View in EDS

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

Saved in:
Bibliographic Details
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
Description
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]
ISSN:00220833
DOI:10.1007/s10665-025-10508-w