Dynamical Theory of Dendritic Growth in Convective Flow

• Main Author: Xu, Jian-Jun. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston, MA : Springer US, 2004.
• Series: Advances in Mechanics and Mathematics ; 7
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Condensed matter.; Materials science.; Applications of Mathematics.; Characterization and Evaluation of Materials.; Mathematical Modeling and Industrial Mathematics.; Condensed Matter Physics.
• Online Access: View fulltext via EzAccess

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 fie...

Table of Contents:

• 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.