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Lagrangian stretching reveals stress topology in viscoelastic flows

Viscoelastic flows are pervasive in a host of natural and industrial processes, where the emergence of nonlinear and time-dependent dynamics regulates flow resistance, energy consumption, and particulate dispersal. Polymeric stress induced by the advection and stretching of suspended polymers feeds...

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Autores principales: Kumar, Manish, Guasto, Jeffrey S., Ardekani, Arezoo M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9945992/
https://www.ncbi.nlm.nih.gov/pubmed/36701365
http://dx.doi.org/10.1073/pnas.2211347120
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author Kumar, Manish
Guasto, Jeffrey S.
Ardekani, Arezoo M.
author_facet Kumar, Manish
Guasto, Jeffrey S.
Ardekani, Arezoo M.
author_sort Kumar, Manish
collection PubMed
description Viscoelastic flows are pervasive in a host of natural and industrial processes, where the emergence of nonlinear and time-dependent dynamics regulates flow resistance, energy consumption, and particulate dispersal. Polymeric stress induced by the advection and stretching of suspended polymers feeds back on the underlying fluid flow, which ultimately dictates the dynamics, instability, and transport properties of viscoelastic fluids. However, direct experimental quantification of the stress field is challenging, and a fundamental understanding of how Lagrangian flow structure regulates the distribution of polymeric stress is lacking. In this work, we show that the topology of the polymeric stress field precisely mirrors the Lagrangian stretching field, where the latter depends solely on flow kinematics. We develop a general analytical expression that directly relates the polymeric stress and stretching in weakly viscoelastic fluids for both nonlinear and unsteady flows, which is also extended to special cases characterized by strong kinematics. Furthermore, numerical simulations reveal a clear correlation between the stress and stretching field topologies for unstable viscoelastic flows across a broad range of geometries. Ultimately, our results establish a connection between the Eulerian stress field and the Lagrangian structure of viscoelastic flows. This work provides a simple framework to determine the topology of polymeric stress directly from readily measurable flow field data and lays the foundation for directly linking the polymeric stress to flow transport properties.
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spelling pubmed-99459922023-07-26 Lagrangian stretching reveals stress topology in viscoelastic flows Kumar, Manish Guasto, Jeffrey S. Ardekani, Arezoo M. Proc Natl Acad Sci U S A Physical Sciences Viscoelastic flows are pervasive in a host of natural and industrial processes, where the emergence of nonlinear and time-dependent dynamics regulates flow resistance, energy consumption, and particulate dispersal. Polymeric stress induced by the advection and stretching of suspended polymers feeds back on the underlying fluid flow, which ultimately dictates the dynamics, instability, and transport properties of viscoelastic fluids. However, direct experimental quantification of the stress field is challenging, and a fundamental understanding of how Lagrangian flow structure regulates the distribution of polymeric stress is lacking. In this work, we show that the topology of the polymeric stress field precisely mirrors the Lagrangian stretching field, where the latter depends solely on flow kinematics. We develop a general analytical expression that directly relates the polymeric stress and stretching in weakly viscoelastic fluids for both nonlinear and unsteady flows, which is also extended to special cases characterized by strong kinematics. Furthermore, numerical simulations reveal a clear correlation between the stress and stretching field topologies for unstable viscoelastic flows across a broad range of geometries. Ultimately, our results establish a connection between the Eulerian stress field and the Lagrangian structure of viscoelastic flows. This work provides a simple framework to determine the topology of polymeric stress directly from readily measurable flow field data and lays the foundation for directly linking the polymeric stress to flow transport properties. National Academy of Sciences 2023-01-26 2023-01-31 /pmc/articles/PMC9945992/ /pubmed/36701365 http://dx.doi.org/10.1073/pnas.2211347120 Text en Copyright © 2023 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/This article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND). (https://creativecommons.org/licenses/by-nc-nd/4.0/) .
spellingShingle Physical Sciences
Kumar, Manish
Guasto, Jeffrey S.
Ardekani, Arezoo M.
Lagrangian stretching reveals stress topology in viscoelastic flows
title Lagrangian stretching reveals stress topology in viscoelastic flows
title_full Lagrangian stretching reveals stress topology in viscoelastic flows
title_fullStr Lagrangian stretching reveals stress topology in viscoelastic flows
title_full_unstemmed Lagrangian stretching reveals stress topology in viscoelastic flows
title_short Lagrangian stretching reveals stress topology in viscoelastic flows
title_sort lagrangian stretching reveals stress topology in viscoelastic flows
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9945992/
https://www.ncbi.nlm.nih.gov/pubmed/36701365
http://dx.doi.org/10.1073/pnas.2211347120
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