Science and Engineering of Casting Solidification, Second Edition

**__Science and Engineering of Casting Solidification, Second Edition__** covers the essentials of solidification science of metals and alloys at macro- and micro-length scales at cooling rates specific to commercial castings and rapid solidification processing. The mathematical fundamentals necessary to build a working knowledge in the field, specifically partial differential equations and numerical analysis, are introduced. Each topic begins with the description of the underlying physics, followed by the mathematics required to build analytical and numerical models. Wherever possible, a detailed description of the architecture of the numerical model is provided, followed by examples of models built on the Excel spreadsheet. Features of this new edition include: * Expanded sections on peritectic solidification and shrinkage porosity mechanisms and modeling, * A new chapter addressing rapid solidification and bulk metallic glasses, * Additional solved problems, * Revised and simplified derivations of several models. **__Science and Engineering of Casting Solidification, Second Edition__** will prove useful to senior undergraduate and graduate students, as well as to industrial researchers that work in the field of solidification in general and casting modeling in particular. The detailed coverage of casting defects will also make it useful to industrial practitioners of metal casting. Additional course materials are available upon faculty request. Front Matter....Pages 1-15 Length-scale in solidification analysis....Pages 1-4 Equilibrium and non-equilibrium during solidification....Pages 1-20 Macro-scale phenomena - general equations....Pages 1-7 Macro-mass transport....Pages 1-42 Macro-energy transport....Pages 1-22 Numerical Macro-modeling of solidification....Pages 1-30 Micro-scale phenomena and interface dynamics....Pages 1-30 Cellular and dendritic growth....Pages 1-38 Eutectic solidification....Pages 1-52 Peritectic solidification....Pages 1-17 Monotectic solidification....Pages 1-6 Microstructures obtained through rapid solidification....Pages 1-11 Solidification in the presence of a third phase....Pages 1-33 Numerical micro-modeling of solidification....Pages 1-44 Atomic scale phenomena - Nucelation and growth....Pages 1-22 Back Matter....Pages 1-19 A brilliant description of solidification theory through the complex mathematical apparatus required for a fundamental treatment of the problem. With a new chapter on semi-solid casting, this second edition is an education in the fast moving area of computational modeling of solidification of castings. Cast copper is about 7000 years old.