On the effect of boundary vibration on poiseuille flow of an elastico-viscous liquid

Journal article

Authors / Editors

Siginer, Dennis

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: On the effect of boundary vibration on poiseuille flow of an elastico-viscous liquid

Publisher: Elsevier

Publication year: 1992

Journal: Journal of Fluids and Structures (0889-9746)

Volume number: 6

Issue number: 6

Start page: 719

End page: 748

Number of pages: 30

ISSN: 0889-9746

URL: https://www.sciencedirect.com

Languages: English-United States (EN-US)

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Abstract

The longitudinal and orthogonal superposition of boundary driven, small strain, oscillatory shear flow and steady Poiseuille flow is investigated. Boundary oscillations are of different frequencies and amplitudes and are represented by sinusoidal waveforms. A regular perturbation in terms of the amplitude of the oscillations is used. The flow field is determined up to and including third order for a simple fluid of multiple integral type with fading memory. Flow enhancement effects dependent on material parameters, mean pressure gradient, and amplitude and frequency of the boundary waves are predicted and closed form formulas derived for the mass transport rate. Enhancement is determined both by the elastic and shear thinning or thickening properties of the liquid. Resonance effects are shown to take place and, in particular, mean secondary and longitudinal flows, independent of the mean pressure gradient, are shown to exist for certain frequency relationships.

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