Interfacial Wave Theory of Pattern Formation in Solidification

Dendrites, Fingers, Cells and Free Boundaries

Nonfiction, Science & Nature, Science, Chemistry, Technical & Industrial, Physics, Mechanics
Cover of the book Interfacial Wave Theory of Pattern Formation in Solidification by Jian-Jun Xu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jian-Jun Xu ISBN: 9783319526638
Publisher: Springer International Publishing Publication: May 23, 2017
Imprint: Springer Language: English
Author: Jian-Jun Xu
ISBN: 9783319526638
Publisher: Springer International Publishing
Publication: May 23, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Reliability, Safety, and Security of Railway Systems. Modelling, Analysis, Verification, and Certification by Jian-Jun Xu
Cover of the book Science, Museums and Collecting the Indigenous Dead in Colonial Australia by Jian-Jun Xu
Cover of the book Natural Gas: A Commercial Perspective by Jian-Jun Xu
Cover of the book Planning and Scheduling for Maritime Container Yards by Jian-Jun Xu
Cover of the book Kuhn’s Structure of Scientific Revolutions - 50 Years On by Jian-Jun Xu
Cover of the book Spectroscopic Analysis of Optoelectronic Semiconductors by Jian-Jun Xu
Cover of the book Medical Image Computing and Computer-Assisted Intervention - MICCAI 2016 by Jian-Jun Xu
Cover of the book Novice Writers and Scholarly Publication by Jian-Jun Xu
Cover of the book International Handbook of Philosophy of Education by Jian-Jun Xu
Cover of the book The Fall of France in the Second World War by Jian-Jun Xu
Cover of the book Negotiating Normativity by Jian-Jun Xu
Cover of the book Internationalizing Firms by Jian-Jun Xu
Cover of the book Introduction to the Representation Theory of Algebras by Jian-Jun Xu
Cover of the book Higher Education: Handbook of Theory and Research by Jian-Jun Xu
Cover of the book Programming Language Concepts by Jian-Jun Xu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy