Interactive Dynamics of Convection and Solidification

1. Front Matter

   Pages i-xi

   PDF

2. Microscale Phenomena

   1. Front Matter

      Pages 1-1

      PDF

   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

      PDF

   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

      PDF

   2. Recent Developments in Modelling Continuous Casting of Steel

      • Wilhelm Schneider

      Pages 135-136

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.

• convection
• diffusion
• dynamics
• energy
• material
• metal
• phase Transition
• safety
• simulation
• stability
• welding

• Forschungszentrum Karlsruhe, Karlsruhe, Germany

  Peter Ehrhard

• University of Nottingham, Nottingham, UK

  David S. Riley

• Cornell University, Ithaca, USA

  Paul H. Steen

Policies and ethics