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An Introduction to the Boltzmann Equation and Transport Processes in Gases
Author: Gilberto M. Kremer
Publisher: Springer Science & Business Media
Published: 2010-08-18
Total Pages: 313
ISBN-13: 3642116965
DOWNLOAD EBOOK →This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
Mathematical Theory of Transport Processes in Gases
Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
Author: V.V. Aristov
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 305
ISBN-13: 9401008663
DOWNLOAD EBOOK →This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of nonequilibrium gas flows on the basis of direct integration of the kinetic equations. Nevertheless, there are some new aspects in the way this topic is treated in the present monograph. In particular, attention is paid to the advantages of the Boltzmann equation as a tool for considering nonequi librium, nonlinear processes. New fields of application of the Boltzmann equation are also described. Solutions of some problems are obtained with higher accuracy. Numerical procedures, such as parallel computing, are in vestigated for the first time. The structure and the contents of the present book have some com mon features with the monograph mentioned above, although there are new issues concerning the mathematical apparatus developed so that the Boltzmann equation can be applied for new physical problems. Because of this some chapters have been rewritten and checked again and some new chapters have been added.
The Mathematical Theory of Non-uniform Gases
Author: Sydney Chapman
Publisher: Cambridge University Press
Published: 1990
Total Pages: 452
ISBN-13: 9780521408448
DOWNLOAD EBOOK →This classic book, now reissued in paperback, presents a detailed account of the mathematical theory of viscosity, thermal conduction, and diffusion in non-uniform gases based on the solution of the Maxwell-Boltzmann equations. The theory of Chapman and Enskog, describing work on dense gases, quantum theory of collisions, and the theory of conduction and diffusion in ionized gases in the presence of electric and magnetic fields is also included in the later chapters. This reprint of the third edition, first published in 1970, includes revisions that take account of extensions of the theory to fresh molecular models and of new methods used in discussing dense gases and plasmas.
Transport Phenomena and Kinetic Theory
Author: Carlo Cercignani
Publisher: Springer Science & Business Media
Published: 2007-12-03
Total Pages: 274
ISBN-13: 0817645543
DOWNLOAD EBOOK →The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.
Transport Processes in Multicomponent Plasma
Author: V.M. Zhdanov
Publisher: CRC Press
Published: 2002-04-11
Total Pages: 292
ISBN-13: 1482265109
DOWNLOAD EBOOK →Transport Processes in Multicomponent Plasma is a revised and updated version of the original Russian edition. The book examines transport phenomena in multicomponent plasma and looks at important issues such as partially ionized gases, molecular gas mixtures and methods of calculating kinetic coefficients. It makes a logical progression from simpl
Macroscopic Transport Equations for Rarefied Gas Flows
Author: Henning Struchtrup
Publisher: Springer Science & Business Media
Published: 2006-06-15
Total Pages: 262
ISBN-13: 3540323864
DOWNLOAD EBOOK →The well known transport laws of Navier-Stokes and Fourier fail for the simulation of processes on lengthscales in the order of the mean free path of a particle that is when the Knudsen number is not small enough. Thus, the proper simulation of flows in rarefied gases requires a more detailed description. This book discusses classical and modern methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equation, for small and moderate Knudsen numbers, i.e. at and above the Navier-Stokes-Fourier level. The main methods discussed are the classical Chapman-Enskog and Grad approaches, as well as the new order of magnitude method, which avoids the short-comings of the classical methods, but retains their benefits. The relations between the various methods are carefully examined, and the resulting equations are compared and tested for a variety of standard problems. The book develops the topic starting from the basic description of an ideal gas, over the derivation of the Boltzmann equation, towards the various methods for deriving macroscopic transport equations, and the test problems which include stability of the equations, shock waves, and Couette flow.
Kinetic Theory
Author: S. G. Brush
Publisher: Elsevier
Published: 2013-10-22
Total Pages: 294
ISBN-13: 1483145859
DOWNLOAD EBOOK →Kinetic Theory, Volume 3: The Chapman-Enskog Solution of the Transport Equation for Moderately Dense Gases describes the Chapman-Enskog solution of the transport equation for moderately dense gases. Topics covered range from the propagation of sound in monatomic gases to the kinetic theory of simple and composite monatomic gases and generalizations of the theory to higher densities. The application of kinetic theory to the determination of intermolecular forces is also discussed. This volume is divided into two sections and begins with an introduction to the work of Hilbert, Chapman, and Enskog that led to the formulation of the Chapman-Enskog theory. The Chapman-Enskog results are then compared with those of earlier theories with respect to viscosity, heat conduction, diffusion, and thermal diffusion. Subsequent chapters focus on alternatives to the Chapman-Enskog method and some mathematical problems; foundations of the kinetic theory of gases; and kinetic theory of processes in dilute gases and of heat conduction, viscosity, and self-diffusion in compressed gases and liquids. This book should be of interest to graduate students and others undertaking research in kinetic theory.
Physical and Chemical Processes in Gas Dynamicsphysical and Chemical Kinet Ics and Thermodynamics
Author: G. G. Chernyi
Publisher: AIAA
Published: 2004
Total Pages: 352
ISBN-13: 9781600864568
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