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PCC99, Phase Change with Convection: modelling and validation
June 24-26, 1999
European Science Foundation, Applied Mathematics for Industrial Flow Problems
Warsaw, Poland

Organizers
Tomasz Kowalewski, Fulvio Stella, Jerzy Banaszek, Janusz Szmyd

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Phase-Field Simulations of Solidification with Convection
by
Christoph Beckermann
University of Iowa, Department of Mechanical Engineering
Coauthors: X. Tong (University of Iowa), A. Karma (Northeastern University)

A phase-field method is presented for modeling of dendritic solidification of a pure substance with convection in the melt. The method includes a novel distributed momentum sink term in the Navier-Stokes equations to model the interfacial drag in the diffuse interface region. The method is validatd for several limiting cases involving flow in regions of complex structure and steady dendrite tip growth into an infinite quiescent melt. Results are presented for the growth of a single equiaxed dendrite in the presence of various external flows. The dendrite tip operating state selection in the presence of flow and the development of thermal noise-induced sidebranching in the presence of flow are analyzed in detail.

Solidification Laboratory at UI

Date received: February 11, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caco-03.