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Wettability controls slow immiscible displacement through local interfacial instabilities.

MPG-Autoren
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Jung,  Michael
Group Geometry of Fluid Interfaces, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Brinkmann,  Martin
Group Theory of wet random assemblies, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Seemann,  Ralf
Group Geometry of Fluid Interfaces, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Hiller,  Thomas
Group Theory of wet random assemblies, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Sanchez de la Lama,  Marta
Group Theory of wet random assemblies, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Herminghaus,  Stephan
Group Granular matter and irreversibility, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Zitation

Jung, M., Brinkmann, M., Seemann, R., Hiller, T., Sanchez de la Lama, M., & Herminghaus, S. (2016). Wettability controls slow immiscible displacement through local interfacial instabilities. Physical Review Fluids, 1(7): 074202. doi:10.1103/PhysRevFluids.1.074202.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-002B-B4C5-F
Zusammenfassung
Immiscible fluid displacement with average front velocities in the capillary-dominated regime is studied in a transparent Hele-Shaw cell with cylindrical posts. Employing various combinations of fluids and wall materials allows us to cover a range of advancing contact angles 46◦ θa 180◦ of the invading fluid in our experiments. In parallel, we study the displacement process in particle-based simulations that account for wall wettability. Considering the same arrangement of posts in experiments and simulation, we find a consistent crossover between stable interfacial displacement at θa 80◦ and capillary fingering at high contact angles θa 120◦. The position of the crossover is quantified through the evolution of the interface length and the final saturation of the displaced fluid. A statistical analysis of the local displacement processes demonstrates that the shape evolution of the fluid front is governed by local instabilities as proposed by Cieplak and Robbins for a quasistatic interfacial displacement [Cieplak and Robbins, Phys. Rev. Lett. 60, 2042 (1988)]. The regime of stable front advances coincides with a corresponding region of contact angles where cooperative interfacial instabilities prevail. Capillary fingering, however, is observed only for large θa , where noncooperative instabilities dominate the invasion process.