Multiscale dendritic needle network model of alloy solidification with fluid flow

Tourret, Damien M; Francois, Marianne M.; Clarke, Amy Jean

doi:10.1016/j.commatsci.2019.02.031

Title: Multiscale dendritic needle network model of alloy solidification with fluid flow

Journal Article · Thu Mar 07 00:00:00 EST 2019 · Computational Materials Science

DOI:https://doi.org/10.1016/j.commatsci.2019.02.031· OSTI ID:1511240

Tourret, Damien M ^[1];

^[2]; Clarke, Amy Jean ^[3]

IMDEA materials Inst., Madrid (Spain)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Colorado School Mines, Golden, CO (United States). George S. Ansell Dept. of Metallurgical and Materials Engineering

We present a mathematical formulation of a multiscale model for solidification with convective flow in the liquid phase. The model is an extension of the dendritic needle network approach for crystal growth in a binary alloy. We propose a simple numerical implementation based on finite differences and step-wise approximations of parabolic dendritic branches of arbitrary orientation. Results of the two-dimensional model are verified against reference benchmark solutions for steady, unsteady, and buoyant flow, as well as steady-state dendritic growth in the diffusive regime. Simulations of equiaxed growth under forced flow yield dendrite tip velocities within 10% of quantitative phase-field results from the literature. Finally, we perform illustrative simulations of polycrystalline solidification using physical parameters for an aluminum-10wt% copper alloy. Resulting microstructures show notable differences when taking into account natural buoyancy in comparison to a purely diffusive transport regime. The resulting model opens new avenues for computationally and quantitatively investigating the influence of fluid flow and gravity-induced buoyancy upon the selection of dendritic microstructures. Further ongoing developments include an equivalent formulation for directional solidification conditions and the implementation of the model in three dimensions, which is critical for quantitative comparison to experimental measurements.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1511240

Report Number(s):: LA-UR-18-27555

Journal Information:: Computational Materials Science, Vol. 162; ISSN 0927-0256

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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