Dynamical Theory of Dendritic Growth in Convective Flow

Jian-Jun Xu (auth.)9781402079252, 1402079257, 1402079249

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 :

Content:
Front Matter….Pages i-xii
Introduction….Pages 1-9
Interfacial Wave Theory of Dendritic Growth from Pure Melt with No Convection….Pages 11-62
Steady Dendritic Growth from Melt with Convective Flow….Pages 63-67
Steady Viscous Flow Past a Paraboloid of Revolution….Pages 69-111
Asymptotic Solution of Dendritic Growth in External Flow (I): The Case of Rapid Growth U ≫ U ∞ ….Pages 113-129
Asymptotic Solution of Dendritic Growth in External Flow (II): The Case of PR → ∞….Pages 131-155
Steady Dendritic Growth with Natural Convection (I): The Case of PR = O(1) and � ≪ 1….Pages 157-176
Steady Dendritic Growth with Natural Convection (II): The Case of PR ≫ 1 and � = O(1)….Pages 177-195
Stability and Selection of Dendritic Growth with Convective Flow….Pages 197-231
Concluding Remark….Pages 233-233
Back Matter….Pages 235-240