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Dynamical Theory of Dendritic Growth in Convective Flow

  • Book
  • © 2004

Overview

Authors:
  1. Jian-Jun Xu

    1. Department of Mathematics and Statistics, McGill University, Canada

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Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 7)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
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  2. Introduction

    Pages 1-9

  3. Interfacial Wave Theory of Dendritic Growth from Pure Melt with no Convection

    Pages 11-62

  4. Steady Dendritic Growth from Melt with Convective Flow

    Pages 63-67

  5. Steady Viscous Flow Past a Paraboloid of Revolution

    Pages 69-111

  6. Asymptotic Solution of Dendritic Growth in External Flow (I): The Case of Rapid Growth U≫U∞

    Pages 113-129

  7. Asymptotic Solution of Dendritic Growth in External Flow (II): The Case of Pr → ∞

    Pages 131-155

  8. Steady Dendritic Growth with Natural Convection (I): The Case of Pr= O(1) and ¯G ≪1

    Pages 157-176

  9. Steady Dendritic Growth with Natural Convection (II): The Case of Pr ≫1 and ¯G= O(1)

    Pages 177-195

  10. Stability and Selection of Dendritic Growth with Convective Flow

    Pages 197-231

  11. Concluding Remark

    Pages 233-233

  12. Back Matter

    Pages 235-240
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics and Statistics, McGill University, Canada

    Jian-Jun Xu

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