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Interfacial wave theory of pattern f...

Xu, Jian-Jun.

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Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Interfacial wave theory of pattern formation in solidification/ by Jian-Jun Xu.
Reminder of title:	dendrites, fingers, cells and free boundaries /
Author:	Xu, Jian-Jun.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xx, 591 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth.
Contained By:	Springer eBooks
Subject:	Pattern formation (Physical sciences) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-52663-8
ISBN:	9783319526638

Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /
Xu, Jian-Jun.

Interfacial wave theory of pattern formation in solidificationdendrites, fingers, cells and free boundaries /[electronic resource] :by Jian-Jun Xu. - 2nd ed. - Cham :Springer International Publishing :2017. - xx, 591 p. :ill., digital ;24 cm. - Springer series in synergetics,0172-7389. - Springer series in synergetics..

Introduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth.

This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.

ISBN: 9783319526638

Standard No.: 10.1007/978-3-319-52663-8doiSubjects--Topical Terms:

560754
Pattern formation (Physical sciences)

LC Class. No.: Q172.5.C45

Dewey Class. No.: 500.201185

Interfacial wave theory of pattern formation in solidification = dendrites, fingers, cells and free boundaries /
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245 1 0 $a Interfacial wave theory of pattern formation in solidification $h [electronic resource] : $b dendrites, fingers, cells and free boundaries / $c by Jian-Jun Xu.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xx, 591 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer series in synergetics, $x 0172-7389
505 0 $a Introduction -- Unidirectional Solidification and the Mullins-sekkerka instability -- Mathematical formulation of free dendrite growth from a pure melt -- Basic steady state of axi-symmetric free dendritic growth -- The steady state for dendritic growth with nonzero surface tension -- Global interfacial wave instability of dendrite growth from a pure melt -- Two dimensional dendritic growth -- Three dimensional dendritic growth from undercooled binary mixture -- Viscous fingering in a hele-shaw cell -- Spatially-periodic deep-cellular growth in hele-shaw cell -- Steady lamellar eutectic growth.
520 $a This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.
650 0 $a Pattern formation (Physical sciences) $3 560754
650 0 $a Crystalline interfaces. $3 752351
650 0 $a Solid-liquid interfaces. $3 580047
650 0 $a Liquid-liquid interfaces. $3 752353
650 0 $a Dendritic crystals. $3 752352
650 0 $a Crystal growth. $3 558794
650 0 $a Fluid dynamics. $3 545210
650 1 4 $a Physics. $3 516296
650 2 4 $a Soft and Granular Matter, Complex Fluids and Microfluidics. $3 1067106
650 2 4 $a Industrial Chemistry/Chemical Engineering. $3 890826
650 2 4 $a Surfaces and Interfaces, Thin Films. $3 892408
650 2 4 $a Applications of Nonlinear Dynamics and Chaos Theory. $3 3134772
650 2 4 $a Engineering Fluid Dynamics. $3 891349
710 2 $a SpringerLink (Online service) $3 836513
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52663-8
950 $a Physics and Astronomy (Springer-11651)