Packing dynamics of spherical and nonconvex grains sedimenting at low Stokes number

Olmedilla, Antonio; Založnik, Miha; Messmer, Thomas; Rouat, Bernard; Combeau, Hervé

doi:10.1103/physreve.99.012907

Cited by 3 publications

(1 citation statement)

References 29 publications

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“…It is widely accepted that the packing fraction limit for the grain phase is = 0.637 [4,22,28] , which is an approximation of the closest packing fraction of randomly arranged monodisperse spheres. For solid fraction, the limit is lower and accepted to be in the range s = 0.1~0.5, [24,29,30] . A more complex morphology of the solid dendrites makes them easier to form a packed structure.…”

Section: Grain Packing Methodsmentioning

confidence: 99%

Effect of Diffusion Length in Modeling of Equiaxed Dendritic Solidification under Buoyancy Flow in a Configuration of Hebditch–Hunt Experiment

Wang

Semenov

Wang

et al. 2019

Metall Mater Trans B

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Modeling of equiaxed solidification is vital for understanding the solidification process of metallic alloys. In this work, an extended literature review is given for the models currently used for equiaxed solidification simulations. Based on this analysis, we present a three-phase multiscale equiaxed solidification model in which some approximations regarding solute transport at microscopic scale are put together in a new way and incorporated into macroscopic transport equations. For the latter, a term relating to the momentum exchange between the two phases is revised, and a modification for the grain packing algorithm is proposed. A modernized model for equiaxed dendrite growth is tested using a case of solidification of Sn-5wt.%Pb alloy in a parallelepiped cavity that mimics the Hebditch-Hunt experiment. The results obtained using two approaches to calculate diffusion length are presented and compared both with each other and with numerical results from elsewhere. It is demonstrated that diffusion length has a crucial effect on the final segregation pattern.

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Section: Grain Packing Methodsmentioning

confidence: 99%

Effect of Diffusion Length in Modeling of Equiaxed Dendritic Solidification under Buoyancy Flow in a Configuration of Hebditch–Hunt Experiment

Wang

Semenov

Wang

et al. 2019

Metall Mater Trans B

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show abstract

Modelling melting and grain destruction phenomena during globular equiaxed solidification

Zhang

Schumacher

et al. 2021

Applied Mathematical Modelling

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Comparison of two-phase and three-phase macroscopic models of equiaxed grain growth in solidification of binary alloy with electromagnetic stirring

Wang

Semenov

Wang

et al. 2020

IOP Conf. Ser.: Mater. Sci. Eng.

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Simulations of equiaxed solidification using two-phase and three-phase models are performed for the experimental benchmark AFRODITE with electromagnetic stirring. A three-phase model presented by authors elsewhere accounts for solid phase, inter- and extradendritic liquid phases. With respect to that model, the two-phase approach can be considered as reduced or simplified, yet, this implies also less number of assumptions regarding closure relations. In simulations, as expected, final segregation obtained with two–phase model is stronger, yet, it is qualitatively similar to the segregation pattern obtained with three-phase model.

show abstract

Packing dynamics of spherical and nonconvex grains sedimenting at low Stokes number

Cited by 3 publications

References 29 publications

Effect of Diffusion Length in Modeling of Equiaxed Dendritic Solidification under Buoyancy Flow in a Configuration of Hebditch–Hunt Experiment

Effect of Diffusion Length in Modeling of Equiaxed Dendritic Solidification under Buoyancy Flow in a Configuration of Hebditch–Hunt Experiment

Modelling melting and grain destruction phenomena during globular equiaxed solidification

Comparison of two-phase and three-phase macroscopic models of equiaxed grain growth in solidification of binary alloy with electromagnetic stirring

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