Linear stability analysis of capillary instabilities for concentric cylindrical shells

Liang, Xinfeng; Deng, Daosheng; Nave, Jean-Christophe; Johnson, Steven G.

doi:10.1017/jfm.2011.260

Cited by 31 publications

(24 citation statements)

References 52 publications

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“…If the core diameter is much smaller than that of the shell d core =d shell 1, then the resulting breakup period of the core may-in turn-be significantly smaller than that of the shell. Consequently, instead of the desired core-shell structure, multiple smaller core particles forming a linear chain extending between the antipodes of the particle are obtained inside a single shell (28,40). We confirm these predictions experimentally (SI Appendix, Fig.…”

Section: Resultssupporting

confidence: 77%

“…Although the thicknesses of the layers in the particle are related deterministically to those of the cylindrical shells in the drawn fiber (28,40), the dynamics of the PRI nevertheless constrains the relative shell diameters for which the breakup results in the intended layered structure. It is well established from the classic Tomotika model that the breakup period of a viscous thread embedded in a viscous matrix is proportional to the diameter of the thread (39).…”

Section: Resultsmentioning

confidence: 99%

“…Furthermore, the satellite particles are formed of the shell material only. The crossover that occurs between the stable (core-shell) and unstable (multiple cores in a shell) regimes at d core =d shell ≈ 0.5 is borne out by calculations based on a linear stability analysis (28) and direct fluiddynamical simulations (40). The potential for forming strings of particles along the axis of a larger particles is exploited below in inducing polarization-sensitive optical scattering.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Digital design of multimaterial photonic particles

Tao

Kaufman

Shabahang

et al. 2016

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

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Scattering of light from dielectric particles whose size is on the order of an optical wavelength underlies a plethora of visual phenomena in nature and is a foundation for optical coatings and paints. Tailoring the internal nanoscale geometry of such "photonic particles" allows tuning their optical scattering characteristics beyond those afforded by their constitutive materials-however, flexible yet scalable processing approaches to produce such particles are lacking. Here, we show that a thermally induced in-fiber fluid instability permits the "digital design" of multimaterial photonic particles: the precise allocation of high refractive-index contrast materials at independently addressable radial and azimuthal coordinates within its 3D architecture. Exploiting this unique capability in all-dielectric systems, we tune the scattering cross-section of equisized particles via radial structuring and induce polarization-sensitive scattering from spherical particles with broken internal rotational symmetry. The scalability of this fabrication strategy promises a generation of optical coatings in which sophisticated functionality is realized at the level of the individual particles.multimaterial fibers | particles | optical scattering | fluid instabilities T he prospect of exercising complete control over the internal 3D structure of multimaterial microparticles and nanoparticles produced in a scalable fashion has profound implications for scientific disciplines ranging from photonics (1, 2) to biomedicine (3-5), and for a multitude of industrial applications, such as cosmetics, sunscreen lotions, optical coatings, and paints (6-8). For example, most paints are emulsions containing dielectric "photonic particles" designed to optimize optical scattering through judicious selection of size-typically on the order of an optical wavelengthand refractive index (9). Further tailoring their scattering characteristics requires tuning an internal high refractive-index contrast nanoscale architecture, which remains an outstanding fabrication challenge despite recent progress (10-14). Indeed, the process kinetics in bottom-up and top-down particle fabrication strategies impose fundamental constraints on the extent of structural control and the magnitude of refractive-index contrast. To date, there is no viable approach for what may be termed "digital design" of a photonic particle: the precise placement of disparate materials compartmentalized at independently addressable coordinates within a particle at the scale of an optical wavelength. Such structural control is envisioned to introduce entirely new optical functionalities that exploit the particle's resonances (15), such as the elimination of backscattering and increasing the directionality of optical scattering (16)(17)(18)(19)(20). Nevertheless, mapping out the phase function of a single isolated photonic particle-to verify its functionality without ensemble averaging-has proven so far to be prohibitively difficult, leading to measurements being carried out on scaled-up pa...

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Section: Resultssupporting

confidence: 77%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Digital design of multimaterial photonic particles

Tao

Kaufman

Shabahang

et al. 2016

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

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“…Below, we discuss some possibilities in turn. Recent studies on linear stability of stationary compound cylinders are due to Chauhan et al (2000) and Liang et al (2011). Our system is isothermal, ruling out thermocapillary effects (Neitzel & Dell'Aversana 2002).…”

Section: Stability Of the Cylindrical Air Filmsmentioning

confidence: 87%

Antibubbles and fine cylindrical sheets of air

Beilharz

Guyon

et al. 2015

J. Fluid Mech.

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Drops impacting at low velocities onto a pool surface can stretch out thin hemispherical sheets of air between the drop and the pool. These air sheets can remain intact until they reach submicron thicknesses, at which point they rupture to form a myriad of microbubbles. By impacting a higher-viscosity drop onto a lower-viscosity pool, we have explored new geometries of such air films. In this way we are able to maintain stable air layers which can wrap around the entire drop to form repeatable antibubbles, i.e. spherical air layers bounded by inner and outer liquid masses. Furthermore, for the most viscous drops they enter the pool trailing a viscous thread reaching all the way to the pinch-off nozzle. The air sheet can also wrap around this thread and remain stable over an extended period of time to form a cylindrical air sheet. We study the parameter regime where these structures appear and their subsequent breakup. The stability of these thin cylindrical air sheets is inconsistent with inviscid stability theory, suggesting stabilization by lubrication forces within the submicron air layer. We use interferometry to measure the air-layer thickness versus depth along the cylindrical air sheet and around the drop. The air film is thickest above the equator of the drop, but thinner below the drop and up along the air cylinder. Based on microbubble volumes, the thickness of the cylindrical air layer becomes less than 100 nm before it ruptures.

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“…The formation of spheres via fluid instability is a well-attested and well-explained phenomenon31323334353637. However, models dealing with this phenomenon assume only the presence of radial and axial instabilities and do not consider existence of non-axisymmetrical occasions, such as that examplified by nanosprings.…”

Section: Modelling Of Heat-induced Transitionmentioning

confidence: 99%

Tailoring self-organized nanostructured morphologies in kilometer-long polymer fiber

Khudiyev

Tobail

Bayındır

2014

Sci Rep

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While nanowires and nanospheres have been utilized in the design of a diverse array of nanoscale devices, recent schemes frequently require nanoscale architectures of higher complexity. However, conventional techniques are largely unsatisfactory for the production of more intricate nanoscale shapes and patterns, and even successful fabrication methods are incompatible with large-scale production efforts. Novel top-down, iterative size reduction (ISR)-mediated approaches have recently been shown to be promising for the production of high-throughput cylindrical and spherical nanostructures, though more complex architectures have yet to be created using this process. Here we report the presence of a hitherto-undescribed transitory region between nanowire and nanosphere transformation, where a diverse array of complex quasi one-dimensional nanostructures is produced by Rayleigh-Plateau instability-mediated deformation during the progress of a combined ISR/thermal instability technique. Temperature-based tailoring of architecturally diverse, indefinitely long, globally parallel, complex nanostructure arrays with high uniformity and low size variation facilitates the development of in-fiber or free-standing nanodevices with significant advantages over on-chip devices.

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Linear stability analysis of capillary instabilities for concentric cylindrical shells

Cited by 31 publications

References 52 publications

Digital design of multimaterial photonic particles

Digital design of multimaterial photonic particles

Antibubbles and fine cylindrical sheets of air

Tailoring self-organized nanostructured morphologies in kilometer-long polymer fiber

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