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Interactive Dynamics of Convection and Solidification

  • Book
  • © 2001

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Editors:
  1. Peter Ehrhard

    1. Forschungszentrum Karlsruhe, Karlsruhe, Germany

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  2. David S. Riley

    1. University of Nottingham, Nottingham, UK

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  3. Paul H. Steen

    1. Cornell University, Ithaca, USA

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xi
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  2. Microscale Phenomena

    1. Front Matter

      Pages 1-1
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    2. Flow-Induced Morphologies in Directional Solidification

      • Stephen H. Davis
      Pages 3-3

    3. Localized Morphologies Observed in Directional Solidification of Binary Alloys into Three-Dimensional Flows

      • B. Billia, N. Bergeon, D. Benielli, Y. Dabo, R. Guerin, H. Jamgotchian et al.
      Pages 5-12

    4. Long Wave and Short Wave Oscillatory Patterns in Rapid Directional Solidification

      • Philippe Metzener
      Pages 13-24

    5. A Note on the Stability of a Solidifying Material in an Under-Cooled Melt in the Presence of Convection

      • Duane Johnson, R. Narayanan
      Pages 25-32

    6. Time-Dependent Behavior of Dendrites Under Diffusion-Controlled Conditions

      • M. E. Glicksman, J. E. Frei, J. C. LaCombe, M. B. Koss, A. O. Lupulescu, C. Giummarra
      Pages 33-46

    7. Velocity and Shape Selection of Dendritic Crystals in a Forced Flow

      • X. Tong, C. Beckermann, A. Karma
      Pages 47-56

    8. Simulation of Natural Convection Effects on Dendritic Growth

      • Robert Tönhardt, Gustav Amberg
      Pages 57-58

    9. Measurements of Liquid Diffusion Coefficients in Transparent Model Systems

      • Angus Hellawell
      Pages 59-66

  3. Mushy Zone Phenomena

    1. Front Matter

      Pages 67-67
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    2. Interfaces on All Scales

      • M. G. Worster
      Pages 69-70

    3. Mushy Zones with Fully Developed Chimneys

      • T. P. Schulze, M. Grae Worster
      Pages 71-80

    4. Modelling of the Meso-Segregations Under the Influence of Forced Convection: A Statistical Phase-Averaged Approach

      • Y. Fautrelle, P. Lehmann, G. Quillet, M. Medina, F. Durand, Y. Du Terrail
      Pages 81-90

    5. A General Method for Coupling Macro and Micro Phenomena During the Solidification of an Alloy

      • Vaughan R. Voller
      Pages 91-98

    6. Mechanical Characteristics of Semi-Solid Steels

      • A. A. Tseng, J. Horský, M. Raudenský, P. Kotrbácek
      Pages 99-112

    7. Solidification in Ternary Systems

      • A. Aitta, H. E. Huppert, M. G. Worster
      Pages 113-122

    8. Phase Transitions in Liquid Crystalline Elastomers: A Fundamental Aspect of LCEs as Artificial Muscles

      • P. E. Cladis
      Pages 123-131

  4. Macroscale Phenomena

    1. Front Matter

      Pages 133-133
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    2. Recent Developments in Modelling Continuous Casting of Steel

      • Wilhelm Schneider
      Pages 135-136
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Keywords

About this book

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.

Editors and Affiliations

  • Forschungszentrum Karlsruhe, Karlsruhe, Germany

    Peter Ehrhard

  • University of Nottingham, Nottingham, UK

    David S. Riley

  • Cornell University, Ithaca, USA

    Paul H. Steen

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