Isothermal tube flow of non-linear viscoelastic fluids. Part I: Constitutive instabilities and the longitudinal field

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Authors/Editors

Siginer, Dennis

Research Areas

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Publication Details

Author list: Siginer DA

Publisher: Elsevier

Place: OXFORD

Publication year: 2012

Journal: International Journal of Engineering Science (0020-7225)

Journal acronym: INT J ENG SCI

Volume number: 56

Start page: 111

End page: 126

Number of pages: 16

ISSN: 0020-7225

Languages: English-Great Britain (EN-GB)

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Abstract

Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive theological constitutive equations for viscoelastic fluids have been reviewed in their historical context. The stability of Maxwell-like differential and single integral type constitutive formulations in current use and their relationship to experimentally observed physical instabilities are reviewed in particular in the light of inherent Hadamard and dissipative type of instabilities they may be subject to as a consequence of defective constitutive formulations. The state of the art in predicting the longitudinal field, the pressure drop and the friction factors for the flow of generalized Newtonian and viscoelastic fluids in circular and non-circular straight tubes is reviewed. (C) 2011 Elsevier Ltd. All rights reserved.

Keywords

Circular and non-circular tubes, Constitutive instability, Non-linear, Viscoelastic fluid

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