Dynamical Theory of Dendritic Growth in Convective Flow
By: by Jian-Jun Xu
Series: Advances in Mechanics and Mathematics -- 7; Advances in mechanics and mathematics -- 7.
Publisher: Springer US
Published: 2003
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 240
ISBN-13: 9781475737110; 9781475737097
Subjects: Mathematics; Surfaces (Physics)
Description: 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.
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Table of contents: title: Preface; title: 1: Introduction; title: 2: Interfacial Wave Theory of Dendritic Growth with No Convection; title: 3: Steady Dendritic Growth from Melt with Convective Flow; title: 4: Steady Viscous Flow Past a Slender Paraboloid of Revolution; title: 5: Asymptotic Solution of Dendritic Growth in External Flow (I); title: 6: Asymptotic Solution of Dendritic Growth in External Flow (II); title: 7: Steady Dendritic Growth with Natural Convection (I); title: 8: Steady Dendritic Growth with Natural Convection (II); title: 9: Stability and Selection of Dendritic Growth with Convective Flow; title: 10: Concluding Remark; title: References.