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

Journal article

Authors/Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Letelier MF, Siginer DA

Publisher: Elsevier

Place: OXFORD

Publication year: 2005

Journal: International Journal of Non-Linear Mechanics (0020-7462)

Journal acronym: INT J NONLIN MECH

Volume number: 40

Issue number: 4

Start page: 485

End page: 493

Number of pages: 9

ISSN: 0020-7462

Languages: English-Great Britain (EN-GB)

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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. (C) 2004 Elsevier Ltd. All rights reserved.

Keywords

CONSTITUTIVE EQUATIONS, Friction factor, instabilities, Tube flow, viscoelastic fluids

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