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

A. Siginer

doi:10.1016/0020-7225(86)90051-0

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

A. Siginer

Mechanical, Energy & Industrial Engineering

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

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 language	English
Pages (from-to)	631-640
Number of pages	10
Journal	International Journal of Engineering Science
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/0020-7225(86)90051-0
Publication status	Published - 1986

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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. {\textcopyright} 1986.",

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note = "Cited By :4 Export Date: 21 June 2018",

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AU - Siginer, A.

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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.

U2 - 10.1016/0020-7225(86)90051-0

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

M3 - Article

SN - 0020-7225

VL - 24

SP - 631

EP - 640

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 4

ER -

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

Abstract

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