Flow-induced morphological instability and solidification with the slurry and mushy layers in the presence of convection

Alexandrov, Dmitri V.; Malygin, A. P.

doi:10.1016/j.ijheatmasstransfer.2012.02.048

Cited by 61 publications

(34 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An important point of the analytical approach under consideration is that it can be used now to describe similar nucleation phenomena met in metallurgy (solidification of alloys with a two-phase layer [35]), geophysics (freezing processes in terrestrial magma oceans [36] and crystallization at the inner core boundary of the Earth [37]) and applied physics (aggregate [18,38,39]). As a final note, the analytical solutions under consideration can be used for determining the initial distribution of nuclei for the concluding stage of phase transition, when there is virtually no supercooling (supersaturation).…”

Section: Discussionmentioning

confidence: 99%

Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

Alexandrov

Nizovtseva

2014

Proc. R. Soc. A.

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 99%

Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

Alexandrov

Nizovtseva

2014

Proc. R. Soc. A.

View full text Add to dashboard Cite

“…Dendritic structures control the properties of a broad range of advanced materials and arise during the different phase and structural transformation processes (ranging from materials physics to life sciences) and in many natural phenomena. For instance, crystal growth in liquids, domain evolution in ferroelectrics, lava crystallization on the outer surface and at the boundary of the Earth's inner core, freezing of sea ice in polar regions, solidification of superalloys and two-dimensional materials, crystallization of silica micelle structures and biological proteins, and the production of food, pharmaceuticals and speciality chemicals-all these processes and phenomena evolve with dendrite pattern formation [4][5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

From atomistic interfaces to dendritic patterns

Galenko

Alexandrov

2018

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

One contribution of 16 to a theme issue 'From atomistic interfaces to dendritic patterns' . Transport processes around phase interfaces, together with thermodynamic properties and kinetic phenomena, control the formation of dendritic patterns. Using the thermodynamic and kinetic data of phase interfaces obtained on the atomic scale, one can analyse the formation of a single dendrite and the growth of a dendritic ensemble. This is the result of recent progress in theoretical methods and computational algorithms calculated using powerful computer clusters. Great benefits can be attained from the development of micro-, meso-and macrolevels of analysis when investigating the dynamics of interfaces, interpreting experimental data and designing the macrostructure of samples. The review and research articles in this theme issue cover the spectrum of scales (from nano-to macro-length scales) in order to exhibit recently developing trends in the theoretical analysis and computational modelling of dendrite pattern formation. Atomistic modelling, the flow effect on interface dynamics, the transition from diffusion-limited to thermally controlled growth existing at a considerable driving force, two-phase (mushy) layer formation, the growth of eutectic dendrites, the formation of a secondary dendritic network due to coalescence, computational methods, including boundary integral and phase-field methods, and experimental tests for theoretical models-all these themes are highlighted in the present issue.This article is part of the theme issue 'From atomistic interfaces to dendritic patterns'.

show abstract

“…The self-similar solidification scenario has since been described by Worster [10] and Alexandrov and co-workers [11][12][13] for binary and ternary systems. Different analytical solutions for the steady-state crystallization conditions with a mush have also been obtained in a series of papers [14][15][16][17][18]. Some approximate analytical solutions [19][20][21][22] describing the time-dependent mushy layer evolution processes for various crystallization conditions should be mentioned as well.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of mushy layers induced by external stochastic fluctuations

Alexandrov¹,

Bashkirtseva²,

Ryashko³

2018

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

The time-dependent process of directional crystallization in the presence of a mushy layer is considered with allowance for arbitrary fluctuations in the atmospheric temperature and friction velocity. A nonlinear set of mushy layer equations and boundary conditions is solved analytically when the heat and mass fluxes at the boundary between the mushy layer and liquid phase are induced by turbulent motion in the liquid and, as a result, have the corresponding convective form. Namely, the 'solid phase-mushy layer' and 'mushy layer-liquid phase' phase transition boundaries as well as the solid fraction, temperature and concentration (salinity) distributions are found. If the atmospheric temperature and friction velocity are constant, the analytical solution takes a parametric form. In the more common case when they represent arbitrary functions of time, the analytical solution is given by means of the standard Cauchy problem. The deterministic and stochastic behaviour of the phase transition process is analysed on the basis of the obtained analytical solutions. In the case of stochastic fluctuations in the atmospheric temperature and friction velocity, the phase transition interfaces (mushy layer boundaries) move faster than in the deterministic case. A cumulative effect of these noise contributions is revealed as well. In other words, when the atmospheric temperature and friction velocity fluctuate simultaneously due to the influence of different external processes and phenomena, the phase transition boundaries move even faster. This article is part of the theme issue 'From atomistic interfaces to dendritic patterns'.This article is part of the theme issue 'From atomistic interfaces to dendritic patterns'.

show abstract

Flow-induced morphological instability and solidification with the slurry and mushy layers in the presence of convection

Cited by 61 publications

References 41 publications

Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems

From atomistic interfaces to dendritic patterns

Nonlinear dynamics of mushy layers induced by external stochastic fluctuations

Contact Info

Product

Resources

About