On the fully developed tube flow of a class of non-linear viscoelastic fluids

Mario F. Letelier, Dennis A. Siginer

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The fully developed pipe flow of a class of non-linear viscoelastic fluids is investigated. Analytical expressions are derived for the stress components, the friction factor and the velocity field. The friction factor which depends on the Deborah and Reynolds numbers is substantially smaller than the corresponding value for the Newtonian flow field with implications concerning the volume flow rate. We show that non-affine models in the class of constitutive equations considered such as Johnson-Segalman and some versions of the Phan-Thien-Tanner models are not representative of physically realistic flow fields for all Deborah numbers. For a fixed value of the slippage factor they predict physically admissible flow fields only for a limited range of Deborah numbers smaller than a critical Deborah number. The latter is a function of the slippage.

Original languageEnglish
Pages (from-to)485-493
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Volume40
Issue number4
DOIs
Publication statusPublished - May 1 2005

Fingerprint

Viscoelastic Fluid
Pipe flow
Flow Field
Flow fields
Tube
flow distribution
friction factor
tubes
Fluids
fluids
Friction
Newtonian flow
Pipe Flow
pipe flow
constitutive equations
Constitutive Equation
Constitutive equations
Flow Rate
Velocity Field
Reynolds number

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

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On the fully developed tube flow of a class of non-linear viscoelastic fluids. / Letelier, Mario F.; Siginer, Dennis A.

In: International Journal of Non-Linear Mechanics, Vol. 40, No. 4, 01.05.2005, p. 485-493.

Research output: Contribution to journalArticle

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