A phase field model for isothermal crystallization of oxide melts

Heulens, Jeroen; Blanpain, Bart; Moelans, Nele

doi:10.1016/j.actamat.2010.12.016

Cited by 45 publications

(25 citation statements)

References 25 publications

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“…The composition of the solid particle remains constant during a single simulation and determines the value of the solid-liquid interfacial energies, as shown by equations (8) and (10). Thus, for a given γ LO,LM , this x Svalue will determine the contact angle.…”

Section: Effect Of S/l Interfacial Energymentioning

confidence: 99%

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Phase field modelling of the attachment of metallic droplets to solid particles in liquid slags: Influence of interfacial energies and slag supersaturation

Bellemans

Moelans

Verbeken

2015

Computational Materials Science

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Several pyrometallurgical industries encounter production losses due to the attachment of metallic droplets to solid particles in slags. Although scarce, due to experimental challenges, the available results indicate the importance of interfacial energies.Simulations based on a phase field model potentially circumvent this lack of experimental data and allow a more systematic insight into the observed phenomenon.In the present work, a phase field model for solid-liquid binary systems with spinodal decomposition in the liquid is implemented to simulate the metal droplet formation and growth in slags with non-reacting solid particles. The simulations allowed evaluating the influence of the interfacial energies and initial slag composition on the attachment of metallic droplets to solid particles as a function of time for four different regimes, namely no wettability of the metal on the particle, low wettability, high wettability and full wettability.

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Section: Effect Of S/l Interfacial Energymentioning

confidence: 99%

“…during solidification [9,10], solid-state phase transformations [11] and solid-state sintering [12]. In this paper, a model is introduced that captures the basic processes involved in the formation, growth and evolution of liquid metal droplets in an oxide melt with dispersed solid oxide particles.…”

Section: Introductionmentioning

confidence: 99%

Phase field modelling of the attachment of metallic droplets to solid particles in liquid slags: Influence of interfacial energies and slag supersaturation

Bellemans

Moelans

Verbeken

2015

Computational Materials Science

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“…They found that the shape of the facet depends on the narrowness of minimum; the facet is slightly curved for a function having a smooth minimum but is completely flat for a function whose minimum shows a sharp cusp. Their anisotropy functions have been adopted in recent papers [16,17]. Most of the above studies have considered anisotropy functions with n-fold symmetry, and so, they report the appearance of minima at regular intervals.…”

Section: Introductionmentioning

confidence: 98%

Anisotropy function of kinetic coefficient for phase-field simulations: Reproduction of kinetic Wulff shape with arbitrary face angles

Miura

2013

Journal of Crystal Growth

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“…A significant advantage of PFM is that it does not need to track the interfacial positions during the evolution of microstructure. Based on authors' best knowledge, only Liu et al 20 used the PFM model developed by Heulens et al 33 to study the alumina dissolution in the CaO-Al 2 O 3 -SiO 2 silicate. 32 The time-dependent phase-field variables are calculated by a set of partial differential equations.…”

Section: Introductionmentioning

confidence: 99%

“…It is recognized that PFM is mostly used for the metallic materials and has not been completely extended to oxide systems. Based on authors' best knowledge, only Liu et al 20 used the PFM model developed by Heulens et al 33 to study the alumina dissolution in the CaO-Al 2 O 3 -SiO 2 silicate. However, due to the restriction of the diffuse interface width and the diffusion equations, the simulated size of the alumina inclusion and the dissolution time are much smaller (0.2 × 0.2 µm) and shorter (>0.005 seconds) than those of realistic inclusions.…”

Section: Introductionmentioning

confidence: 99%

A phase‐field model for the study of isothermal dissolution behavior of alumina particles into molten silicates

Xuan¹,

2019

J Am Ceram Soc

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Particle dissolution process refers to the dissolving of one liquid or solid phase into another solvent phase. This process is of vital importance in the engineering material science, and chemical engineering, etc. Here, we develop a phase‐field model with diffusion‐controlled processes at interfaces for isothermal dissolution of alumina inclusion particles in molten silicates, referred as “slag,” with comprehensive compositions applied in process metallurgy. The interfacial energy between solid inclusion particle and molten silicate can vary with different temperatures and chemical compositions. This model is validated using experimental data of high‐temperature confocal laser scanning microscopy (HT‐CLSM) technique. Moreover, the developed model is applicable to predict the dissolution behavior of solid particle in a realistic size scale. The possibility of the model application is illustrated with studies of different physical parameters that affect particle dissolution behavior. The phase‐field simulations show that inclusion morphology influences both the dissolution profile and time, and the influence decreases with the increased temperature. Increasing same amount of Al2O3 component in slag, the increased degrees of the alumina dissolution time in silicates with different V‐ratio values, a ratio between the mass percent of CaO and that of SiO2, are almost the same. If the V‐ratio of slag is relatively small, an increased MgO component in the silicate will significantly decrease the particle dissolution time. On the contrary, the change in MgO component in the silicate will have a minor effect if the value of V‐ratio is quite large. In order to rapidly dissolve the inclusion, basicity index (BI) of molten silicate should be larger than 1.4. A balance between BI and MgO component in slag is suggested to be considered to design or optimize molten silicate (slag) for its application in the refining process of steel manufacturing.

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A phase field model for isothermal crystallization of oxide melts

Cited by 45 publications

References 25 publications

Phase field modelling of the attachment of metallic droplets to solid particles in liquid slags: Influence of interfacial energies and slag supersaturation

Phase field modelling of the attachment of metallic droplets to solid particles in liquid slags: Influence of interfacial energies and slag supersaturation

Anisotropy function of kinetic coefficient for phase-field simulations: Reproduction of kinetic Wulff shape with arbitrary face angles

A phase‐field model for the study of isothermal dissolution behavior of alumina particles into molten silicates

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