Dynamical theory of dendritic growth in convective flow by Jian-Jun Xu

Cover of: Dynamical theory of dendritic growth in convective flow | Jian-Jun Xu

Published by Kluwer Academic Publishers in Dordrecht, Boston .

Written in English

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Subjects:

  • Crystalline interfaces.,
  • Solid-liquid interfaces.,
  • Liquid-liquid interfaces.,
  • Dendritic crystals.,
  • Crystal growth.,
  • Fluid dynamics.,
  • Pattern formation (Physical sciences)

Edition Notes

Includes bibliographical references (p. 235-238) and index.

Book details

Statementby Jian-Jun Xu.
SeriesAdvances in mechanics and mathematics -- v. 2.
Classifications
LC ClassificationsQC173.458.C78 X8 2003, QC173.458.C78 X8 2003
The Physical Object
Paginationxii, 240 p. :
Number of Pages240
ID Numbers
Open LibraryOL18207635M
ISBN 101402013019
LC Control Number2003049631

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To describe the flow field induced by dendritic growth in the external flow, Ananth and Gill used an Oseen model solution of the uniform flow past a paraboloid (Ananth and Gill,).Author: Jian-Jun Xu.

The study of the interplay of growth and convection flow during the solidification has been an important Dynamical theory of dendritic growth in convective flow book 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 Brand: Springer US. 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 Dynamical Theory of Dendritic Growth in Brand: Springer US.

Get this from a library. Dynamical theory of dendritic growth in convective flow. [Jian-Jun Xu] -- "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. Dynamical theory of dendritic growth in convective flow. Dordrecht ; Boston: Kluwer Academic Publishers, © (OCoLC) Online version: Xu, Jian-Jun, Dynamical theory of dendritic growth in convective flow. Dordrecht ; Boston: Kluwer Academic Publishers, © (OCoLC) Document Type: Book: All Authors / Contributors.

: Dynamical Theory of Dendritic Growth in Convective Flow (Advances in Mechanics and Mathematics) (): Jian-Jun Xu: BooksCited by: Dynamical Theory of Dendritic Growth in Convective Flow - Ebook written by Jian-Jun Xu. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while Dynamical theory of dendritic growth in convective flow book read Dynamical Theory Author: Jian-Jun Xu.

Dynamical Theory of Dendritic Growth in Convective Flow by Xu Jian-Jun,available at Book Depository with free delivery worldwide. Dynamical Theory of Dendritic Growth in Convective Flow Jian-Jun Xu (auth.) 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.

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Dendritic Growth Interacting with Convective Flow. Mathematical Formulation of the Problem. 2: Interfacial Wave Theory of Dendritic Growth with No Convection. Follow Jian-Jun Xu and explore their bibliography from 's Jian-Jun Xu Author Page.

(A) Research Monographs: 1. J.J. Xu, \Introduction of Dynamical Theory of Solidiflcation Interfacial Stability ", published by Chinese Academy Press, ( pages) (). J.J. Xu, \Dynamical Theory of Dendritic Growth in Convective Flow", published by Springer Publisher in the series of Advances of Mechanics and Mathematics, ( pages File Size: 70KB.

The dynamical theory of diffraction describes the interaction of waves with a regular lattice. The wave fields traditionally described are X-rays, neutrons or electrons and the regular lattice, atomic crystal structures or nanometer scaled multi-layers or self arranged systems.

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Xu Jian-Jun. 01 May Hardback. US$ DYNAMICAL THEORY OF DENDRITIC GROWTH IN CONVECTIVE FLOW JIAN-JUN XU Department of Mathematics and Statistics, McGill University KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: Print ISBN: A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions Φ t that for any element of t ∈ T, the time, map a point of the phase space back into the phase space.

The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T is taken to be the reals, the dynamical. The different types of convective phenomena which may occur during the dendritic solidification of metallic alloys are discussed from an order of magnitude analysis.

