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Analysis of pipe flow of a Giesekus fluid including the effect of Newtonian solvent viscosity.

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Title: Analysis of pipe flow of a Giesekus fluid including the effect of Newtonian solvent viscosity.
Authors: Daprà, Irene1 (AUTHOR) irene.dapra@unibo.it, Libero, Giulia1 (AUTHOR), Scarpi, Giambattista1 (AUTHOR)
Source: Journal of Engineering Mathematics. 2/26/2026, Vol. 157 Issue 1, p1-23. 23p.
Subjects: Pipe flow, Dynamic viscosity, Drag (Hydrodynamics), Parameterization, Dimensionless numbers, Viscoelastic materials, Polynomial chaos
Abstract: A semi-analytical solution is proposed for laminar pipe flow of a viscoelastic fluid, in which the polymer contribution is described by the Giesekus model and the solvent behaves as a Newtonian fluid. The velocity profiles, stress tensor components, and mean velocity are derived as functions of three key parameters: the Deborah number, the mobility factor, and the ratio of solvent viscosity to total viscosity. The analysis reveals that, when the mobility factor exceeds 0.5 and the solvent viscosity is negligible or very low, a maximum Deborah number exists beyond which no valid solution can be found. The results of our analysis suggest that considering the viscosity of the solvent in addition to that of the polymer leads to an effect analogous to an increase in flow resistance. Furthermore, a global sensitivity analysis, facilitated by an efficient model reduction technique based on Polynomial Chaos Expansion, is performed to assess the influence of the three parameters on velocity and stress characteristics. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Engineering Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 191887224
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Analysis of pipe flow of a Giesekus fluid including the effect of Newtonian solvent viscosity.
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  Data: <searchLink fieldCode="AR" term="%22Daprà%2C+Irene%22">Daprà, Irene</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> irene.dapra@unibo.it</i><br /><searchLink fieldCode="AR" term="%22Libero%2C+Giulia%22">Libero, Giulia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Scarpi%2C+Giambattista%22">Scarpi, Giambattista</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Engineering+Mathematics%22">Journal of Engineering Mathematics</searchLink>. 2/26/2026, Vol. 157 Issue 1, p1-23. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Pipe+flow%22">Pipe flow</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+viscosity%22">Dynamic viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Drag+%28Hydrodynamics%29%22">Drag (Hydrodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Parameterization%22">Parameterization</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomial+chaos%22">Polynomial chaos</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A semi-analytical solution is proposed for laminar pipe flow of a viscoelastic fluid, in which the polymer contribution is described by the Giesekus model and the solvent behaves as a Newtonian fluid. The velocity profiles, stress tensor components, and mean velocity are derived as functions of three key parameters: the Deborah number, the mobility factor, and the ratio of solvent viscosity to total viscosity. The analysis reveals that, when the mobility factor exceeds 0.5 and the solvent viscosity is negligible or very low, a maximum Deborah number exists beyond which no valid solution can be found. The results of our analysis suggest that considering the viscosity of the solvent in addition to that of the polymer leads to an effect analogous to an increase in flow resistance. Furthermore, a global sensitivity analysis, facilitated by an efficient model reduction technique based on Polynomial Chaos Expansion, is performed to assess the influence of the three parameters on velocity and stress characteristics. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Engineering Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s10665-025-10508-w
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      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: 1
    Subjects:
      – SubjectFull: Pipe flow
        Type: general
      – SubjectFull: Dynamic viscosity
        Type: general
      – SubjectFull: Drag (Hydrodynamics)
        Type: general
      – SubjectFull: Parameterization
        Type: general
      – SubjectFull: Dimensionless numbers
        Type: general
      – SubjectFull: Viscoelastic materials
        Type: general
      – SubjectFull: Polynomial chaos
        Type: general
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      – TitleFull: Analysis of pipe flow of a Giesekus fluid including the effect of Newtonian solvent viscosity.
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            NameFull: Daprà, Irene
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            NameFull: Libero, Giulia
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            NameFull: Scarpi, Giambattista
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            – D: 26
              M: 02
              Text: 2/26/2026
              Type: published
              Y: 2026
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