Name: Dynamical Theory of Dendritic Growth in Convective Flow
ISBN: 978-1-4757-3709-7

Authors:

Jian-Jun Xu ⁰

Jian-Jun Xu
1. Department of Mathematics and Statistics, McGill University, Montreal, Canada
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Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 7)

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Table of contents (10 chapters)

Front Matter

Pages i-xii

PDF
Introduction
- Jian-Jun Xu
Pages 1-9
Interfacial Wave Theory of Dendritic Growth from Pure Melt with No Convection
- Jian-Jun Xu
Pages 11-62
Steady Dendritic Growth from Melt with Convective Flow
- Jian-Jun Xu
Pages 63-67
Steady Viscous Flow Past a Paraboloid of Revolution
- Jian-Jun Xu
Pages 69-111
Asymptotic Solution of Dendritic Growth in External Flow (I): The Case of Rapid Growth U ≫ U _∞
- Jian-Jun Xu
Pages 113-129
Asymptotic Solution of Dendritic Growth in External Flow (II): The Case of PR → ∞
- Jian-Jun Xu
Pages 131-155
Steady Dendritic Growth with Natural Convection (I): The Case of PR = O(1) and Ḡ ≪ 1
- Jian-Jun Xu
Pages 157-176
Steady Dendritic Growth with Natural Convection (II): The Case of PR ≫ 1 and Ḡ = O(1)
- Jian-Jun Xu
Pages 177-195
Stability and Selection of Dendritic Growth with Convective Flow
- Jian-Jun Xu
Pages 197-231
Concluding Remark
- Jian-Jun Xu
Pages 233-233
Back Matter

Pages 235-240

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About this book

Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach in the framework of the interfacial wave (IFW) theory. In particular, the book explores the effect of the various types of convection flow on the selection and pattern formation of dendritic growth based on the global stability analysis.

Keywords

Authors and Affiliations

Department of Mathematics and Statistics, McGill University, Montreal, Canada

Jian-Jun Xu

Bibliographic Information

Book Title: Dynamical Theory of Dendritic Growth in Convective Flow
Authors: Jian-Jun Xu
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-1-4757-3709-7
Publisher: Springer New York, NY
eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2003
eBook ISBN: 978-1-4757-3709-7Published: 17 April 2013
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XII, 240
Number of Illustrations: 37 b/w illustrations
Topics: Applications of Mathematics, Characterization and Evaluation of Materials, Mathematical Modeling and Industrial Mathematics, Condensed Matter Physics

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Table of contents (10 chapters)

Front Matter

Back Matter

About this book

Keywords

Authors and Affiliations

Department of Mathematics and Statistics, McGill University, Montreal, Canada

Bibliographic Information

Publish with us

Buy it now

Buying options

Other ways to access

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