Bulk thermal convection and/or interdendritic solutal convection have to be considered according to the values of the experimental : M.D. Vignon, D. Camel, J.J. Favier. Dendritic growth theory was expanded to include solute diffusion in alloy melts by Lipton and co-workers.

When steady-state tip shapes remain unknown, due to the presence of these and other factors, numerical methods are needed to solve the associated transport equations, and to evolve the correct interface shape dynamically.

Constructal theory of organization in nature: dendritic flows, allometric laws and flight Adrian Bejan Department of Mechanical Engineering, Duke University, Durham, North Carolina, USA Abstract This paper draws attention to the constructal theory of the generation of geometric form in flow systems.

Flow architecture can be reasoned on the. Dendritic patterns frequently arise when a crystal grows into its own undercooled melt. Latent heat released at the two-phase boundary is removed by some transport mechanism, and often the problem can be described by a simple diffusion model.

Its analytic solution is based on a perturbation expansion about the case without capillary effects. The length scale of the pattern is determined by Cited by: 1.

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Part VI - Electromagnetic Theory of Light Part VII - Calculation of the Coefficients of Electromagnetic Induction This work was published before January 1,and is in the public domain worldwide because the author died at least years ago.

Convective heat transfer during dendritic crystal growth This new book provides a broad coverage of valuable background information needed by engineers and scientists involved in energy supply and utilisation: and is the most comprehensive introduction to the full range of technical aspects of wave energy of which the publishers are aware.

Make Offer - Dynamical Theory of Dendritic Growth in Convective Flow (Advances in Mechanics. Theory of Submarine Design by Y.N. Kormilitsin, O.A. Khalizev (Hardback, ) AU $ Dynamical Theory Chapter Overview This chapter solves the Schr¨odinger equation for a high-energy electron in a solid with translational periodicity – i.e., a crystal.

Section derives the dynamical equations (the “Howie–Whelan–Darwin equations”) from the Bethe treatment of the Schr¨odinger equation, and contains the File Size: KB.

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book/5.

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. MATHEMATICS,Applied. Dynamical Theory Of Dendritic Growth In Convective Flow. When a dendritic structure forms, the dendrite arms grow parallel to the favourable growth directions, normally 〈 〉 in cubic metals.

Grains which are orientated with the 〈 〉 direction close to the direction of heat flow will grow fastest and stifle the growth. Crystallography Books Browse New & Used Crystallography Books.

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A statistical evaluation of convective storms in high-resolution Unified Model simulations The Dynamical and Microphysical Evolution of Convective Storms John Nicol Robin Hogan Thorwald Stein Robert Plant Peter Clark [email protected]: Carol Halliwell Kirsty Hanley Humphrey Lean Chilbolton: Mal Clarke Alan Doo Darcy Ladd.

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He showed that these two phenomena are two aspects of the same field and as a result he unified and systematized a vast field of research. This is the first comprehensive book on the dynamical diffraction of x-rays since the development of synchrotron radiation.

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1 Forschungszentrum Ju¨lich,ISBN Examination of binary alloy free dendritic growth theories with a phase-field model J.C. Ramirez, These models provide a theory of steady-state free dendritic growth that is valid for any solute concentration, including the transition from the convective heat and solute transport at the tip.

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Selverston, and Maurice Maulins. many models to simulate dendritic growth in the literature but in the present report, a phase field model suggested by Ryo Kobayashi [1] is being studied. The foundation of most solidification theories is the time-dependent Stefan problem.

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Visit to get more information about this book, to buy it in print, or to download it as a free PDF.ows and dynamical systems. The most important generalization is that to a discrete dynamical system, where time is only discrete (ZZ or IN instead of IR) and the ow is given by a map F: D!IRnlike F:= ’1()).

See also Ch Or: Dis an open Riemannian manifold (instead of DˆIRn). Flow for linear autonomous systems.

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