Interfacial wave theory of pattern formation in solidification : dendrites, fingers, cells and free boundaries / Jian-Jun Xu.
Xu, Jian-Jun, 1940- author.
2017
Q172.5.C45
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Title Interfacial wave theory of pattern formation in solidification : dendrites, fingers, cells and free boundaries / Jian-Jun Xu.
Author Xu, Jian-Jun, 1940- author.
Edition Second edition.
ISBN 9783319526638 (electronic book)
3319526634 (electronic book)
9783319526621
3319526626
9783319526621
DOI https://doi.org/10.1007/978-3-319-52663-8
Published Cham, Switzerland : Springer, [2017]
Language English
Description 1 online resource (xx, 591 pages) : illustrations.
Item Number 10.1007/978-3-319-52663-8 doi
Call Number Q172.5.C45
Dewey Decimal Classification 500.201/185
Summary This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed June 5, 2017).
Series Springer complexity.
Springer series in synergetics.
Available in Other Form Interfacial Wave Theory of Pattern Formation in Solidification : Dendrites, Fingers, Cells and Free Boundaries.
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Introduction
Unidirectional Solidification and the Mullins-sekkerka instability
Mathematical formulation of free dendrite growth from a pure melt
Basic steady state of axi-symmetric free dendritic growth
The steady state for dendritic growth with nonzero surface tension
Global interfacial wave instability of dendrite growth from a pure melt
Two dimensional dendritic growth
Three dimensional dendritic growth from undercooled binary mixture
Viscous fingering in a hele-shaw cell
Spatially-periodic deep-cellular growth in hele-shaw cell
Steady lamellar eutectic growth.

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