Forced flows in liquid bridges

Roisman, Ilia V.; Abboud, Mohammad; Brockmann, Philipp; Berner, Fiona; Berger, Rüdiger; Rothmann-Brumm, Pauline; Sauer, Hans Martin; Dörsam, Edgar; Hussong, Jeanette

doi:10.1016/j.cocis.2023.101738

Cited by 3 publications

(2 citation statements)

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“…This includes the well-known Rayleigh-Taylor instability, driven by the pressure gradient caused by gravity or acceleration, and Saffman-Taylor instabilities (Saffman & Taylor 1958) in which the pressure gradient at the interface is the result of the liquid flow through a porous media. The same mechanism leads also to the emergence of fingers in a liquid bridge formed between two plates, separating with a constant acceleration (Roisman et al 2023). The typical distance l fingers between the fingers is scaled well as…”

Section: Finger Formation During Fast Liquid Bridge Stretchingmentioning

confidence: 86%

“…The point is that the finger instability in a Hele-Shaw cell is a limiting case of that which one finds in the printing press, but that the latter is also related to other instabilities such as the Rayleigh-Taylor instability, or to even more complex mechanisms, which have not yet been fully elucidated. A recent discussion on the possible instabilities that have been observed has been presented by Roisman et al (2023).…”

Section: Introductionmentioning

confidence: 99%

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Gravure printing with a shear-rate-dependent ink

Rothmann-Brumm,

Brockmann,

Roisman

et al. 2024

Flow

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Gravure printing is a type of printing method that uses metal cylinders with engraved cells that hold ink. The ink is transferred directly to the paper or other material by pressing it against the cylinder. The flow associated with gravure printing includes a flow in a liquid bridge formed in the contact region of the cylinders and a thin-film coating flow of the ink. The flow is governed by viscous and capillary forces. In many cases, the flow is unstable, which leads to the formation of instability patterns on the printed surfaces. The analysis of these instabilities is a very challenging problem, especially since industrial inks are usually rheologically complex. In this experimental and theoretical study, the flow of inks on a rotating cylinder is analysed, accounting for the shear-rate-dependent liquid viscosity. A theoretical solution for the film flow allows us to predict the width of the liquid bridge between two cylinders. Moreover, it is shown that the measured characteristic size of the printed pattern is of the same order as the predicted liquid bridge width. We observe a nearly linear dependence of pattern size and liquid bridge width.

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Section: Finger Formation During Fast Liquid Bridge Stretchingmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Gravure printing with a shear-rate-dependent ink

Rothmann-Brumm,

Brockmann,

Roisman

et al. 2024

Flow

Self Cite

View full text Add to dashboard Cite

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Effect of the dynamic contact angle on electromagnetically driven flows in free liquid films

Pototsky,

Suslov

2024

Physics of Fluids

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We study the effect of a dynamic contact angle on an electromagnetically driven flow in a horizontal free electrolyte film stretched between two coaxial cylindrical electrodes and placed in a uniform magnetic field. The flow dynamics and film deformation are described using the reduced hydrodynamic model derived in the lubrication approximation in [A. Pototsky and S. A. Suslov, J. Fluid Mech., 984, A75 (2024)]. The linearized molecular kinetic model is used to relate the dynamic and static contact angles to the wetting-line friction coefficient. Steady azimuthal flow is found for arbitrary static contact angles. Linear stability of the base azimuthal flow with respect to azimuthally invariant perturbations is studied using the numerical continuation method. We find that the flow stability is highly sensitive to variations of the wetting-line friction coefficient and the static contact angle. The least stable azimuthal flow is found for the frictionless contact line corresponding to a free film that remains perpendicular to the surface of the electrodes. The azimuthal flows are found to experience a supercritical Hopf bifurcation upon which they transition to a stable oscillatory dynamic regime characterized by alternating squeezing and swelling of the film near the inner and outer electrodes.

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