Modeling in Materials Processing

While courses in materials processing cover modeling, they usually treat one particular class of materials, that is, polymers, metals, or ceramics. This text offers a new approach, presenting an integrated treatment of metallic and nonmetallic materials. The authors show that a common base of knowledge--specifically, the fundamentals of heat transfer and fluid mechanics--provides a unifying theme for these seemingly disparate areas. They emphasize understanding basic physical phenomena and knowing how to include them in a model. Students will learn how to use scaling analysis as a general tool for simplifying models and for obtaining rapid estimates of results. The book also includes selected numerical methods, a wealth of practical, realistic examples, and homework exercises.

Mathematical modeling and computer simulation are useful tools for improving materials processing. While courses in materials processing have covered modeling, they have traditionally been devoted to one particular class of materials, that is, polymers, metals, or ceramics. This text offers a different approach, presenting an integrated treatment of metallic and non-metallic materials. The authors show that a common base of knowledge - specifically, the fundamentals of heat transfer and fluid mechanics - provides a unifying theme for these seemingly disparate areas. Emphasis is placed on understanding basic physical phenomena and knowing how to include them in a model. The book also treats selected numerical methods, showing the relationship between the physical system, analytical solution, and the numerical scheme. A wealth of practical, realistic examples are provided, as well as homework exercises. Students, and practising engineers who must deal with a wide variety of materials and processing problems, will benefit from the unified treatment presented in this book.

1. Introduction; 2. Governing equations; 3. Scaling and model simplification; 4. Heat conduction and materials processing; 5. Isothermal Newtonian fluid flow; 6. Non-Newtonian fluid flow; 7. Heat transfer with fluid flow; 8. Mass transfer and solidification microstructures; Appendix A. Mathematical background; Appendix B. Balance and kinematic equations.

This text offers a different approach to modeling in materials processing. It shows a common base of knowledge among metallic and non-metallic materials and presents an integrated treatment. Chapters explain how to develop analytical models and the use of scaling analysis to simplify general governing equations. The book also includes selected numerical methods, many practical examples, and homework exercises.