Pulsating flow of viscoelastic fluids in straight tubes of arbitrary cross-section - Part I: longitudinal field
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Author list: Letelier MF, Siginer DA, Caceres C
Publisher: Elsevier
Place: OXFORD
Publication year: 2002
Journal: International Journal of Non-Linear Mechanics (0020-7462)
Journal acronym: INT J NONLINEAR MECH
Volume number: 37
Issue number: 2
Start page: 369
End page: 393
Number of pages: 25
ISSN: 0020-7462
Languages: English-Great Britain (EN-GB)
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Abstract
The pulsating flow of a Green-Rivlin fluid in straight tubes of arbitrary cross-section is investigated. We work with the linearly viscoelastic fluid at the first order of the perturbation of the non-linear constitutive structure defined by a series of nested integrals over semi-infinite time domains. The boundary for the base flow, linearly viscoelastic flow in a circular tube in this case, is perturbed through the application of a novel approach to the concept of domain perturbation to yield a continuous spectrum of closed cross-sectional shapes. The longitudinal component of the flow field is investigated in detail for representative cross-sectional shapes in the spectrum including the square, the triangle and the hexagone, and the velocity profiles are presented for a specific fluid. (C) 2001 Elsevier Science Ltd. All rights reserved.
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