Dynamical Theory of Dendritic Growth in Convective Flow

Jian-Jun Xu (Autor)

Buch | Softcover

256 Seiten

2010 | Softcover reprint of hardcover 2nd ed. 2004
Springer-Verlag New York Inc.
978-1-4419-5453-4 (ISBN)

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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.

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.

Reihe/Serie	Advances in Mechanics and Mathematics ; 7
Zusatzinfo	256 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Maschinenbau
ISBN-10	1-4419-5453-8 / 1441954538
ISBN-13	978-1-4419-5453-4 / 9781441954534
Zustand	Neuware