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Instabilities and Self-Organization in MaterialsVolume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology$
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Nasr Ghoniem and Daniel Walgraef

Print publication date: 2008

Print ISBN-13: 9780199298686

Published to Oxford Scholarship Online: May 2008

DOI: 10.1093/acprof:oso/9780199298686.001.0001

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SOLIDIFICATION AND ELECTRO-DEPOSITION

SOLIDIFICATION AND ELECTRO-DEPOSITION

Chapter:
(p.1018) 18 SOLIDIFICATION AND ELECTRO-DEPOSITION
Source:
Instabilities and Self-Organization in Materials
Author(s):

Nasr M. Ghoniem

Daniel D. Walgraef

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199298686.003.0018

This chapter examines the morphological instabilities of interfaces between the liquid and solid phases as the phase transformation process is completed. It first presents the problem of melting and solidification, in which the classical ‘Stefan problem’ is introduced as a fundamental model upon which melting and solidification studies are based. It then discusses some general aspects of phase change in pure, single-species systems. The attractiveness of the Stefan problem stems from the fact that the model is amenable to analytical solutions, and as such, it furnishes the physical understanding of more complex analysis of coupled heat and mass transport in a binary system. It also leads to the analysis of morphological surface instabilities and dendrite formation. The emergence of interfacial morphological instabilities in electro-chemical deposition is studied, exposing the rich variety of interfacial structures that arise in this case.

Keywords:   heat transfer, melting, solidification, Stefan problem, binary alloys, dendrite growth, electro-deposition

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