Phase field model for three-dimensional dendritic growth with fluid flow

JH Jeong, N Goldenfeld, JA Dantzig - Physical Review E, 2001 - APS
We study the effect of fluid flow on three-dimensional (3D) dendrite growth using a phase-
field model on an adaptive finite-element grid. In order to simulate 3D fluid flow, we use an …

Dendritic growth of randomly oriented nuclei in a shear flow

R Tönhardt, G Amberg - Journal of Crystal Growth, 2000 - Elsevier
A numerical study of the effect of an external mean flow on dendritic growth has been
performed. All simulations are 2D phase-field computations using an adaptive finite element …

Transverse solidification textures in hexagonal close-packed alloys

MI Bergman, S Agrawal, M Carter… - Journal of crystal …, 2003 - Elsevier
Previous studies on directionally solidified hexagonal close-packed (hcp) sea ice have
found that the c-axis orient parallel to a shear fluid flow that is driven external to the solute …

The interactive dynamics of flow and directional solidification in a Hele-Shaw cell Part 1. Experimental investigation of parallel shear flow

M Zhang, T Maxworthy - Journal of Fluid Mechanics, 2002 - cambridge.org
It is recognized that flow in the melt can have a profound influence on the dynamics of a
solidifying interface and hence on the quality of the solidified material. To better understand …

Dynamics and instability of triple junctions of solidifying eutectics: flow-modified morphologies

YJ Chen, SH Davis - Acta materialia, 2002 - Elsevier
Fluid motions impressed upon a eutectic crystal front during directional solidification result in
an increase of the lamellar spacing. This flow-induced change of microstructures is analyzed …

A study of the effect of a unidirectional bulk flow on the structure of selected aluminum copper alloys

LL Rishel - 1993 - search.proquest.com
A controlled flow experiment was developed to evaluate solidification phenomena in
aluminum-0.1, 2.5, and 4.5 wt.% copper alloys. The apparatus was designed to investigate …

Fluid flow and microstructure development

JA Dantzig, LS Chao - F. Weinberg International Symposium on …, 1990 - books.google.com
Metal and semiconductor manufacturing represents an important and highly contested
fraction of the United States economy. The typical production route for these materials …

Three dimensional phase field modeling of binary eutectics

DJ Lewis, WJ Boettinger, JA Warren - 2003 - nist.gov
A multi-phase field model was used to study the three-dimensional dynamics of morphology
evolution in binary eutectics. Performing the calculations in three dimensions enables the …

The interactive dynamics of flow and directional solidification in a Hele-Shaw cell Part 2. Stability analysis and nonlinear simulations

SS Buddhavarapu, E Meiburg - Journal of Fluid Mechanics, 2002 - cambridge.org
A linear stability analysis as well as nonlinear simulations are performed in order to analyse
the coupling between the directional solidification of a binary alloy and the flow in its melt …

Microscale Coupling of Solidification and Flow

SH Davis - Interactive Dynamics of Convection and Solidification, 2012 - Springer
Morphological instability is discussed via linear and nonlinear theories. Couplings with
forced flows and convecting melts are discussed in terms of physical mechanisms and …