Optical study of roughening transition on ice Ih (101&amp;#x0304;0) planes under pressure

Maruyama, Michitaka; Kishimoto, Yuko; Sawada, Tsutomu

doi:10.1016/s0022-0248(96)00769-5

Cited by 33 publications

(40 citation statements)

References 8 publications

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“…1. In previous experiments [16,17] we found that the prism facets appear and the growth shape become faceted below approximately À16 C: The appearance of the prism facets well below this temperature was also shown using a diamondanvil cell [18].…”

Section: Introductionsupporting

confidence: 59%

Roughening transition of prism faces of ice crystals grown from melt under pressure

Maruyama

2005

Journal of Crystal Growth

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Section: Introductionsupporting

confidence: 59%

Roughening transition of prism faces of ice crystals grown from melt under pressure

Maruyama

2005

Journal of Crystal Growth

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“…For example, during dendritic growth the response of the tip operating conditions to pressure-induced changes in the bulk melting point can be examined in this way. We also note that Maruyama et al [61] have examined transitions in the kinetic growth shapes of ice I h , from a circular disc to a hexagonal plate, in response to pressure-induced alterations of the melting point near the roughening transition.…”

Section: Equilibrium Of a Planar Interfacementioning

confidence: 82%

A phase-field model of solidification with convection

Anderson

McFadden

Wheeler

2000

Physica D: Nonlinear Phenomena

177

137

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We develop a phase-field model for the solidification of a pure material that includes convection in the liquid phase. The model permits the interface to have an anisotropic surface energy, and allows a quasi-incompressible thermodynamic description in which the densities in the solid and liquid phases may each be uniform. The solid phase is modeled as an extremely viscous liquid, and the formalism of irreversible thermodynamics is employed to derive the governing equations. We investigate the behavior of our model in two important simple situations corresponding to the solidification of a planar interface at constant velocity: density change flow and a shear flow. In the former case we obtain a non-equilibrium form of the Clausius-Clapeyron equation and investigate its behavior by both a direct numerical integration of the governing equations, and an asymptotic analysis corresponding to a small density difference between the two phases. In the case of a parallel shear flow we are able to obtain an exact solution which allows us to investigate its behavior in the sharp interface limit, and for large values of the viscosity ratio.

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“…The Clausius-Clapeyron pressure effect has been investigated by LaCombe et al [34] as an additional control on the interface melting temperature during dendritic growth. We also note that Maruyama et al [35] have examined transitions in the kinetic growth shapes of ice I h , from a circular disk to a hexagonal plate, in response to pressure-induced alterations of the melting point near the roughening transition.…”

Section: Phase-field Equationmentioning

confidence: 83%

A phase-field model with convection: sharp-interface asymptotics

Anderson

McFadden

Wheeler

2001

Physica D: Nonlinear Phenomena

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We have previously developed a phase-field model of solidification that includes convection in the melt [Physica D 135 (2000) 175]. This model represents the two phases as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid phase. The object of this paper is to examine in detail a simplified version of the governing equations for this phase-field model in the sharp-interface limit to derive the interfacial conditions of the associated free-boundary problem. The importance of this analysis is that it reveals the underlying physical mechanisms built into the phase-field model in the context of a free-boundary problem and, in turn, provides a further validation of the model. In equilibrium, we recover the standard interfacial conditions including the Young-Laplace and Clausius-Clapeyron equations that relate the temperature to the pressures in the two bulk phases, the interface curvature and material parameters. In nonequilibrium, we identify boundary conditions associated with classical hydrodynamics, such as the normal mass flux condition, the no-slip condition and stress balances. We also identify the heat flux balance condition which is modified to account for the flow, interface curvature and density difference between the bulk phases. The interface temperature satisfies a nonequilibrium version of the Clausius-Clapeyron relation which includes the effects of curvature, attachment kinetics and viscous dissipation.

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Optical study of roughening transition on ice Ih (101̄0) planes under pressure

Cited by 33 publications

References 8 publications

Roughening transition of prism faces of ice crystals grown from melt under pressure

Roughening transition of prism faces of ice crystals grown from melt under pressure

A phase-field model of solidification with convection

A phase-field model with convection: sharp-interface asymptotics

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