Pulsating flow of viscoelastic fluids in straight tubes of arbitrary cross-section - Part I

Longitudinal field

Mario F. Letelier, Dennis A. Siginer, Cristian Cáceres

Research output: Contribution to journalArticle

20 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)369-393
Number of pages25
JournalInternational Journal of Non-Linear Mechanics
Volume37
Issue number2
DOIs
Publication statusPublished - Mar 1 2002

Fingerprint

Viscoelastic Fluid
unsteady flow
Straight
Flow of fluids
Tube
Cross section
Linearly
Domain Perturbation
tubes
Fluid
Viscoelastic Flow
Infinite Domain
Fluids
Continuous Spectrum
fluids
cross sections
Arbitrary
Velocity Profile
Flow Field
base flow

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

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Pulsating flow of viscoelastic fluids in straight tubes of arbitrary cross-section - Part I : Longitudinal field. / Letelier, Mario F.; Siginer, Dennis A.; Cáceres, Cristian.

In: International Journal of Non-Linear Mechanics, Vol. 37, No. 2, 01.03.2002, p. 369-393.

Research output: Contribution to journalArticle

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