Three-dimensional phase-field simulations of the effect of convection on free dendritic growth

Y LU; C Beckermann; J C Ramirez

doi:10.1016/j.jcrysgro.2005.03.063

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Three-dimensional phase-field simulations of the effect of convection on free dendritic growth

Journal article

Peer reviewed

Three-dimensional phase-field simulations of the effect of convection on free dendritic growth

Y LU, C Beckermann and J C Ramirez

Journal of crystal growth, Vol.280(1-2), pp.320-334

2005

DOI: 10.1016/j.jcrysgro.2005.03.063

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Abstract

Three-dimensional free dendritic growth of a pure material into an undercooled melt in the presence of fluid flow is investigated numerically using the phase-field method. Such computations are made possible by solving the Navier–Stokes equations for the flow and the energy equation for the heat transport on a grid that is twice as coarse as the grid for the phase-field equation. The effect of the flow on the upstream growing dendrite tip velocity and radius of curvature is investigated as a function of the imposed flow velocity, undercooling, crystalline anisotropy, and Prandtl number. The results are compared to available theories of dendritic growth with and without convection. The predicted growth Péclet numbers as a function of the flow Péclet number are in reasonable agreement with the theoretical predictions. The dendrite tip selection parameter is essentially independent of the flow velocity within the range studied, which is also in accordance with theory. The three-dimensional dendrite tip shape is found to be well fitted by the same universal scaling relation as without flow.

Fluid Dynamics

Materials Science

Physics

Fundamental areas of phenomenology (including applications)

Turbulent flows, convection, and heat transfer

Exact sciences and technology

Convection and heat transfer

Phase diagrams and microstructures developed by solidification and solid-solid phase transformations

Cross-disciplinary physics: materials science; rheology

Solidification

Details

Title: Subtitle: Three-dimensional phase-field simulations of the effect of convection on free dendritic growth
Creators: Y LU - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
C Beckermann - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
J C Ramirez - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
Resource Type: Journal article
Publication Details: Journal of crystal growth, Vol.280(1-2), pp.320-334
DOI: 10.1016/j.jcrysgro.2005.03.063
ISSN: 0022-0248
eISSN: 1873-5002
Publisher: Elsevier; Amsterdam
Language: English
Date published: 2005
Academic Unit: Mechanical Engineering
Record Identifier: 9984064202602771

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