Inertial effects on the flow near a moving contact line

Varma, Akhil; Roy, Anubhab; Puthenveettil, Baburaj A.

doi:10.1017/jfm.2021.582

Cited by 7 publications

(4 citation statements)

References 54 publications

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“…However, one must be careful with the steady state advancing contact lines for dense fluids such as water. In those cases, the contact line capillary number might be of order one and inertial effects would play a role therefore altering the stream function solution even at the scales of a few hundred nanometres as shown in [16]. In that case, the Cox region is absent and the inner region of the Stokes flow solutions with slip models we obtained should be matched to the first-order inertially corrected Stokes flow with the no-slip boundary condition.…”

Section: A Note On Asymptotic Matching To the Far-field Solutionmentioning

confidence: 84%

Stream function solutions for some contact line boundary conditions: Navier slip, super slip and the generalized Navier boundary condition

Kulkarni,

Fullana,

Zaleski

2023

Proc. R. Soc. A.

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The stream function solution for the inner region Stokes flow, for a locally plane moving fluid interface near the triple point, is derived considering three different boundary conditions: the Navier slip boundary condition (NBC), the super-slip boundary condition and the generalized Navier boundary condition (GNBC). The NBC, incorporating a slip length parameter λ , is a well-known method for regularization in the context of the three-phase dynamic contact line problem. It is demonstrated that the velocity field solution under this boundary condition maintains a C 0 continuity at the contact line, resulting in a logarithmic divergence of the pressure at the contact line. By contrast, the super-slip boundary condition establishes a proportional relationship between the wall velocity and the normal derivative of the shear stress, leading to a C 1 velocity field. Furthermore, the GNBC, which introduces an uncompensated Young stress to drive the contact line, yields a C 2 velocity field. The dominant terms are explicitly derived, and the analytical approach presented here can be extended to other bi-harmonic problems as well.

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Section: A Note On Asymptotic Matching To the Far-field Solutionmentioning

confidence: 84%

Stream function solutions for some contact line boundary conditions: Navier slip, super slip and the generalized Navier boundary condition

Kulkarni,

Fullana,

Zaleski

2023

Proc. R. Soc. A.

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“…The largest stable at exhibits oscillations similar to the so-called ‘stick-slip’ behaviour (Orejon, Sefiane & Shanahan 2011; Varma, Roy & Puthenveettil 2021). For a prolonged time, the contact line shows more resistance towards movement (i.e.…”

Section: Molecular Dynamics Simulations Of the Sheared Dropletmentioning

confidence: 94%

“…Instead, these may excite oscillation modes of the whole interface. Stick-slip has been theorized for flat surfaces and homogeneous fluids under some flow conditions (Hocking 2001;Eggers 2005;Varma et al 2021). However, to the best of the authors' knowledge, it has not been observed directly.…”

Section: Stick-slip Like Oscillationsmentioning

confidence: 99%

Nanoscale sheared droplet: volume-of-fluid, phase-field and no-slip molecular dynamics

et al. 2022

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The motion of the three-phase contact line between two immiscible fluids and a solid surface arises in a variety of wetting phenomena and technological applications. One challenge in continuum theory is the effective representation of molecular motion close to the contact line. Here, we characterize the molecular processes of the moving contact line to assess the accuracy of two different continuum two-phase models. Specifically, molecular dynamics simulations of a two-dimensional droplet between two moving plates are used to create reference data for different capillary numbers and contact angles. We use a simple-point-charge/extended water model. This model provides a very small slip and a more realistic representation of the molecular physics than Lennard-Jones models. The Cahn–Hilliard phase-field model and the volume-of-fluid model are calibrated against the drop displacement from molecular dynamics reference data. It is shown that the calibrated continuum models can accurately capture droplet displacement and droplet break-up for different capillary numbers and contact angles. However, we also observe differences between continuum and atomistic simulations in describing the transient and unsteady droplet behaviour, in particular, close to dynamical wetting transitions. The molecular dynamics of the sheared droplet provide insight into the line friction experienced by the advancing and receding contact lines. The presented results will serve as a stepping stone towards developing accurate continuum models for nanoscale hydrodynamics.

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“…Recent work seeks to extend the description of capillary-driven flows to scenarios where gas-liquid interfaces are dominated by inertial forces Varma et al (2021); Fiorini et al (2022Fiorini et al ( , 2023c. These investigations highlight the impact of the flow further away from the contact line on the interface shape and its motion.…”

Section: Introductionmentioning

confidence: 99%

An experimental characterization of capillary driven flows in microgravity

Fiorini,

Simonini,

Steelant

et al. 2024

Preprint

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This work investigates the capillary rise dynamics of highly wetting liquids in a divergent U-tube in the microgravity conditions provided by 78th European Space Agency (ESA) parabolic flight. This configuration produces a capillary-driven channel flow. We use image recording in backlight illumination to characterize the interface dynamics and dynamic contact angle of HFE7200 and Di-Propylene Glycol (DPG). For the case of HF7200, we complement the interface measurements with Particle Tracking Velocimetry (PTV) to characterize the velocity fields underneath the moving meniscus. In the experiments with DPG, the liquid column reaches different heights within various experiments, and the measurements show a sharp reduction of the meniscus curvature when the contact line moves from a pre-wet to a dry substrate. In experiments with HFE7200, the interface always moves on a pre-wet surface. Yet a curvature reduction is observed due to the inertial forces on the underlying accelerating flow. The PTV measurements show that the distance from the interface within which the velocity profile adapts to the meniscus velocity shortens as the interface acceleration increases.

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Inertial effects on the flow near a moving contact line

Abstract: Abstract

Cited by 7 publications

References 54 publications

Stream function solutions for some contact line boundary conditions: Navier slip, super slip and the generalized Navier boundary condition

Stream function solutions for some contact line boundary conditions: Navier slip, super slip and the generalized Navier boundary condition

Nanoscale sheared droplet: volume-of-fluid, phase-field and no-slip molecular dynamics

An experimental characterization of capillary driven flows in microgravity

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