2006
DOI: 10.1017/s0022112006009268
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Solidification of colloidal suspensions

Abstract: We present a mathematical model of the unidirectional solidification of a suspension of hard-sphere colloids. Similarity solutions are obtained for the volume fraction and temperature profiles ahead of a planar solidification front. The highly nonlinear functional dependence of the diffusion coefficient on the volume fraction gives rise to a range of behaviours. For small particles, Brownian diffusion dominates and the system behaviour is reminiscent of binary-alloy solidification. Constitutional supercooling … Show more

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Cited by 167 publications
(200 citation statements)
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“…The (a 0 /d) n term is a correction to the disjoining force on the particle [20]. Peppin et al [27,28] developed mathematical models for the unidirectional solidification of the colloidal suspensions with hard spheres. The investigations were focused on the planar interfaces moving at low velocities (0.1-1 μm/s) by optical observation of the systems, which reach equilibrium by Brownian diffusion [20,27,28].…”
Section: Cryotropic Gelation Features and The Nature Of Freezing Processmentioning
confidence: 99%
See 1 more Smart Citation
“…The (a 0 /d) n term is a correction to the disjoining force on the particle [20]. Peppin et al [27,28] developed mathematical models for the unidirectional solidification of the colloidal suspensions with hard spheres. The investigations were focused on the planar interfaces moving at low velocities (0.1-1 μm/s) by optical observation of the systems, which reach equilibrium by Brownian diffusion [20,27,28].…”
Section: Cryotropic Gelation Features and The Nature Of Freezing Processmentioning
confidence: 99%
“…Peppin et al [27,28] developed mathematical models for the unidirectional solidification of the colloidal suspensions with hard spheres. The investigations were focused on the planar interfaces moving at low velocities (0.1-1 μm/s) by optical observation of the systems, which reach equilibrium by Brownian diffusion [20,27,28]. To understand the critical parameters controlling the stability of solidification interfaces in colloidal suspensions, where the freezing velocities were in the range 10-100 μm/s, X-ray radiography and tomography were used to investigate the stability of a cellular interface [29].…”
Section: Cryotropic Gelation Features and The Nature Of Freezing Processmentioning
confidence: 99%
“…where D is the particle diffusivity, k is the permeability, η is the fluid viscosity, T is the absolute temperature and P is the mixture pressure (Russel et al 1989;Peppin et al 2006). Given measurements of the permeability and osmotic pressure Π , equation (2.4) can be used to determine the diffusivity as a function of volume fraction.…”
Section: Physico-chemical Properties (A) Freezing-point Depressionmentioning
confidence: 99%
“…For example, in soils composed mainly of silt particles, the ice usually forms nearly planar layers, called ice lenses (Taber 1929;Watanabe & Mizoguchi 2000), whereas in a wide range of clays and colloidal suspensions, the ice can grow in several directions, producing a remarkable variety of patterns (Taber 1929;Chamberlain & Gow 1979;Brown 1984;Deville et al 2007; figure 1). Recently, we proposed a mechanism for ice segregation in freezing colloidal suspensions based on the concept of morphological instability studied in alloys quantitatively applied to the ice-suspension interface (Peppin et al 2006(Peppin et al , 2007(Peppin et al , 2008. The approach relies essentially on treating a colloidal suspension as a 'two-component thermodynamic system' in which the solute particles are vastly larger than the solvent, and by exploiting the physical basis for the dynamics and thermodynamics of pre-melting between these particles and the frozen solvent.…”
Section: Introductionmentioning
confidence: 99%
“…If some common characteristics between these two systems are encountered, such as the relationship between the structural wavelength and the interface velocity [7], it is nevertheless necessary to incorporate the specificities associated to particles in the analysis. Such an effort is under way, under the so-called "colloidal alloys" designation [8][9][10][11]. Experimental results gathered so far concentrated on low interface velocities systems (<1 micron/s), which are hardly relevant to the conditions encountered in the materials processing route called freeze-casting.…”
Section: Introductionmentioning
confidence: 99%