Volumetric evolution of elastic turbulence in porous media
Volumetric evolution of elastic turbulence in porous media
Viscoelastic flow instability, which is compelled by elastic effects rather than inertia, can be driven to a chaotic state termed elastic turbulence (ET) manifested as strong velocity fluctuations with an algebraic decay in the frequency spectrum and increased mixing. We report the first spatiotemporally complete description of ET by considering a broad volume within a novel three-dimensional ordered porous medium, reconstructing flow at a micrometre characteristic length scale ( Reynolds numbers≪1
) via time-resolved microtomographic particle image velocimetry. Beyond a critical Weissenberg number of 2, we observe an elastic flow instability accompanied by an enhanced pressure drop with spectral characteristics typical of ET. Polymer chains in the ET flow state are advected along increasingly curved streamlines between pores such that they accumulate strain and generate a local flow instability evaluated per an established instability criterion based on local evaluation of elastic tensile stress and streamline curvature. The onset of ET leads to increased pore-scale resistance and positive feedback on upstream streamline curvature. ET is thus characterized by a continuous evolution between states of laminar and unstable flow: pores with unstable flow flood their adjacent peers and thus encourage straightened streamlines and flow stability across the array, while positive feedback from flow resistance on streamline curvature results in the instability propagating upstream along the array. By employing a geometrically ordered medium, we permit flow state communication between pores, yielding generalized insights highlighting the significance of spatial correlation and flow history, and thus provide new avenues for explaining the mechanisms of ET.
Carlson, Daniel W.
c0f88797-732c-46ef-8e74-a5186d4733bf
10 November 2022
Carlson, Daniel W.
c0f88797-732c-46ef-8e74-a5186d4733bf
Carlson, Daniel W., Toda-Peters, Kazumi, Shen, Amy Q. and Haward, Simon J.
(2022)
Volumetric evolution of elastic turbulence in porous media.
Journal of Fluid Mechanics.
(doi:10.1017/jfm.2022.836).
Abstract
Viscoelastic flow instability, which is compelled by elastic effects rather than inertia, can be driven to a chaotic state termed elastic turbulence (ET) manifested as strong velocity fluctuations with an algebraic decay in the frequency spectrum and increased mixing. We report the first spatiotemporally complete description of ET by considering a broad volume within a novel three-dimensional ordered porous medium, reconstructing flow at a micrometre characteristic length scale ( Reynolds numbers≪1
) via time-resolved microtomographic particle image velocimetry. Beyond a critical Weissenberg number of 2, we observe an elastic flow instability accompanied by an enhanced pressure drop with spectral characteristics typical of ET. Polymer chains in the ET flow state are advected along increasingly curved streamlines between pores such that they accumulate strain and generate a local flow instability evaluated per an established instability criterion based on local evaluation of elastic tensile stress and streamline curvature. The onset of ET leads to increased pore-scale resistance and positive feedback on upstream streamline curvature. ET is thus characterized by a continuous evolution between states of laminar and unstable flow: pores with unstable flow flood their adjacent peers and thus encourage straightened streamlines and flow stability across the array, while positive feedback from flow resistance on streamline curvature results in the instability propagating upstream along the array. By employing a geometrically ordered medium, we permit flow state communication between pores, yielding generalized insights highlighting the significance of spatial correlation and flow history, and thus provide new avenues for explaining the mechanisms of ET.
This record has no associated files available for download.
More information
Accepted/In Press date: 26 September 2022
e-pub ahead of print date: 26 October 2022
Published date: 10 November 2022
Identifiers
Local EPrints ID: 507208
URI: http://eprints.soton.ac.uk/id/eprint/507208
ISSN: 0022-1120
PURE UUID: cbfe6fed-97e7-43ca-9f82-a105aca84f9a
Catalogue record
Date deposited: 01 Dec 2025 17:44
Last modified: 02 Dec 2025 03:07
Export record
Altmetrics
Contributors
Author:
Daniel W. Carlson
Author:
Kazumi Toda-Peters
Author:
Amy Q. Shen
Author:
Simon J. Haward
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics