Dynamical Theory of Dendritic Growth in Convective Flow

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...

Full description

Bibliographic Details
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:
Online Access:View fulltext via EzAccess
LEADER 03215nam a22005175i 4500
001 23770
003 DE-He213
005 20151204171131.0
007 cr nn 008mamaa
008 100301s2004 xxu| s |||| 0|eng d
020 # # |a 9781402079252  |9 978-1-4020-7925-2 
024 7 # |a 10.1007/b130342  |2 doi 
050 # 4 |a T57-57.97 
072 # 7 |a PBW  |2 bicssc 
072 # 7 |a MAT003000  |2 bisacsh 
082 0 4 |a 519  |2 23 
100 1 # |a Xu, Jian-Jun.  |e author. 
245 1 0 |a Dynamical Theory of Dendritic Growth in Convective Flow  |c by Jian-Jun Xu.  |h [electronic resource] / 
264 # 1 |a Boston, MA :  |b Springer US,  |c 2004. 
300 # # |a 256 p.  |b online resource. 
336 # # |a text  |b txt  |2 rdacontent 
337 # # |a computer  |b c  |2 rdamedia 
338 # # |a online resource  |b cr  |2 rdacarrier 
347 # # |a text file  |b PDF  |2 rda 
490 1 # |a Advances in Mechanics and Mathematics ;  |v 7 
505 0 # |a 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. 
520 # # |a 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. 
650 # 0 |a Mathematics. 
650 # 0 |a Applied mathematics. 
650 # 0 |a Engineering mathematics. 
650 # 0 |a Mathematical models. 
650 # 0 |a Condensed matter. 
650 # 0 |a Materials science. 
650 1 4 |a Mathematics. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Characterization and Evaluation of Materials. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
650 2 4 |a Condensed Matter Physics. 
710 2 # |a SpringerLink (Online service) 
773 0 # |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781402079245 
830 # 0 |a Advances in Mechanics and Mathematics ;  |v 7 
856 4 0 |u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b130342  |z View fulltext via EzAccess 
912 # # |a ZDB-2-SMA 
912 # # |a ZDB-2-BAE 
950 # # |a Mathematics and Statistics (Springer-11649)