Structure and Dynamics of Partially Solidified Systems

✍ Scribed by A. Hellawell (auth.), David E. Loper (eds.)

• Publisher: Springer Netherlands
• Year: 1987
• Tongue: English
• Leaves: 474
• Series: NATO ASI Series 125
• Edition: 1
• Category: Library

✦ Synopsis

This volume contains papers presented at the NATO Advanced Research Workshop on the Structure and Dynamics of Partially Solidified Systems held at Stanford Sierra Lodge, Tahoe, California, May 12-16, 1986. This work­ shop grew out of a realization that there was a significant amount of interest and activity in this topic in several unrelated disciplines, and that it would be mutually beneficial to bring together those mathemati'­ cians, scientists and engineers interested in this subject to share their knowledge and ideas with each other. Partially solidified systems occur in a variety of natural and man­ made environments. Perhaps the most well-known occurrence involves the solidification of metallic alloys. Typically as a molten alloy is cooled, the solid phase advances from the cold boundary into the liquid as a branching forest of dendritic crystals. This creates a region of mixed solid and liquid phases, commonly referred to as a mushy zone, in which the solid forms a rigidly connected framework with the liquid occurring in the intercrystalline gaps. In addition to the casting of metallic alloys, mushy zones can occur in weld pools, the Earth's core and. mantle, magma chambers, temperate glaciers, frozen soils, frozen lakes and sea ice. A second mechanical configuration for the solid phase is as a suspension of small crystals within the liquid; this is referred to as a slurry.

✦ Table of Contents

Front Matter....Pages i-ix
Front Matter....Pages 1-1
Local Convective Flows in Partly Solidified Alloys....Pages 3-22
Evolution of Lengthscales in Partially Solidified Systems....Pages 23-35
Various Aqueous Solutions Crystallizing from the Side....Pages 37-57
Double Diffusive Convection during Solidification at a Vertical Wall....Pages 59-77
Front Matter....Pages 79-79
Nonlinear Analyses of Phase Change and Crystal Growth Phenomena....Pages 81-94
Global Asymptotic Solution for Axisymmetric Dendrite Growth with Small Undercooling....Pages 95-109
Some Aspects of the Stefan Model for Phase Transitions....Pages 111-119
Some Aspects of the Weakly Nonlinear Theory of the Morphological Instability....Pages 121-129
Phase Field Models of Free Boundary Problems: Exterior Boundaries Higher Order Equations and Anisotropy....Pages 131-139
The Numerical Solution of Phase Change Problems....Pages 141-156
Front Matter....Pages 157-157
Theories of Mushy Zones: Applications to Alloy Solidification, Magma Transport, Frost Heave and Igneous Intrusions....Pages 159-199
On Crystalization of a Binary Alloy Capable of Forming a Eutectic Mixture....Pages 201-228
Dynamical Processes in Slurries....Pages 229-290
A Boussinesq Model of a Slurry....Pages 291-323
Front Matter....Pages 325-325
Towards Scaling Laws for the Interpretation of Igneous Structures....Pages 327-347
Constitutional Zone Refining of Magmatic Intrusions....Pages 349-365
The Role of Conjugate Convection in Magmatic Heat and Mass Transfer....Pages 367-382
Melt Stability and Compaction in a Partially Molten Silicate Layer Heated from Below....Pages 383-400
Melt Migration in Deformable Media....Pages 401-415
Crystallization Shrinkage in the Region of Partial Solidification: Implications for Silicate Melts....Pages 417-435
Front Matter....Pages 325-325
Morphology, Microstructure and Micromechanics of Ice Fields....Pages 437-451
Slush on Lakes....Pages 453-465
A Bibliography of Partially Solidified Systems....Pages 467-500
Back Matter....Pages 501-506

✦ Subjects

Surgical Oncology;Metallic Materials;Classical Continuum Physics