Ebook: Interactive Dynamics of Convection and Solidification

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.

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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.

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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.
Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Flow-Induced Morphologies in Directional Solidification....Pages 3-3
Localized Morphologies Observed in Directional Solidification of Binary Alloys into Three-Dimensional Flows....Pages 5-12
Long Wave and Short Wave Oscillatory Patterns in Rapid Directional Solidification....Pages 13-24
A Note on the Stability of a Solidifying Material in an Under-Cooled Melt in the Presence of Convection....Pages 25-32
Time-Dependent Behavior of Dendrites Under Diffusion-Controlled Conditions....Pages 33-46
Velocity and Shape Selection of Dendritic Crystals in a Forced Flow....Pages 47-56
Simulation of Natural Convection Effects on Dendritic Growth....Pages 57-58
Measurements of Liquid Diffusion Coefficients in Transparent Model Systems....Pages 59-66
Front Matter....Pages 67-67
Interfaces on All Scales....Pages 69-70
Mushy Zones with Fully Developed Chimneys....Pages 71-80
Modelling of the Meso-Segregations Under the Influence of Forced Convection: A Statistical Phase-Averaged Approach....Pages 81-90
A General Method for Coupling Macro and Micro Phenomena During the Solidification of an Alloy....Pages 91-98
Mechanical Characteristics of Semi-Solid Steels....Pages 99-112
Solidification in Ternary Systems....Pages 113-122
Phase Transitions in Liquid Crystalline Elastomers: A Fundamental Aspect of LCEs as Artificial Muscles....Pages 123-131
Front Matter....Pages 133-133
Recent Developments in Modelling Continuous Casting of Steel....Pages 135-136
Magnetic Stirring in Horizontal Continuous Casting....Pages 137-144
Solidification-Induced Secondary Flows in Spin-Casting....Pages 145-153
Spreading Flows with Solidification — Top Crusting....Pages 155-164
Melt Spreading with Temperature-Dependent Viscosity....Pages 165-176
Front Matter....Pages 133-133
Convection in Transient Flows of Solidifying Oxidic Mixtures....Pages 177-185
Axisymmetric Spreading of Melts with Basal Solidification....Pages 187-194
The Wetting of Metallic Substrates by Low Melting Point Alloys....Pages 195-208
Solidifying Sessile Water Droplets....Pages 209-226
Convection and Interface Shape During Czochralski Crystal Growth: A Numerical Study....Pages 227-234
An Adaptive Moving Grid Model for Convective Melting and Solidification Problems....Pages 235-242
In-Situ Real-Time Visualization of Solidifying and Melting Opaque Alloyed Metallic Melts....Pages 243-247
Freezing of Pure Melt Flowing into Tubes....Pages 249-268
Back Matter....Pages 269-271

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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.
Content:
Front Matter....Pages i-xi
Front Matter....Pages 1-1
Flow-Induced Morphologies in Directional Solidification....Pages 3-3
Localized Morphologies Observed in Directional Solidification of Binary Alloys into Three-Dimensional Flows....Pages 5-12
Long Wave and Short Wave Oscillatory Patterns in Rapid Directional Solidification....Pages 13-24
A Note on the Stability of a Solidifying Material in an Under-Cooled Melt in the Presence of Convection....Pages 25-32
Time-Dependent Behavior of Dendrites Under Diffusion-Controlled Conditions....Pages 33-46
Velocity and Shape Selection of Dendritic Crystals in a Forced Flow....Pages 47-56
Simulation of Natural Convection Effects on Dendritic Growth....Pages 57-58
Measurements of Liquid Diffusion Coefficients in Transparent Model Systems....Pages 59-66
Front Matter....Pages 67-67
Interfaces on All Scales....Pages 69-70
Mushy Zones with Fully Developed Chimneys....Pages 71-80
Modelling of the Meso-Segregations Under the Influence of Forced Convection: A Statistical Phase-Averaged Approach....Pages 81-90
A General Method for Coupling Macro and Micro Phenomena During the Solidification of an Alloy....Pages 91-98
Mechanical Characteristics of Semi-Solid Steels....Pages 99-112
Solidification in Ternary Systems....Pages 113-122
Phase Transitions in Liquid Crystalline Elastomers: A Fundamental Aspect of LCEs as Artificial Muscles....Pages 123-131
Front Matter....Pages 133-133
Recent Developments in Modelling Continuous Casting of Steel....Pages 135-136
Magnetic Stirring in Horizontal Continuous Casting....Pages 137-144
Solidification-Induced Secondary Flows in Spin-Casting....Pages 145-153
Spreading Flows with Solidification — Top Crusting....Pages 155-164
Melt Spreading with Temperature-Dependent Viscosity....Pages 165-176
Front Matter....Pages 133-133
Convection in Transient Flows of Solidifying Oxidic Mixtures....Pages 177-185
Axisymmetric Spreading of Melts with Basal Solidification....Pages 187-194
The Wetting of Metallic Substrates by Low Melting Point Alloys....Pages 195-208
Solidifying Sessile Water Droplets....Pages 209-226
Convection and Interface Shape During Czochralski Crystal Growth: A Numerical Study....Pages 227-234
An Adaptive Moving Grid Model for Convective Melting and Solidification Problems....Pages 235-242
In-Situ Real-Time Visualization of Solidifying and Melting Opaque Alloyed Metallic Melts....Pages 243-247
Freezing of Pure Melt Flowing into Tubes....Pages 249-268
Back Matter....Pages 269-271
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