Interfacial Wave Theory of Pattern Formation in Solidification : Dendrites, Fingers, Cells and Free Boundaries /
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...
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Main Authors: | |
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Corporate Authors: | |
Published: |
Springer International Publishing : Imprint: Springer,
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Publisher Address: | Cham : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Edition: | Second edition. |
Series: |
Springer Series in Synergetics,
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Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-3-319-52663-8 |
Summary: |
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 directiona |
Carrier Form: | 1 online resource : illustrations. |
ISBN: | 9783319526638 |
Index Number: | QC176 |
CLC: | O48 |
Contents: | 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 grow |