Visual observations of flow structure and melting front morphology in horizontal ice plate melting from above into a mixture

Sato, Masahiro; Tamura, Ema; Satoh, Yoshinobu; Komatsu, Yoshimi; Tago, Makoto; Beer, H.

doi:10.1007/s00231-006-0175-x

Cited by 8 publications

(4 citation statements)

References 12 publications

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“…Various studies have been performed on the flow in the RB system with freezing or melting boundary conditions. The focus has been on the behaviors of global quantities such as the heat flux, the kinetic energy, and the dynamics of the ice-water interface morphology with a melting phase-change boundary in the RB system (21)(22)(23)(24); pattern selection and instability analysis with a moving solid-water interface (25,26); the bistability of the equilibria induced by different initial conditions (27,28); melting in double diffusive convection (29)(30)(31); and the influences of different container shapes on the melting and convection of phase change materials (32)(33)(34).…”

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confidence: 99%

How the growth of ice depends on the fluid dynamics underneath

Wang

Calzavarini

Sun

et al. 2021

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

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Convective flows coupled with solidification or melting in water bodies play a major role in shaping geophysical landscapes. Particularly in relation to the global climate warming scenario, it is essential to be able to accurately quantify how water-body environments dynamically interplay with ice formation or melting process. Previous studies have revealed the complex nature of the icing process, but have often ignored one of the most remarkable particularities of water, its density anomaly, and the induced stratification layers interacting and coupling in a complex way in the presence of turbulence. By combining experiments, numerical simulations, and theoretical modeling, we investigate solidification of freshwater, properly considering phase transition, water density anomaly, and real physical properties of ice and water phases, which we show to be essential for correctly predicting the different qualitative and quantitative behaviors. We identify, with increasing thermal driving, four distinct flow-dynamics regimes, where different levels of coupling among ice front and stably and unstably stratified water layers occur. Despite the complex interaction between the ice front and fluid motions, remarkably, the average ice thickness and growth rate can be well captured with the theoretical model. It is revealed that the thermal driving has major effects on the temporal evolution of the global icing process, which can vary from a few days to a few hours in the current parameter regime. Our model can be applied to general situations where the icing dynamics occur under different thermal and geometrical conditions.

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confidence: 99%

How the growth of ice depends on the fluid dynamics underneath

Wang

Calzavarini

Sun

et al. 2021

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

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“…Our results qualitatively agree with those from previous experimental investigations. Indeed, polygonal patterns of phase-change interfaces have already been observed in CM experiments using different substances [29][30][31]. In particular, in [30] cellular polygonal patterns were detected in the melting interface of an ice block submitted to horizontally uniform heating at its top.…”

Section: Morphology Of the Phase-change Interfacementioning

confidence: 88%

Basal melting driven by turbulent thermal convection

Esfahani,

Hirata,

Berti

et al. 2018

Preprint

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Melting and, conversely, solidification processes in the presence of convection are key to many geophysical problems. An essential question related to these phenomena concerns the estimation of the (time-evolving) melting rate, which is tightly connected to the turbulent convective dynamics in the bulk of the melt fluid and the heat transfer at the liquid-solid interface. In this work, we consider a convective-melting model, constructed as a generalization of the Rayleigh-Bénard system, accounting for the basal melting of a solid. As the change of phase proceeds, a fluid layer grows at the heated bottom of the system and eventually reaches a turbulent convection state. By means of extensive Lattice-Boltzmann numerical simulations employing an enthalpy formulation of the governing equations, we explore the model dynamics in two and three-dimensional configurations. The focus of the analysis is on the scaling of global quantities like the heat flux and the kinetic energy with the Rayleigh number, as well as on the interface morphology and the effects of space dimensionality. Independently of dimensionality, we find that the convective-melting system behavior shares strong resemblances with that of the Rayleigh-Bénard one, and that the heat flux is only weakly enhanced with respect to that case. Such similarities are understood, at least to some extent, considering the resulting slow motion of the melting front (with respect to the turbulent fluid velocity fluctuations) and its generally little roughness (compared to the height of the fluid layer). Varying the Stefan number, accounting for the thermodynamical properties of the material, also seems to have only a mild effect, which implies the possibility to extrapolate results in numerically delicate low-Stefan setups from more convenient high-Stefan ones. Finally, we discuss the implications of our findings for the geophysically relevant problem of modeling Arctic ice melt ponds.

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“…The related problem of the onset of convective motion involves intrinsic complexities associated with the solid/liquid phase change. Recently, hydrodynamic stability associated with melting or solidification has attracted many researchers' interest [4][5][6][7][8][9]. Sparrow et al [10] examined the coupled effects on stability arising from thermal convection and solidification of a single-component liquid medium.…”

Section: Introductionmentioning

confidence: 99%