Experimental observation of oscillatory cellular patterns in three-dimensional directional solidification

Pereda, Jorge; Mota, F.L.; Chen, Lin; Billia, B.; Tourret, Damien; Song, Younggil; Debierre, Jean–Marc; Guerin, R.; Trivedi, R.; Bergeon, N.

doi:10.1103/physreve.95.012803

Cited by 20 publications

(60 citation statements)

References 50 publications

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“…This model was extended later to the case of a dilute binary alloy [28,29]. Recently, direct comparisons of the TIPM with 3D experiments of alloy solidification performed in confined samples [19,20] and in extended ones [8][9][10] became feasible, and quantitative agreement was found in each case.…”

Section: Phase-fieldmentioning

confidence: 98%

“…For a given numerical accuracy, this transformation allows one to use coarser numerical grids, which significantly reduces the numerical effort [32]. Graphics Processing Unit (GPU) parallel programming is used to further increase the code efficiency [8][9][10]33]. We only give the main lines of the model here.…”

Section: Phase-fieldmentioning

confidence: 99%

“…In physical, chemical or even biological systems, a canonical mechanism for the emergence of oscillatory patterns stands in the destabilization of a fixed point into a limit cycle [1,2]. In directional solidification, spectacular examples of such oscillatory growth modes are provided in either the isotropic phase of a cholesteric liquid crystal [3], eutectic alloys [4][5][6], or diluted binary alloys [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…More recently, experiments were performed under microgravity conditions in extended samples of a different succinonitrile-based alloy. They provided globally disordered arrays of oscillating cells displaying locally correlated oscillations with a π phase-shift in the case of local square ordering or a 2π/3 phase-shift in the case of local hexagonal ordering [8][9][10]. Here too, these spatiotemporal patterns refer to generic modes [2].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, numerical simulations were performed in extended systems, first by using amplitude equations [17], later by using the two-sided phase-field model for a model system [18]. Parameterizing the one-sided phase-field model with the actual physical parameters of microgravity experiments, π and 2π/3 oscillatory modes were recently recovered with oscillation periods comparable to the experimental ones [8][9][10]. This strongly suggests that quantitative numerical results could also be obtained for the 2λ−O oscillating mode.…”

Section: Introductionmentioning

confidence: 99%

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Physical mechanisms of the oscillatory 2λ -O mode in directional solidification

et al. 2018

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The 2λ−O oscillatory mode of cellular solidification patterns is studied in thin samples of a succinonitrile-acrylonitrile transparent alloy. The origin and the nature of oscillations are revisited and discussed by combining experiment with 3D phase-field numerical simulations. The existence domain of 2λ−O oscillations and the evolution of their period with growth velocity are determined and compared. Simulations evidence transversal solute fluxes between neighbor cells as an essential feature of cell dynamics. A solute balance model in which transversal fluxes are crucial for oscillations recovers the emergence of a 2λ−O mode and its period-velocity relationship. It thus confirms the fundamental role of transversal fluxes and provides a complete coherent description of the physical mechanisms of 2λ−O oscillations. Parametric excitations are finally used to force 2λ−O oscillations beyond their stability domain and highlight the nature of the underlying oscillator, especially its non-linearity responsible for intermittent oscillations and complex behavior in the resonance band.

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Section: Phase-fieldmentioning

confidence: 98%

Section: Phase-fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Physical mechanisms of the oscillatory 2λ -O mode in directional solidification

et al. 2018

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Convection Effects During Bulk Transparent Alloy Solidification in DECLIC-DSI and Phase-Field Simulations in Diffusive Conditions

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Song

Pereda

et al. 2017

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Thermal-field effects on interface dynamics and microstructure selection during alloy directional solidification

et al. 2018

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We carry out three-dimensional phase-field simulations to model unique experimental observations of cellular and dendritic solidification structures formed under diffusive growth conditions in the DSI (Directional Solidification Insert) of the DECLIC (DEvice for the study of Critical LIquids and Crystallization) aboard the International Space Station. We had previously shown experimentally that complex thermal conditions affect the stationary position of the solid-liquid interface, as well as its dynamics of relaxation towards this stationary position over a finite time after the onset of sample pulling. Here, we discuss the effects of thermal diffusion within the adiabatic zone of the directional solidification setup and of latent heat release at the solid-liquid interface by means of quantitative phase-field simulations. Simulations and experiments characterize the entire evolution of the primary spacing of cellular/dendritic array structures from the onset of morphological instability to the establishment of the final steady-state spacing, including the transient coarsening regime associated with a sharp increase of spacing. Accounting for these thermal effects leads to a major improvement in the agreement between simulations and microgravity measurements for both the time of occurrence of morphological instability after the start of the experiment and the subsequent spacing evolution, which are not accurately predicted using the standard frozen temperature approximation.

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Experimental observation of oscillatory cellular patterns in three-dimensional directional solidification

Cited by 20 publications

References 50 publications

Physical mechanisms of the oscillatory 2λ -O mode in directional solidification

Physical mechanisms of the oscillatory 2λ -O mode in directional solidification

Convection Effects During Bulk Transparent Alloy Solidification in DECLIC-DSI and Phase-Field Simulations in Diffusive Conditions

Thermal-field effects on interface dynamics and microstructure selection during alloy directional solidification

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