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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Last updated on 2023-31-07 at 00:43