Breakup of a Liquid Jet Containing Solid Particles: A Singularity Approach

Hameed, M.; Morris, Jeffrey F.

doi:10.1137/080715986

Cited by 15 publications

(11 citation statements)

References 14 publications

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“…3D clearly shows a dependence of the power-law prefactor on particle size. In fact, even at much lower packing fractions, particle-induced deformations dominate the local curvature in the neck region (28). Therefore, the local pressure at the surface may not be related to the macroscopic mean curvature, as in the Laplace-Young equation, but instead to particle-induced menisci.…”

Section: Resultsmentioning

confidence: 99%

“…Although previous work (27)(28)(29)(30) has sought to connect pure liquids with suspensions, these deformations leave it unclear as to whether the framework of pure liquid breakup, specifically self-similarity and scaling, can be used, or if suspension breakup represents a new class of topological transition outside the canon of pure liquids. We find strong experimental evidence for the latter: The presence of particle protrusions cannot be ignored, or even treated as a small perturbation, but instead necessitates an entirely new description of the boundary stress and by extension a new type of topological transition.…”

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confidence: 99%

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Droplet formation and scaling in dense suspensions

Miskin

Jaeger

2012

Proc. Natl. Acad. Sci. U.S.A.

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When a dense suspension is squeezed from a nozzle, droplet detachment can occur similar to that of pure liquids. While in pure liquids the process of droplet detachment is well characterized through self-similar profiles and known scaling laws, we show here the simple presence of particles causes suspensions to break up in a new fashion. Using high-speed imaging, we find that detachment of a suspension drop is described by a power law; specifically we find the neck minimum radius, r m , scales like τ 2 3 near breakup at time τ ¼ 0. We demonstrate data collapse in a variety of particle/ liquid combinations, packing fractions, solvent viscosities, and initial conditions. We argue that this scaling is a consequence of particles deforming the neck surface, thereby creating a pressure that is balanced by inertia, and show how it emerges from topological constraints that relate particle configurations with macroscopic Gaussian curvature. This new type of scaling, uniquely enforced by geometry and regulated by the particles, displays memory of its initial conditions, fails to be self-similar, and has implications for the pressure given at generic suspension interfaces.particle packing | contact angle | irrotational flow | jamming T he rupture of a single volume filled with matter to produce two unconnected volumes, a transition between two distinct topologies, plays a fundamental role in a wide range of phenomena from dripping liquids (1, 2), to breakup of nano-jets (3-5), to metal rods pinching off (6), to black-string instabilities in general relativity (7,8). In biological systems, topological transitions are equally fundamental because they govern processes like cell division (9), endocytosis (10), and collapsing bacterial colonies (11).Of these examples, liquid droplet formation is particularly notable because it exhibits many of the exotic features of a topological transition, such as singularities and scaling, while being accessible enough to warrant thorough experimental examination (12-18). The result has been a powerful framework that characterizes the final moments of pure liquid droplet detachments using only the relative strengths of surface tension, viscous dissipation, and inertial stress (1, 2). For these liquids, the initial conditions become irrelevant as the system nears the singular point of snap off. Instead, the material parameters alone assign both a self-similar profile defining the shape of the drop and a power law governing how this shape scales close to the final moments of breaking.The success of self-similarity and scaling approaches has prompted attempts to extend pure liquid analysis to other instances of free surface flows. In many cases, when the boundary stresses originate from surface tension, the framework of pure liquid detachment can be modified successfully and self-similar structures govern the breakup (19-21). However, in some cases the driving force comes from an alternative source, as in the case of bubble pinch-off (22-24), and self-similarity breaks down: To describe detachm...

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Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Droplet formation and scaling in dense suspensions

Miskin

Jaeger

2012

Proc. Natl. Acad. Sci. U.S.A.

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“…For instance, the presence of particles modify the pinch-off of suspension drops (see e.g. Furbank & Morris 2004;Bonnoit et al 2012), the quasistatic breakup of a liquid bridge (McIlroy & Harlen 2014;Lindner, Fiscina & Wagner 2015;Château, Guazzelli & Lhuissier 2018), the stability of jets (Hameed & Morris 2009;Hoath et al 2014;Château & Lhuissier 2019), the fragmentation processes of particle-laden thin films (Raux et al 2020), but also the contact line dynamics (Zhao et al 2020). Besides, during the dip-coating of a plate the presence of particles leads to different coating regimes (Ghosh, Fan & Stebe 2007;Colosqui, Morris & Stone 2013;Gans et al 2019;Palma & Lhuissier 2019).…”

Section: Introductionmentioning

confidence: 99%

Entrainment of particles during the withdrawal of a fibre from a dilute suspension

et al. 2020

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“…To gain further insight to this complex process, analytical and numerical methods have been applied. Hameed and Morris (2009) developed a matched asymptotic expansion model that was solved by an implicit finite difference scheme. They used their model to investigate the influence of a single particle in the thread using a symmetric force dipole (known as a stresslet) to represent the particle.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulations of particle-laden liquid bridges: Effects of volume fraction and wettability

Connington

Miskin

Lee

et al. 2015

International Journal of Multiphase Flow

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a b s t r a c tThe influence of particles on the dynamics and eventual rupture of stretching liquid bridges is demonstrated experimentally in a drop-forming case. To analyze the particle-scale basis for the influence of particles in this flow, a lattice Boltzmann algorithm for a three-phase system of liquid, gas, and solid particles, has been developed. This provides full coupling between particles and fluids, fluid interfacial forces, and possible entry of particles into the interface (i.e. full and partial wetting by the liquid are considered). This work details the numerical method and its validation, and presents results of the simulations and related experiments. Fully-wetting particles up to a solid volume fraction of / ¼ 0:3 monotonically increased the rupture length of liquid bridges, as seen in experiments; experimental results show that the increase continues to a maximum at / % 0:4, a condition beyond the present numerical capability. Depending on the wettability and volume fraction of the particles in the liquid bridge, particles can alter the structure of the bridge at pinch-off, suppress satellite drops, or produce asymmetrical pendant/sessile suspension drops as a result of their discrete nature. Particles with a neutrally wetting contact angle (h ¼ 90 ) can reside in the bulk or be immersed in the interface if fluid deformation brings them into contact with it, and capillary forces are found to bring the interfacial particles near the narrow region (or ''throat'') of the bridge prior to rupture. Fully wetting particles (h % 0 ) remained interior to the liquid bridge, leaving less space to escape the throat region. Neutrally wetting particles increased the rupture length and altered the pinch-off structure relative to the particle-free case, but less so than fully wetting particles.

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Breakup of a Liquid Jet Containing Solid Particles: A Singularity Approach

Cited by 15 publications

References 14 publications

Droplet formation and scaling in dense suspensions

Droplet formation and scaling in dense suspensions

Entrainment of particles during the withdrawal of a fibre from a dilute suspension

Lattice Boltzmann simulations of particle-laden liquid bridges: Effects of volume fraction and wettability

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