Tuesday, May 13

10:30 AM-12:10 PM
Gilbert Stuart Room

Mathematical Modeling of Complex Solidification

The classical Stefan problem is an idealized mathematical model of the solidification of a pure material. In practical applications, the solidified phase is often a multi-component material that solidifies under extreme conditions lying outside the realm of conventional thermodynamic equilibrium descriptions. Examples include the effects of convection in the liquid phase, the effects of nonequilibrium interfacial attachment kinetics, and the importance of metastable bulk phases during processing.

To describe these situations, a variety of numerical and analytical techniques have been developed and applied to increasingly complex models of materials processing. In this session, the speakers will describe recent work that is motivated by both fundamental and applied aspects of solidification theory.

Organizers: Stephen H. Davis, Northwestern University; and Geoffrey B. McFadden, National Institute of Standards and Technology

10:30-10:50 A Numerical Investigation of Steady Convection in Mushy Layers during the Solidification of Binary Alloys
Timothy P. Schulze and M. Grae Worster, University of Cambridge, United Kingdom
10:55-11:15 Large-Amplitude Solutions to the Sivashinsky and Riley-Davis Equations for Directional Solidification
Andrew J. Bernoff, David C. Sarocka, and Louis F. Rossi, Northwestern University
11:20-11:40 Modeling Issues in Plan-Flow Spin-Casting
Paul Steen, Cornell University
11:45-12:05 Premelting Dynamics: Snowballs, Powder Metallurgy and Frost Heave
J. S. Wettlaufer, University of Washington

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MMD, 12/17/96