Critical growth rates of advancing ice-water interfaces for particle encapsulation

Lipp, G.; Körber, Ch.; Rau, G.

doi:10.1016/0022-0248(90)90514-l

Cited by 20 publications

(28 citation statements)

References 8 publications

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“…The same underlying physical phenomena just described explain how, during the solidification of a fluid in which insoluble particles are dispersed, the solid phase can be devoid of those particles. Experiments show that if the mixture is frozen at a rate greater than a critical value V c , then the particles are trapped in the solid phase, whereas at rates slower than V c , they are pushed ahead of the phase boundary and remain in the fluid (e.g., Azouni et al 1990, Lipp et al 1990, Lipp & Körber 1993.…”

Section: Thermodynamic Buoyancy and The Phenomenon Of Regelationmentioning

confidence: 98%

Premelting Dynamics

Wettlaufer

Worster

2006

Annu. Rev. Fluid Mech.

235

220

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When the free surfaces of most solids approach their bulk melting temperatures from below, the molecular structure of the material gives way to a disordered structure with some attributes of both the solid and liquid phases. When the temperature is sufficiently close to that of bulk transition, the surface melts and literally flows as a viscous fluid. This phenomenon, called interfacial premelting, lies at the heart of the microscopic theory of melting of solid matter, and captures the interest of condensed matter physicists and physical chemists alike. The process is ubiquitous and responsible for a wide range of consequences in materials with biological, geophysical, and technological significance. Because such systems are often exposed to spatial or temporal variations in thermodynamic forcing, there are a host of fluid mechanical phenomena that result from this underlying melting behavior. The fluid dynamics of unfrozen surfaces holds clues for understanding the bulk behavior of polycrystalline materials, from Earth's mantle to the stratosphere and beyond. In this review we focus on the fluid dynamical consequences of the premelting of solids.

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Section: Thermodynamic Buoyancy and The Phenomenon Of Regelationmentioning

confidence: 98%

Premelting Dynamics

Wettlaufer

Worster

2006

Annu. Rev. Fluid Mech.

235

220

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“…A best-"t line is shown running through each of the data sets. The di!erent symbols correspond to the following particle materials in water: (a) copper with G+10 K m\ [19], the best-"t line has a slope of !0.9; (b) copper with G+10 K m\ [19], slope !1.2; (c) tungsten with G+10 K m\ [19], slope !0.4; (d) latex with G+10 K m\ [20], slope !1.0; (e) latex with G+4; 10 K m\ [21], slope !0.6; (f) latex with G+1.8; 10 K m\ [22], slope !0.9; (g) nylon with G+200 K m\ [23], slope !1.1. The upward pointing triangles correspond to polystyrene particles in a succinonitrile melt with G+10 K m\ and a slope of !1.0 [24].…”

Section: Particle Velocitymentioning

confidence: 99%

“…The predicted inverse relationship between < and R is consistent with the experimental data for most of these studies. The exceptions are the experiments with tungsten (data set c) [19] and one set of experiments with latex particles (data set e) [21] where the data is represented best by lines with slopes of !0.4 and !0.6, respectively. However, each of the best-"t lines through the remaining seven data sets has a slope near the predicted value of negative one.…”

Section: Particle Velocitymentioning

confidence: 99%

The interaction between a particle and an advancing solidification front

Rempel

Worster

1999

Journal of Crystal Growth

144

172

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We derive analytical expressions for the velocity of an insoluble particle near an advancing solidi"cation front when the intermolecular interactions are described by a power-law dependence between the "lm thickness and the undercooling. We predict that the maximum particle velocity, which corresponds to the lowest solidi"cation velocity at which particle trapping occurs, depends inversely on the particle radius. The critical velocity is less sensitive to the temperature gradient and the precise dependence changes with di!erent interaction types. When the critical velocity is exceeded, the particle becomes trapped within the solid region after being pushed slightly ahead of its initial position. The predicted particle displacement is typically only a fraction of the particle radius. Particle buoyancy can enhance or reduce the tendency for the particle to be captured, though it does not a!ect the parametric dependence of the critical velocity on the particle radius and the temperature gradient.

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“…If the physical mechanisms controlling the interactions are relatively well understood for single large particles, the solidification behaviour of colloidal suspensions is a matter of great interest, but highly challenging. Conclusions derived from single large particles experiments [1][2][3][4][5][6] can hardly be extrapolated to smaller particles (<1 microns) where Brownian motion is dominating and segregation effects are negligible. The analysis is further complicated by the necessity to take into account the various interactions between particles, which could be of different natures: electrostatic, Van der Waals, steric, etc… Additional deviations from the ideal situation, which could be modelled, such as the distribution of particle size, their surface state, charge and roughness, could have a major influence over the general behaviour and stability of the system but are difficult to take into account theoretically.…”

Section: Introductionmentioning

confidence: 99%

In Situ X‐Ray Radiography and Tomography Observations of the Solidification of Aqueous Alumina Particles Suspensions. Part II: Steady State

Deville

Maire

Lasalle

et al. 2009

Journal of the American Ceramic Society

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This paper investigates the behaviour of colloidal suspensions of alumina particles during directional solidification, by in situ high-resolution observations using X-ray radiography and tomography. This second part is focussed on the evolution of ice crystals during steady state growth (in terms of interface velocity) and on the particles redistribution taking place in this regime. In particular, it is shown that diffusion cannot determine the concentration profile and the particles redistribution in this regime of interface velocities (20-40 microns/s); constitutional supercooling arguments cannot be invoked to interpret particles redistribution. Particles are redistributed by a direct interaction with the moving solidification interface. Several parameters controlling the particles redistribution were identified, namely the interface velocity, the particle size, the shape of the ice crystals and the orientation relationships between the crystals and the temperature gradient.

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Critical growth rates of advancing ice-water interfaces for particle encapsulation

Cited by 20 publications

References 8 publications

Premelting Dynamics

Premelting Dynamics

The interaction between a particle and an advancing solidification front

In Situ X‐Ray Radiography and Tomography Observations of the Solidification of Aqueous Alumina Particles Suspensions. Part II: Steady State

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