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This authoritative test introduces the basic aspects of diffusion phenomena and their methods of solution through physical examples. It emphasizes modeling and methodology, bridging the gap between physico chemical statements of certain kinetic processes and their reduction to diffusion problems. Author Richard Ghez draws upon his experience in the areas of metallurgy and semiconductor technology to present physically significant examples that will prove of interest to a wide range of scientists — physicists, chemists, biologists, and applied mathematicians. Prerequisites include a rigorous year of calculus and a semester of thermodynamics. The opening chapter on the diffusion equation is succeeded by chapters on steady-state examples, diffusion under external forces, and simple time-dependent examples. An introduction to similarity is followed by explorations of surface rate limitations and segregation, a user's guide to the Laplace transform, and further time-dependent examples.
This book is a second edition of the one that was published by John Wiley & Sons in 1988. It carries a new title because the former one, A Primer of Diffusion Problems, gave the impression of consisting merely of a set of problems relating to diffusion. Nonetheless, my intention was clearly spelled out and it remains the same, namely, to teach basic aspects and methods of solution for diffusion phenomena through physical examples. Again, I emphasize that the coverage is not encyclopedic. There exist already several outstanding works of that nature, for example, J. Philibert's Atom Movements, Diffusion and Mass Transport in Solids. My emphasis is on modeling and methodology. This book should thus constitute a consistent introduction to diffusion phenomena, whatever their origin or further application. This edition has been largely revised. It contains a completely new chapter and three new appendices. I have added several new exercises stemming from my experience in teaching this material over the last 15 years. I hope that they will be instructive to the reader for they were not chosen perfunctorily. Although they are the bane of authors and of readers, I have retained footnotes if they might help the reader's comprehension. Additional, but nonessential material is collected at the end of chapters, and is indicated in the text by superscripts.
Readable and authoritative text teaches basics of diffusion phenomena and their methods of solution through physical examples. Emphasis on modeling, methodology bridging physico-chemical statements and reduction to diffusion problems. 2001 edition.
Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in polymers and wetting of soils. Some chapters are devoted to fractional diffusion problem with operators with singular and non-singular memory kernels. The book content cannot present the entire rich area of problems related to modelling of diffusion phenomena but allow seeing some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels the numerical methods and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.The book is oriented to researchers; master and PhD students involved in diffusion problems with a variety of application and could serves as a rich reference source and a collection of texts provoking new ideas.
Present issue is devoted to problems classical mass diffusion such as phase transformations, corrosion behavior, coatings and microstructures and extensions to new research in the field of nanotechnology. Were investigated classical carbon and alloy steel
The volume in the field of Iranian, Semitic and Turkic contact linguistics, is the first of its kind, providing a summary of the present results of this dynamic field of research.
Organizations and businesses are applying sustainable development concepts in their management strategies in order to improve and rethink products, processes, services, and policies which will have significant potential to reduce carbon dioxide emissions, excess consumption, and improve the quality of lives. Cases on the Diffusion and Adoption of Sustainable Development Practices is a collection of case studies on the concepts and theories of successful sustainable practices. It also identifies key mechanisms and strategies that have allowed the successful diffusion of these practices into communities, regions and nations around the world. This reference source is essential for professionals, researchers, educators and leaders in pursuit of innovative solutions in sustainable development.
In this concise, clear introduction, the authors describe the theory of spatial diffusion, its method of measurement and many of its applications. The seminal work of Torsten Hagerstrand, who introduced the original spatial model of diffusion, is outlined. The authors then summarise the developments that have been made to Hagerstrand's formulation, and make suggestions for future research.
These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering, medicine and public health.