Liquids

Cite this

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title = "Oscillating flow of a simple fluid in a pipe",
abstract = "Poiseuille flow of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is investigated. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flow rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asymptotic analyses of the flow rate enhancement at small and large frequencies are presented. {\circledC} 1991.",
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Oscillating flow of a simple fluid in a pipe. / Siginer, A.

In: International Journal of Engineering Science, Vol. 29, No. 12, 1991, p. 1557-1567.

Research output: Contribution to journalArticle

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PY - 1991

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N2 - Poiseuille flow of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is investigated. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flow rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asymptotic analyses of the flow rate enhancement at small and large frequencies are presented. © 1991.

AB - Poiseuille flow of an elastico-viscous liquid in a straight, circular pipe driven by a pressure gradient oscillating about a non-zero mean is investigated. The simple fluid of the multiple integral type presents a flow enhancement which depends on the frequency and amplitude of the oscillation, magnitude of the mean pressure gradient and the material functions of the fluid. A closed form expression for the flow rate alteration, independent of any explicit representations for the material functions, is developed at the lowest order in the perturbation algorithm where nonlinear effects appear. Asymptotic analyses of the flow rate enhancement at small and large frequencies are presented. © 1991.

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JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

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