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Displaying 76 - 100 of 193

Phase-Field Modeling of Solidification Under Stress

January 2, 2006
Author(s)
Julia Slutsker, K Thornton, Alexander Roytburd, James A. Warren, Geoffrey B. McFadden, P W. Voorhees
A phase-field model that includes the stress field during non-isothermal phase transformation of a single-vomponent system has been developed. The model has been applied to the solidification and melting of confined spherical volumes, where sharp interface

Phase-Field Modeling of Solidification under Stress

January 1, 2006
Author(s)
J Slutsker, K Thornton, Alexander Roytburd, A Warren, Geoffrey B. McFadden, P W. Voorhees
Effective visualizations can help researchers obtain a more complete understanding of high-level mathematical functions that arise in mathematics, statistics, physics, fluid dynamics and other fields of the mathematical and physical sciences. Accordingly

Linear Stability of Cylindrical Couette Flow in the Convection Regime

October 1, 2005
Author(s)
M E. Ali, Geoffrey B. McFadden
Instability of steady circular Couette flow with radial heating across a vertically oriented annulus with inner cylinder rotating and outer cylinder stationary is investigated using linear stability analysis. The convection regime base flow is developed

Lateral Deformation of Diffusion Couples

April 1, 2005
Author(s)
William J. Boettinger, Geoffrey B. McFadden, Sam R. Coriell, R F. Sekerka, James A. Warren
A model is proposed to describe the shape change (displacement field) of a binary diffusion couple when the intrinsic (lattice) diffusivities of the two substitutional atomic species differ. As for the Kirkendall effect, the displacement is due the

Phase Field Modeling of Solidification Under Stress

July 1, 2004
Author(s)
Julia Slutsker, Alexander L. Roytburd, James A. Warren, Geoffrey B. McFadden, William J. Boettinger
A phase-field model that includes stress field during non-isothermal solidification of a one-component system has been developed. The model has been applied to solidification and melting of confined spherical volumes. It has been shown that at some

Phase-Field Modeling for Eutectic Solidification

April 1, 2004
Author(s)
Jonathan E. Guyer, William J. Boettinger, James A. Warren, Geoffrey B. McFadden
A diffuse interface (phase field) model for a simple electrochemical system is developed. We describe the minimal set of components needed to model an electrochemical interface and present a Lagrangian derivation of te governing equations. With a simple

Centrifugal Buoyancy Effects on the Linear Stability of Sprial Poiseuille Flow

February 1, 2004
Author(s)
David Cotrell, Geoffrey B. McFadden
For fluid flow in an annulus driven by the combination of an axial pressure gradient, rotation of the inner and outer cylinders, and a radial temperature gradient (spiral Poiseuille flow with a radial temperature gradient), we are investigating the

Phase Field Modeling of Electrochemistry. I. Equilibrium

February 1, 2004
Author(s)
Jonathan E. Guyer, William J. Boettinger, James A. Warren, Geoffrey B. McFadden
A diffuse interface (phase field) model for an electrochemical system is developed. We describe the minimal set of components needed to model an electrochemical interface and present a variational derivation of the governing equations. With a simple set of
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