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Interfacial Wave Theory Of Solidification Dendritic Pattern Formation And Selection Of Growth Velocity
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Book Synopsis Interfacial Wave Theory of Solidification : Dendritic Pattern Formation and Selection of Growth Velocity by : McGill University. Department of Mathematics and Statistics
Download or read book Interfacial Wave Theory of Solidification : Dendritic Pattern Formation and Selection of Growth Velocity written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1989 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interfacial Wave Theory of Pattern Formation by : Jian-Jun Xu
Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by . This book was released on 1997-12-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interfacial Wave Theory of Pattern Formation in Solidification by : Jian-Jun Xu
Download or read book Interfacial Wave Theory of Pattern Formation in Solidification written by Jian-Jun Xu and published by Springer. This book was released on 2017-05-23 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Interfacial Wave Theory of Pattern Formation by : Jian-Jun Xu
Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys tems far from equilibrium. In many practically very important physical sys tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach. Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the prominent topics of the new interdisciplinary field of nonlinear science. This research monograph is based on a series of lectures I have given at McGill University, Canada (1993-1994), Northwestern Poly technical In stitute, China (1994), Aachen University, Germany (1994), and the CRM summer school at Banff, Alberta, Canada (1995).
Book Synopsis Dynamical Theory of Dendritic Growth in Convective Flow by : Jian-Jun Xu
Download or read book Dynamical Theory of Dendritic Growth in Convective Flow written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Pattern Formation In Diffusion-limited Crystal Growth: Beyond The Single Dendrite by : Klaus Kassner
Download or read book Pattern Formation In Diffusion-limited Crystal Growth: Beyond The Single Dendrite written by Klaus Kassner and published by World Scientific. This book was released on 1996-07-04 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the current state of the theory of pattern formation by a liquid-solid interface during crystal growth. It gives a pedagogical introduction to the subject, including experimental results, mathematical modeling and linear stability analysis. After highlighting the success of the theory in resolving the selection problem of dendritic growth, various new directions of research are presented in which progress has been made recently. These are the formation of nondendritic seaweed-like structures, growth of lamellar eutectics and rapid solidification. The interplay between analytic methods on the one hand (scaling arguments, asymptotic analysis, similarity equation, Sivashinsky singular expansion) and numerical calculations on the other (Newton method, dynamical schemes) is emphasized.
Book Synopsis Free Boundary Problems Involving Solids by : J M Chadam
Download or read book Free Boundary Problems Involving Solids written by J M Chadam and published by CRC Press. This book was released on 1993-02-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes containing the proceedings of the International Colloquium 'Free Boundary Problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main theme of this volume is the concept of free boundary problems associated with solids. The first free boundary problem, the freezing of water - the Stefan problem - is the prototype of solidification problems which form the main part of this volume. The two sections treting this subject cover a large variety of topics and procedures, ranging from a theoretical mathematical treatment of solvability to numerical procedures for practical problems. Some new and interesting problems in solid mechanics are discussed in the first section while in the last section the important new subject of solid-solid-phase transition is examined.
Book Synopsis Interfacial Theory for Dendritic Pattern Formation in Solidification by : McGill University. Department of Mathematics and Statistics
Download or read book Interfacial Theory for Dendritic Pattern Formation in Solidification written by McGill University. Department of Mathematics and Statistics and published by . This book was released on 1989 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Journal of Physics written by and published by . This book was released on 1994 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mechanics and Mathematics by : David Yang Gao
Download or read book Advances in Mechanics and Mathematics written by David Yang Gao and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.
Book Synopsis Interactive Dynamics of Convection and Solidification by : Peter Ehrhard
Download or read book Interactive Dynamics of Convection and Solidification written by Peter Ehrhard and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystal growth, casting, soldering, welding, high-energy surface treatment, nuclear safety systems and geophysical flows are just a few examples where solidification and convection occur together. These processes are interactive on micro- and macroscales: flow affects the distribution of heat and species and hence the freezing process, while solidification evolves flow boundaries, as in crusting, for example, and hence can radically alter the convection. Mathematical modellers, experimentalists and applied scientists were invited to this colloquium with the aim of consolidating our understanding of such interactions, of identifying key outstanding issues, and of developing new approaches in this important area of fundamental research. Both invited and contributed papers focus on both fundamental and technologically relevant problems.
Book Synopsis Crystal and Epitaxial Growth by : V. Alexander Stefan, Editor
Download or read book Crystal and Epitaxial Growth written by V. Alexander Stefan, Editor and published by Stefan University Press. This book was released on 2002 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Physics of Structure Formation by : Werner Güttinger
Download or read book The Physics of Structure Formation written by Werner Güttinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics. Such pattern formation problems are common in practically all systems involving a large number of interacting components. Here, the basic problem is to understand how competing physical forces can shape stable geometries and to explain why nature prefers just these. Motivation for the intensive study of pattern formation phenomena during the past few years derives from an increasing appreciation of the remarkable diversity of behaviour encountered in nonlinear systems and of universal features shared by entire classes of nonlinear processes. As physics copes with ever more ambi tious problems in pattern formation, summarizing our present state of knowledge becomes a pressing issue. This volume presents an overview of selected topics in this field of current interest. It deals with theoretical models of pattern formation and with simulations that bridge the gap between theory and experiment. The book is a product of the International Symposium on the Physics of Structure Formation, held from October 27 through November 2, 1986, at the Institute for Information Sciences of the University of Tiibingen. The symposium brought together a group of distinguished scientists from various disciplines to exchange ideas about recent advances in pattern formation in the physical sciences, and also to introduce young scientists to the fi
Download or read book Physics Briefs written by and published by . This book was released on 1992 with total page 1434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deterministic growth model of pattern formation in dendritic solidification by : Fereydoon Family
Download or read book Deterministic growth model of pattern formation in dendritic solidification written by Fereydoon Family and published by . This book was released on 1987 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Solidification by : Stephen H. Davis
Download or read book Theory of Solidification written by Stephen H. Davis and published by Cambridge University Press. This book was released on 2001-10-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.
