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Comparison of viscoelastic flows in two- and three-dimensional serpentine channels

Garg, Himani LU orcid and Fureby, Christer LU (2024) In Physical Review E: covering statistical, nonlinear, biological, and soft matter physics 109.
Abstract
Polymer solutions in the dilute regime play a significant role in industrial applications. Due to the intricate rheological properties of these highly viscoelastic fluids, especially in complex flow geometries, a thorough numerical analysis of their flow dynamics is imperative. In this research, we present a numerical investigation of purely elastic instability occurring in two- and three-dimensional serpentine channels under conditions where fluid inertia is negligible and across a broad spectrum of polymer relaxation times. Our findings reveal a strong qualitative agreement between the existing experimental results obtained from dilute solutions of flexible polymers in microfluidic devices and the numerical simulations conducted in two... (More)
Polymer solutions in the dilute regime play a significant role in industrial applications. Due to the intricate rheological properties of these highly viscoelastic fluids, especially in complex flow geometries, a thorough numerical analysis of their flow dynamics is imperative. In this research, we present a numerical investigation of purely elastic instability occurring in two- and three-dimensional serpentine channels under conditions where fluid inertia is negligible and across a broad spectrum of polymer relaxation times. Our findings reveal a strong qualitative agreement between the existing experimental results obtained from dilute solutions of flexible polymers in microfluidic devices and the numerical simulations conducted in two and three dimensions using the Oldroyd-B model. Spatial flow observations and statistical analysis of temporal flow features indicate that this purely elastic turbulent flow exhibits nonhomogeneous, non-Gaussian, and anisotropic characteristics across all scales. Additionally, our comparison of two- and three-dimensional simulations demonstrates that the elastic instability is primarily driven by the curvature of the streamlines induced by the flow geometry, rather than the weak secondary flow in the azimuthal direction. Therefore, our two-dimensional numerical simulations successfully replicate, at least qualitatively, the features observed in three-dimensional experiments. Furthermore, spectral analysis suggests that, in comparison to elastic turbulence in the dilute regime, the range of scales for the excited fluctuations is narrower. (Less)
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type
Contribution to journal
publication status
published
subject
keywords
Elastic Turbulence, microfluidic channel, Viscoelastic fluid, OpenFOAM, Numerical simulations
in
Physical Review E: covering statistical, nonlinear, biological, and soft matter physics
volume
109
article number
055108
pages
14 pages
publisher
American Physical Society
ISSN
2470-0045
DOI
10.1103/PhysRevE.109.055108
language
English
LU publication?
yes
id
757ffc2c-de31-4614-aa3e-040272f223b6
date added to LUP
2024-06-09 08:09:05
date last changed
2024-06-11 09:22:13
@article{757ffc2c-de31-4614-aa3e-040272f223b6,
  abstract     = {{Polymer solutions in the dilute regime play a significant role in industrial applications. Due to the intricate rheological properties of these highly viscoelastic fluids, especially in complex flow geometries, a thorough numerical analysis of their flow dynamics is imperative. In this research, we present a numerical investigation of purely elastic instability occurring in two- and three-dimensional serpentine channels under conditions where fluid inertia is negligible and across a broad spectrum of polymer relaxation times. Our findings reveal a strong qualitative agreement between the existing experimental results obtained from dilute solutions of flexible polymers in microfluidic devices and the numerical simulations conducted in two and three dimensions using the Oldroyd-B model. Spatial flow observations and statistical analysis of temporal flow features indicate that this purely elastic turbulent flow exhibits nonhomogeneous, non-Gaussian, and anisotropic characteristics across all scales. Additionally, our comparison of two- and three-dimensional simulations demonstrates that the elastic instability is primarily driven by the curvature of the streamlines induced by the flow geometry, rather than the weak secondary flow in the azimuthal direction. Therefore, our two-dimensional numerical simulations successfully replicate, at least qualitatively, the features observed in three-dimensional experiments. Furthermore, spectral analysis suggests that, in comparison to elastic turbulence in the dilute regime, the range of scales for the excited fluctuations is narrower.}},
  author       = {{Garg, Himani and Fureby, Christer}},
  issn         = {{2470-0045}},
  keywords     = {{Elastic Turbulence; microfluidic channel; Viscoelastic fluid; OpenFOAM; Numerical simulations}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E: covering statistical, nonlinear, biological, and soft matter physics}},
  title        = {{Comparison of viscoelastic flows in two- and three-dimensional serpentine channels}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.109.055108}},
  doi          = {{10.1103/PhysRevE.109.055108}},
  volume       = {{109}},
  year         = {{2024}},
}