Torsional oscillations of a rod in a layered medium of simple fluids

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4 Citations (Scopus)

Abstract

Free surface flow of a layered medium of simple fluids driven by a torsionally oscillating, cylindrical rod is investigated. The stress, expressed as a series of multiple integrals of polynomials in the strain histories, is expanded into a Fréchet series in terms of the amplitude of the oscillation of the rod. A domain perturbation method is used to perturb the rest state. The mean shapes and deviations from flatness at the rod of the interfaces between layers are determined together with the flow field up to and including second order in the amplitude of the oscillation. © 1986.
Original languageEnglish
Pages (from-to)631-640
Number of pages10
JournalInternational Journal of Engineering Science
Volume24
Issue number4
DOIs
Publication statusPublished - 1986

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Flow fields
Polynomials
Fluids

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title = "Torsional oscillations of a rod in a layered medium of simple fluids",
abstract = "Free surface flow of a layered medium of simple fluids driven by a torsionally oscillating, cylindrical rod is investigated. The stress, expressed as a series of multiple integrals of polynomials in the strain histories, is expanded into a Fr{\'e}chet series in terms of the amplitude of the oscillation of the rod. A domain perturbation method is used to perturb the rest state. The mean shapes and deviations from flatness at the rod of the interfaces between layers are determined together with the flow field up to and including second order in the amplitude of the oscillation. {\circledC} 1986.",
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Torsional oscillations of a rod in a layered medium of simple fluids. / Siginer, A.

In: International Journal of Engineering Science, Vol. 24, No. 4, 1986, p. 631-640.

Research output: Contribution to journalArticle

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AU - Siginer, A.

N1 - Cited By :4 Export Date: 21 June 2018

PY - 1986

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N2 - Free surface flow of a layered medium of simple fluids driven by a torsionally oscillating, cylindrical rod is investigated. The stress, expressed as a series of multiple integrals of polynomials in the strain histories, is expanded into a Fréchet series in terms of the amplitude of the oscillation of the rod. A domain perturbation method is used to perturb the rest state. The mean shapes and deviations from flatness at the rod of the interfaces between layers are determined together with the flow field up to and including second order in the amplitude of the oscillation. © 1986.

AB - Free surface flow of a layered medium of simple fluids driven by a torsionally oscillating, cylindrical rod is investigated. The stress, expressed as a series of multiple integrals of polynomials in the strain histories, is expanded into a Fréchet series in terms of the amplitude of the oscillation of the rod. A domain perturbation method is used to perturb the rest state. The mean shapes and deviations from flatness at the rod of the interfaces between layers are determined together with the flow field up to and including second order in the amplitude of the oscillation. © 1986.

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DO - 10.1016/0020-7225(86)90051-0

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JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

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