Interfacial Wave Theory of Pattern Formation in Solidification Dendrites, Fingers, Cells and Free Boundaries /

• Main Author: Xu, Jian-Jun (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; Chemical engineering.; Amorphous substances.; Complex fluids.; Fluid mechanics.; Materials > Surfaces.; Thin films.; Soft and Granular Matter, Complex Fluids and Microfluidics.; Industrial Chemistry/Chemical Engineering.; Surfaces and Interfaces, Thin Films.; Applications of Nonlinear Dynamics and Chaos Theory.; Engineering Fluid Dynamics.

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...

Table of 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 growth.