Thermal effects in dynamics of interfaces

Umantsev, Alexander

doi:10.1063/1.1448485

Cited by 7 publications

(22 citation statements)

References 33 publications

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“…Cahn and Hilliard [9,10] proposed to define the free energy as a function of not 40 only concentration but also of the concentration gradient, adding a term that takes into account the surface tension effects. They used this approach primarily to model the dynamics of phase transitions in solids [11,4]. Later, the same idea was used to define the phase transitions in liquids, and the full equations for the thermo-and hydrodynamic evolution of liquid/liquid binary mixtures were derived by Lowengrub and Truskinovsky [12].…”

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confidence: 99%

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On the phase-field modelling of a miscible liquid/liquid boundary

Xie

Vorobev

2016

Journal of Colloid and Interface Science

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Mixing of miscible liquids is essential for numerous processes in industry and nature. Mixing, i.e. interpenetration of molecules through the liquid/liquid boundary, occurs via interfacial diffusion.Mixing can also involve externally or internally driven hydrodynamic flows, and can lead to de- approach that is used as a physics-based model for the thermo-and hydrodynamic evolution of binary mixtures. Within this approach, the diffusion flux is defined through the gradient of chemical potential, and, in particular, includes the effect of barodiffisuon. The dynamic interfacial stresses at the miscible interface are also taken into account. The simulations showed that such an approach can accurately reproduce the shape of the solute/solvent boundary, and some aspects of the diffusion dynamics. Nevertheless, all experimentally-observed features of the diffusion motion of the solute/solvent boundary, were not reproduced.

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confidence: 99%

“…We are unaware of any experimental measurements of the latent 210 heats for dissolution processes. For the processes of melting and solidification though, the thermal diffusion of the latent heat can define the motion of a liquid/solid boundary [31,11].…”

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confidence: 99%

On the phase-field modelling of a miscible liquid/liquid boundary

Xie

Vorobev

2016

Journal of Colloid and Interface Science

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“…(9) may be understood in the sense of disequilibrium because expressions for the surface energy at equilibrium, Eq. (6), and away from it coincide [12]. The equilibrium definition of the interfacial thickness, Eq.…”

Section: Interfacementioning

confidence: 97%

“…To elucidate the thermal effects it is advantageous to introduce another measurable (non-diverging) interfacial quantity-the relative surface entropy with respect to the OP [11,12]:…”

Section: Interfacementioning

confidence: 99%

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Thermal effects of phase transformations: A review

Umantsev

2007

Physica D: Nonlinear Phenomena

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All the stages of phase transformations in materials, nucleation, growth, and coarsening, are subject to thermal effects that stem from the redistribution of energy in the system, like release of latent heat, and heat conduction. The thermal effects change the rate and outcome of the transformation and may result in the appearance of unusual states or phases, in particular in nanosystems. This review will cover the attempts of researchers to build a comprehensive theory of thermal effects in different phase transformations. Although the dynamical Ginzburg-Landau (continuum) approach will be used for the analysis of the effects, they are robust and conceivably independent of the theoretical method employed. On general physical grounds a possibility of an oscillatory regime in nucleation is considered and evolution equations for the interfacial motion are derived. The equations show that there are two distinctly different sets of thermal effects of interface motion: one set originates from the existence of the Gibbs-Duhem thermodynamic force on the interface, which has opposite directions compared to the velocity of the interface in the cases of continuous and discontinuous transitions, resulting in a heat trapping effect for the latter and a drag effect for the former. The other set of thermal effects stems from the existence of the surface internal energy and the necessity to carry it over together with the moving interface. As a result, temperature double layers accompany moving domain boundaries after a continuous transition or the surface creation and dissipation effect appear after a discontinuous one. An unusual, novel phase that may appear in isolated nanosystems (adiabatic nanophase) is described. Several experiments are suggested for the verification of the thermal effects in different material systems.

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Vibrational convection in a heterogeneous binary mixture. Part 1. Time-averaged equations

Vorobev

Lyubimova

2019

J. Fluid Mech.

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High-frequency vibrations of a container filled with a fluid generate pulsation flows that however are barely visible with the naked eye, and induce the slow but large-amplitude averaged flows that are important for various practical applications. In this work we derive a theoretical model that gives the averaged description of the influence of uniform high-frequency vibrations on an isothermal mixture of two slowly miscible liquids. The miscible multiphase system is described within the framework of the phase-field approach. The full Cahn–Hillard–Navier–Stokes equations are split into the separate systems for the quasi-acoustic, pulsating and averaged flow fields, eliminating the need for the resolution of the short time scale pulsation motion and thus making the analysis of the long-term evolution much more efficient. The resultant averaged model includes the effects of concentration diffusion and barodiffusion, the dynamic interfacial stresses and the generation of the hydrodynamic flows by non-homogeneities of the concentration field (when they are combined with the effects of gravity and vibrations). The resultant model for the vibrational convection in a heterogeneous mixture of two fluids separated by diffusive boundaries could be used for the description of processes of mixing/de-mixing, solidification/melting, polymerisation, etc. in the presence of vibrations.

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Thermal effects in dynamics of interfaces

Cited by 7 publications

References 33 publications

On the phase-field modelling of a miscible liquid/liquid boundary

On the phase-field modelling of a miscible liquid/liquid boundary

Thermal effects of phase transformations: A review

Vibrational convection in a heterogeneous binary mixture. Part 1. Time-averaged equations

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