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

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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 languageEnglish
Article number064001
Number of pages29
JournalPhysical Review Fluids
Issue number6
Early online date3 Jun 2024
Publication statusPublished - Jun 2024

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


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