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AuthorXu, Jian-Jun. author
TitleDynamical Theory of Dendritic Growth in Convective Flow [electronic resource] / by Jian-Jun Xu
ImprintBoston, MA : Springer US, 2004
Connect tohttp://dx.doi.org/10.1007/b130342
Descript 256 p. online resource

SUMMARY

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


CONTENT

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 ยฏG ?1 -- Steady Dendritic Growth with Natural Convection (II): The Case of Pr ?1 and ยฏG= O(1) -- Stability and Selection of Dendritic Growth with Convective Flow -- Concluding Remark


Mathematics Applied mathematics Engineering mathematics Mathematical models Condensed matter Materials science Mathematics Applications of Mathematics Characterization and Evaluation of Materials Mathematical Modeling and Industrial Mathematics Condensed Matter Physics



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