Abstract
Tube flow of a viscoelastic liquid of the multiple integral type driven by periodic forcing is investigated. It is shown that mean longitudinal and secondary flows exist, independently of the explicit form of the constitutive functions, due to frequency cancellation when the forcing oscillates around a zero mean. Closed form expressions are given for these non-trivial flows at the lowest order of the algorithm where nonlinear effects appear.
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Siginer A (1991) On Some Nearly Viscometric Flows of Viscoelastic Liquids. Rheol Acta 30:447–473
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Siginer, A. Anomalous steady flows in a tube. Rheola Acta 30, 474–479 (1991). https://doi.org/10.1007/BF00396531
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DOI: https://doi.org/10.1007/BF00396531