Download or read book A Primer of Diffusion Problems written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A Primer of Diffusion Problems A Primer of Diffusion Problems is a concise and lively introduction to diffusion theory in its many guises and to a variety of analytical and numerical methods for the solution of diffusion problems. It discusses the diffusion equation, the steady state, diffusion under external forces, time-dependent diffusion, and similarity, thus bridging mathematical and physical treatments of diffusion. Featured topics include a careful development of the oxidation theory of silicon, properties of the family of error functions, precipitation and phase transformations, a concise introduction to Laplace transforms, and nonlinear boundary conditions. Exercises are found throughout the text, and appendices treat rarely found advanced topics.
Download or read book A Primer of Diffusion Problems written by Richard Ghez and published by Wiley-VCH. This book was released on 1988-05-18 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only elementary text to provide a complete introduction to diffusion theory and the various analytical and numerical methods of solution. Presents an integrated set of real-life problems taken mainly from metallurgy and device processing, and offers an overview of the solution of diffusion problems in practical cases, with clear explanations of the interrelationships between mathematical solutions, and the underlying physics and chemistry. Covers oxidation theory, error functions, Laplace transforms, and similarity, a topic of current research interest. Also covers Green's functions and integral equations, rarely discussed in introductory texts.
Download or read book A Primer of Diffusion Problems written by Richard Ghez and published by Wiley-VCH. This book was released on 1988-05-18 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only elementary text to provide a complete introduction to diffusion theory and the various analytical and numerical methods of solution. Presents an integrated set of real-life problems taken mainly from metallurgy and device processing, and offers an overview of the solution of diffusion problems in practical cases, with clear explanations of the interrelationships between mathematical solutions, and the underlying physics and chemistry. Covers oxidation theory, error functions, Laplace transforms, and similarity, a topic of current research interest. Also covers Green's functions and integral equations, rarely discussed in introductory texts.
Download or read book A Closer Look at the Diffusion Equation written by Jordan Hristov and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--
Download or read book Mathematical Modeling of Earth s Dynamical Systems written by Rudy Slingerland and published by Princeton University Press. This book was released on 2011-03-28 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html
Download or read book Diffusion Phenomena written by Richard Ghez and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Mathematics of Diffusion written by John Crank and published by Oxford University Press. This book was released on 1979 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though it incorporates much new material, this new edition preserves the general character of the book in providing a collection of solutions of the equations of diffusion and describing how these solutions may be obtained.
Download or read book Solutions of Certain Diffusion Problems written by Gale Jay Young and published by . This book was released on 1936 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Anomalous Diffusion and Relaxation written by Luiz Roberto Evangelista and published by Springer Nature. This book was released on 2023-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.
Download or read book Diffusion Processes written by Merkel H. Jacobs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic tenet of present day biophysics is that flows in biological systems are causally related to forces. A large and growing fraction of membrane biophysics is devoted to an exploration of the quantitative relationship between forces and flows in order to understand both the nature of biological membranes and the processes that take place on and in these membranes. This is why the discussion of the nature of diffusion is so important in any formal development of membrane bio physics. This was equally true twenty years ago when tracers were just beginning to be used for the measurement of m.
Download or read book Graphical Analysis of Certain Diffusion Problems written by Wylie C. Kirkpatrick and published by . This book was released on 1947 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion Phenomena Cases and Studies written by Richard Ghez and published by Courier Dover Publications. This book was released on 2018-12-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Partial Differential Equations in Mechanics 1 written by A.P.S. Selvadurai and published by Springer Science & Business Media. This book was released on 2000-10-19 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
Download or read book Partial Differential Equations in Mechanics 2 written by A.P.S. Selvadurai and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.
Download or read book A Primer on PDEs written by Sandro Salsa and published by Springer Science & Business Media. This book was released on 2013-05-13 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.
Download or read book Diffusion Problems with an Impendence Boundary Condition written by Elena Bernardis and published by . This book was released on 2005 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General One dimensional Steady state Diffusion Problems written by and published by . This book was released on 1981 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
