Simulation of convection and ripening in a binary alloy mush using the phase-field method

H.-J Diepers; C Beckermann; I Steinbach

doi:10.1016/S1359-6454(99)00239-6

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Simulation of convection and ripening in a binary alloy mush using the phase-field method

Journal article

Open access

Peer reviewed

Simulation of convection and ripening in a binary alloy mush using the phase-field method

H.-J Diepers, C Beckermann and I Steinbach

Acta materialia, Vol.47(13), pp.3663-3678

1999

DOI: 10.1016/S1359-6454(99)00239-6

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Abstract

Two-dimensional Ostwald ripening of an Al–4% Cu alloy solid/liquid mush in the presence of melt convection, and the influence of ripening on the flow, is studied numerically using a recent extension of the phase-field method that accounts for flow in the liquid phase. Through a parametric study, the ripening kinetics are investigated and compared for cases with and without melt convection. The cases without convection show good agreement with available coarsening theories for a finite fraction of solid. In the cases with flow the mean radius of the solid particles increases at a faster rate than without convection. The ripening exponent changes from 1/3 to 1/2, while the rate constant depends on the fraction of solid. Comparisons are made with the convective ripening theory of Ratke and Thieringer. Although the present analysis of coarsening is hampered by the limited number of particles in the domain, some qualitative results are presented for the effect of convection on the particle radius distribution. Finally, the present simulations allow for a determination of the permeability of the mush as a function of the fraction of solid, and the dependence of the permeability on the ripening kinetics is shown to be scalable using the specific surface area or the mean radius.

Ripening

Casting

Theory and modeling, kinetics, transport, diffusion

Alloys, aluminum

Microstructure

Details

Title: Subtitle: Simulation of convection and ripening in a binary alloy mush using the phase-field method
Creators: H.-J Diepers - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USA
C Beckermann - Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242, USA
I Steinbach - ACCESS e.V., Intzestraße 5, 52056 Aachen, Germany
Resource Type: Journal article
Publication Details: Acta materialia, Vol.47(13), pp.3663-3678
DOI: 10.1016/S1359-6454(99)00239-6
ISSN: 1359-6454
eISSN: 1873-2453
Publisher: Elsevier Ltd
Language: English
Date published: 1999
Academic Unit: Mechanical Engineering
Record Identifier: 9984064107502771

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