Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces

Ran Holtzman; Marco Dentz; Marcel Moura; Mykyta V. Chubynsky; Ramon Planet; Jordi Ortín

doi:10.1103/PhysRevFluids.9.064001

Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces

Ran Holtzman, Marco Dentz, Marcel Moura, Mykyta V. Chubynsky, Ramon Planet, Jordi Ortín

Research Centre for Fluid and Complex Systems

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Abstract

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions (“defects”), from a theoretical and numerical standpoint. Our analysis predicts the capillary energy dissipated in abrupt interfacial displacements (jumps) across defects, and relates it to the corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish between “weak” (reversible interface displacement, exhibiting no hysteresis and dissipation) and “strong” (irreversible) defects. We expose the emergence of dissipation and irreversibility caused by spatial interactions, mediated by interfacial tension, among otherwise weak defects. We exemplify this cooperative behavior for a pair of weak defects and establish a critical separation distance, analytically and numerically, verified by a proof-of-concept experiment..

Original language	English
Article number	064001
Number of pages	29
Journal	Physical Review Fluids
Volume	9
Issue number	6
Early online date	3 Jun 2024
DOIs	https://doi.org/10.1103/PhysRevFluids.9.064001
Publication status	Published - Jun 2024

Bibliographical note

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

This document is the author’s post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it.

Funder

Engineering and Physical Sciences Research Council (EP/V050613/1)

Funding

R.H. acknowledges support from the Engineering and Physical Sciences Research Council (EP/V050613/1); M.D., J.O., and R.P. acknowledge the support of the Agencia Estatal de Investigacien (10.13039/501100011033), Ministerio de Ciencia e Innovacien, and European Regional Development Fund A way of making Europe through grants HydroPore PID2019-106887GB-C31 and C32 (M.D. and J.O., respectively), PID2022-839 137652NB-C41 and C42 (M.D. and J.O., respectively), and PID2021-122369NB-I00 (R.P.). M.M. acknowledges the support from the Research Council of Norway through projects 262644 and 324555. R.H. acknowledges support from the Engineering and Physical Sciences Research Council (EP/V050613/1); M.D., J.O., and R.P. acknowledge the support of the Agencia Estatal de Investigaci\u00F3n (10.13039/501100011033), Ministerio de Ciencia e Innovaci\u00F3n, and European Regional Development Fund \u201CA way of making Europe\u201D through grants HydroPore PID2019-106887GB-C31 and C32 (M.D. and J.O., respectively), PID2022-839 137652NB-C41 and C42 (M.D. and J.O., respectively), and PID2021-122369NB-I00 (R.P.). M.M. acknowledges the support from the Research Council of Norway through projects 262644 and 324555.

Funders	Funder number
Ministerio de Ciencia e Innovación
Agencia Estatal de Investigación
The Research Council of Norway	324555, 262644
European Regional Development Fund	PID2019-106887GB-C31, PID2021-122369NB-I00, PID2022-839 137652NB-C41
Engineering and Physical Sciences Research Council	EP/V050613/1

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10.1103/PhysRevFluids.9.064001

Holtzman2024AAMAccepted author manuscript, 1.21 MB

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abstract = "We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions (“defects”), from a theoretical and numerical standpoint. Our analysis predicts the capillary energy dissipated in abrupt interfacial displacements (jumps) across defects, and relates it to the corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish between “weak” (reversible interface displacement, exhibiting no hysteresis and dissipation) and “strong” (irreversible) defects. We expose the emergence of dissipation and irreversibility caused by spatial interactions, mediated by interfacial tension, among otherwise weak defects. We exemplify this cooperative behavior for a pair of weak defects and establish a critical separation distance, analytically and numerically, verified by a proof-of-concept experiment..",

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Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces

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