Kinetic Theory And Fluid Dynamics
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Author |
: Yoshio Sone |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 358 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461200611 |
ISBN-13 |
: 146120061X |
Rating |
: 4/5 (11 Downloads) |
Synopsis Kinetic Theory and Fluid Dynamics by : Yoshio Sone
This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
Author |
: J. R. Dorfman |
Publisher |
: Cambridge University Press |
Total Pages |
: 667 |
Release |
: 2021-06-24 |
ISBN-10 |
: 9780521895477 |
ISBN-13 |
: 0521895472 |
Rating |
: 4/5 (77 Downloads) |
Synopsis Contemporary Kinetic Theory of Matter by : J. R. Dorfman
A thorough examination of kinetic theory and its successes in understanding and describing irreversible phenomena in physical systems.
Author |
: Huilin Lu |
Publisher |
: Springer Nature |
Total Pages |
: 198 |
Release |
: 2021-05-03 |
ISBN-10 |
: 9789811615580 |
ISBN-13 |
: 9811615586 |
Rating |
: 4/5 (80 Downloads) |
Synopsis Computational Fluid Dynamics and the Theory of Fluidization by : Huilin Lu
This book is for engineers and students to solve issues concerning the fluidized bed systems. It presents an analysis that focuses directly on the problem of predicting the fluid dynamic behavior which empirical data is limited or unavailable. The second objective is to provide a treatment of computational fluidization dynamics that is readily accessible to the non-specialist. The approach adopted in this book, starting with the formulation of predictive expressions for the basic conservation equations for mass and momentum using kinetic theory of granular flow. The analyses presented in this book represent a body of simulations and experiments research that has appeared in numerous publications over the last 20 years. This material helps to form the basis for university course modules in engineering and applied science at undergraduate and graduate level, as well as focused, post-experienced courses for the process, and allied industries.
Author |
: Nicola Bellomo |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 429 |
Release |
: 2013-11-11 |
ISBN-10 |
: 9781461205135 |
ISBN-13 |
: 1461205131 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Modeling in Applied Sciences by : Nicola Bellomo
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.
Author |
: R.L. Liboff |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 587 |
Release |
: 2006-03-30 |
ISBN-10 |
: 9780387217758 |
ISBN-13 |
: 0387217754 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Kinetic Theory by : R.L. Liboff
This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.
Author |
: C. Cercignani |
Publisher |
: Springer |
Total Pages |
: 219 |
Release |
: 2014-05-04 |
ISBN-10 |
: 9783709127629 |
ISBN-13 |
: 3709127629 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Kinetic Theory and Gas Dynamics by : C. Cercignani
Author |
: Joseph O. Hirschfelder |
Publisher |
: John Wiley & Sons |
Total Pages |
: 1283 |
Release |
: 1964-01-15 |
ISBN-10 |
: 9780471400653 |
ISBN-13 |
: 0471400653 |
Rating |
: 4/5 (53 Downloads) |
Synopsis The Molecular Theory of Gases and Liquids by : Joseph O. Hirschfelder
An essential cross-disciplinary reference for molecular interactions Molecular Theory of Gases and Liquids offers a rigorous, comprehensive treatment of molecular characteristics and behaviors in the gaseous and fluid states. A unique cross-disciplinary approach provides useful insight for students of chemistry, chemical engineering, fluid dynamics, and a variety of related fields, with thorough derivations and in-depth explanations throughout. Appropriate for graduate students and working scientists alike, this book details advanced concepts without sacrificing depth of coverage or technical detail.
Author |
: Renee Gatignol |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 307 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642502354 |
ISBN-13 |
: 3642502350 |
Rating |
: 4/5 (54 Downloads) |
Synopsis Advances in Kinetic Theory and Continuum Mechanics by : Renee Gatignol
This volume contains the proceedings of the symposium held on Friday 6 July 1990 at the University Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes on the occasion of his retirement. There were about one hundred participants from nine countries: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the USA. Many of his past students or his colleagues were among the participants. The twenty-six papers in this volume are written versions submitted by the authors and cover almost all the fields in which Professor Cabannes has actively worked for more than forty-five years. The papers are presented in four chapters: classical kinetic theory and fluid dynamics, discrete kinetic theory, applied fluid mechanics, and continuum mechanics. The editors would like to take this opportunity to thank the generous spon sors of the symposium: the University Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and Direction des Recherches et Etudes Techniques (especially Professor P. Lallemand). Many thanks are also due to all the participants for making the symposium a success. Finally, we thank Professor W. Beiglbock and his team at Springer-Verlag for producing this volume.
Author |
: Roberto Monaco |
Publisher |
: World Scientific |
Total Pages |
: 432 |
Release |
: 1989-04-01 |
ISBN-10 |
: 9789813201415 |
ISBN-13 |
: 981320141X |
Rating |
: 4/5 (15 Downloads) |
Synopsis Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop by : Roberto Monaco
The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Author |
: R. Byron Bird |
Publisher |
: Wiley-Interscience |
Total Pages |
: 680 |
Release |
: 1987-05-27 |
ISBN-10 |
: STANFORD:36105003370702 |
ISBN-13 |
: |
Rating |
: 4/5 (02 Downloads) |
Synopsis Dynamics of Polymeric Liquids, Volume 1 by : R. Byron Bird
This revision of an introductory text examines Newtonian liquids and polymer fluid mechanics. It begins with a review of the main ideas of fluid dynamics as well as key points of Newtonian fluids.