Isothermal tube flow of non-linear viscoelastic fluids. Part I

Constitutive instabilities and the longitudinal field

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1 Citation (Scopus)

Abstract

Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological 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.

Original languageEnglish
Pages (from-to)111-126
Number of pages16
JournalInternational Journal of Engineering Science
Volume56
DOIs
Publication statusPublished - Jul 1 2012

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Pipe flow
Fluids
Thermodynamics
Constitutive equations
Pressure drop
Friction

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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abstract = "Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological 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.",
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N2 - Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological 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.

AB - Theories and attendant methodologies developed independently of thermodynamic considerations and set within a thermodynamic framework to derive rheological 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.

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