Theory of Solidification

1. Introduction; 2. Pure substances; 3. Binary substances; 4. Nonlinear theory for directional solidification; 5. Anisotrophy; 6. Disequilibrium; 7. Dendrites; 8. Eutectics; 9. Microscale fluid flow; 10. Mesoscale fluid flow; 11. Phase-field models.

This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.

The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.