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Dynamical Theory of Dendritic Growth in Convective Flow
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Dynamical Theory of Dendritic Growth in Convective Flow ([EBook] /) / by Jian-Jun Xu.
Author
Xu, Jian-Jun
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US, , 2004.
Physical Details
256 p. : online resource.
Series
Advances in Mechanics and Mathematics
; 7
ISBN
9781402079252
Summary Note
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.:
Contents note
Interfacial Wave Theory of Dendritic Growth from Pure Melt with no Convection -- Steady Dendritic Growth from Melt with Convective Flow -- Steady Viscous Flow Past a Paraboloid of Revolution -- Asymptotic Solution of Dendritic Growth in External Flow (I): The Case of Rapid Growth U?U? -- Asymptotic Solution of Dendritic Growth in External Flow (II): The Case of Pr ? ? -- Steady Dendritic Growth with Natural Convection (I): The Case of Pr= O(1) and ¯G ?1 -- Steady Dendritic Growth with Natural Convection (II): The Case of Pr ?1 and ¯G= O(1) -- Stability and Selection of Dendritic Growth with Convective Flow -- Concluding Remark.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b130342
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Characterization and Evaluation of Materials
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Condensed matter
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Condensed Matter Physics
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Engineering mathematics
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Materials science
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Mathematics
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Authors:
Xu, Jian-Jun
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Corporate Authors:
SpringerLink (Online service)
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Series:
Advances in Mechanics and Mathematics
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Classification:
519
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