U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Search Publications by:

Search Title, Abstract, Conference, Citation, Keyword or Author
Displaying 126 - 150 of 193

Separation of Scales for Growth of an Alloy Needle Crystal

October 1, 2001
Author(s)
R F. Sekerka, Sam R. Coriell, Geoffrey B. McFadden
We reexamine the problem of a needle crystal (a model for a dendrite primary stalk) having the shape of a paraboloid of revolution growing at constant velocity from a supercooled binary alloy with given bulk concentration and far-field temperature. The

A Phase-Field Model With Convection: Sharp-Interface Asymptotics

May 1, 2001
Author(s)
D M. Anderson, Geoffrey B. McFadden, A A. Wheeler
We have previously developed a phase-field model of solidification that includes convection in the melt. This model represents the two phases as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid phase. The object

Effect of Flow Due to Density Change on Eutectic Growth

April 1, 2001
Author(s)
Sam R. Coriell, Geoffrey B. McFadden, William F. Mitchell, B T. Murray, J B. Andrews, Y B. Arikawa
The Jackson-Hunt model of eutectic growth is extended to allow for different densities of the phases. The density differences give rise to fluid flow which is calculated from a series solution of the fluid flow equations in the Stokes flow approximation

A Phase-Field Model for Highly Anisotropic Interfacial Energy

March 1, 2001
Author(s)
J J. Eggleston, Geoffrey B. McFadden, P W. Voorhees
A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method

On the Gibbs Adsorption Equation for Diffuse Interface Models

March 1, 2001
Author(s)
Geoffrey B. McFadden, A A. Wheeler
In this paper we discuss some applications of the classical Gibbs adsorption equations to specific diffuse interface models that are based on conserved and non-conserved order parameters. Such models are natural examples of the general methodology

A Phase-Field Model for High Anisotropic InterfaciEnergy

January 1, 2001
Author(s)
Geoffrey B. McFadden, J J. Eggleston, P W. Voorhees
A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method

A Phase-Field Model With Convection: Numerical Simulations

December 1, 2000
Author(s)
D M. Anderson, Geoffrey B. McFadden, A A. Wheeler
In a previously developed phase-field model of solidification that includes convection in the melt, the two phases are represented as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid phase. In this paper we report

Morphological Stability of a Binary Alloy: Temperature-Dependent Diffusivity

November 1, 2000
Author(s)
Sam R. Coriell, Geoffrey B. McFadden, S R. Vanaerenbergh
The effect of the temperature dependence of the diffusion coefficient on the morphological stability of a binary alloy during directional solidification is treated by a linear stability analysis. The Soret effect is also included in the analysis. Specific

The Effect of Oscillatory Shear Flow on Step Bunching

September 1, 2000
Author(s)
B T. Murray, Sam R. Coriell, A A. Chernov, Geoffrey B. McFadden
During crystal growth, an imposed shear flow at the crystal-fluid interface can impact the conditions for the onset of morphological instability. In previous work, we studied the effect of time-independent shear flows and anisotropic interface kinetics on

Effect of Surface Free Energy Anisotropy on Dendrite Tip Shape

July 1, 2000
Author(s)
Geoffrey B. McFadden, Sam R. Coriell, R F. Sekerka
In previous work, we found approximate solutions for paraboloids having perturbations with four-fold axial symmetry in order to model dendritic growth in cubic materials. These solutions provide self-consistent corrections through second order in a shape

Microsegregation in Peltier Interface Demarcation

July 1, 2000
Author(s)
Y Dabo, H N. Thi, Sam R. Coriell, Geoffrey B. McFadden, Q Li, B Billia
Experimental results on solute microsegregation induced by Peltier Interface Demarcation (PID) technique during directional solidification of Bi-1 wt % Sb alloys are presented. These data are compared with the results of numerical simulation and the theory
Was this page helpful?