Mathematical Theory of Transport Processes in Gases

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Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathematical Theory of Transport Processes in Gases by : Joel H. Ferziger

Download or read book Mathematical Theory of Transport Processes in Gases written by Joel H. Ferziger and published by . This book was released on 1972 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Boltzmann Equation and Transport Processes in Gases

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Publisher : Springer Science & Business Media
ISBN 13 : 3642116965
Total Pages : 310 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis An Introduction to the Boltzmann Equation and Transport Processes in Gases by : Gilberto M. Kremer

Download or read book An Introduction to the Boltzmann Equation and Transport Processes in Gases written by Gilberto M. Kremer and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Transport Phenomena and Kinetic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645543
Total Pages : 271 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Transport Phenomena and Kinetic Theory by : Carlo Cercignani

Download or read book Transport Phenomena and Kinetic Theory written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Theory of Transport Processes in Gases

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Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Mathematical Theory of Transport Processes in Gases by : Joel H. Ferziger

Download or read book Mathematical Theory of Transport Processes in Gases written by Joel H. Ferziger and published by . This book was released on 1972 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Theory of Dilute Gases

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Publisher : Springer Science & Business Media
ISBN 13 : 1441985247
Total Pages : 357 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis The Mathematical Theory of Dilute Gases by : Carlo Cercignani

Download or read book The Mathematical Theory of Dilute Gases written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.

The Mathematical Theory of Non-uniform Gases

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Publisher : Cambridge University Press
ISBN 13 : 9780521408448
Total Pages : 452 pages
Book Rating : 4.4/5 (84 download)

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Book Synopsis The Mathematical Theory of Non-uniform Gases by : Sydney Chapman

Download or read book The Mathematical Theory of Non-uniform Gases written by Sydney Chapman and published by Cambridge University Press. This book was released on 1990 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9401008663
Total Pages : 305 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows by : V.V. Aristov

Download or read book Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows written by V.V. Aristov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Transport Processes in Multicomponent Plasma

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Publisher : CRC Press
ISBN 13 : 1482265109
Total Pages : 292 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Transport Processes in Multicomponent Plasma by : V.M. Zhdanov

Download or read book Transport Processes in Multicomponent Plasma written by V.M. Zhdanov and published by CRC Press. This book was released on 2002-04-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Physical and Chemical Processes in Gas Dynamicsphysical and Chemical Kinet Ics and Thermodynamics

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Publisher : AIAA
ISBN 13 : 9781600864568
Total Pages : 352 pages
Book Rating : 4.8/5 (645 download)

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Book Synopsis Physical and Chemical Processes in Gas Dynamicsphysical and Chemical Kinet Ics and Thermodynamics by : G. G. Chernyi

Download or read book Physical and Chemical Processes in Gas Dynamicsphysical and Chemical Kinet Ics and Thermodynamics written by G. G. Chernyi and published by AIAA. This book was released on 2004 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transport Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821813201
Total Pages : 340 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Transport Theory by : Richard Bellman

Download or read book Transport Theory written by Richard Bellman and published by American Mathematical Soc.. This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory. The possibility of controlled thermonuclear processes has similarly focussed attention upon plasmas, sometimes called the "fourth state of matter". Independently, many classical aspects of kinetic theory and radiative transfer theory have been studied both because of their basic mathematical interest and of their physical applications to areas such as upper-atmosphere meteorology - introduction.

Lecture Notes On Mathematical Theory Of The Boltzmann Equation

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Publisher : World Scientific
ISBN 13 : 9814500844
Total Pages : 273 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Lecture Notes On Mathematical Theory Of The Boltzmann Equation by : Nicola Bellomo

Download or read book Lecture Notes On Mathematical Theory Of The Boltzmann Equation written by Nicola Bellomo and published by World Scientific. This book was released on 1995-08-31 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

Kinetic Theory

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Publisher : Elsevier
ISBN 13 : 1483145859
Total Pages : 294 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Kinetic Theory by : S. G. Brush

Download or read book Kinetic Theory written by S. G. Brush and published by Elsevier. This book was released on 2013-10-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Macroscopic Transport Equations for Rarefied Gas Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 3540323864
Total Pages : 262 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Macroscopic Transport Equations for Rarefied Gas Flows by : Henning Struchtrup

Download or read book Macroscopic Transport Equations for Rarefied Gas Flows written by Henning Struchtrup and published by Springer Science & Business Media. This book was released on 2006-06-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Scaling Limits and Models in Physical Processes

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Publisher : Birkhäuser
ISBN 13 : 3034888104
Total Pages : 192 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Scaling Limits and Models in Physical Processes by : Carlo Cercignani

Download or read book Scaling Limits and Models in Physical Processes written by Carlo Cercignani and published by Birkhäuser. This book was released on 2012-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of non-equilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an up-to-date and detailed overview to this very active area of research and is intended as an accessible introduction for non-specialists and graduate students in mathematics, physics and engineering.

Mathematical Methods in Particle Transport Theory

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Publisher : Butterworths
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Mathematical Methods in Particle Transport Theory by : Michael Maurice Rudolph Williams

Download or read book Mathematical Methods in Particle Transport Theory written by Michael Maurice Rudolph Williams and published by Butterworths. This book was released on 1971 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Aspects of Plasma Chemical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441981721
Total Pages : 365 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fundamental Aspects of Plasma Chemical Physics by : Mario Capitelli

Download or read book Fundamental Aspects of Plasma Chemical Physics written by Mario Capitelli and published by Springer Science & Business Media. This book was released on 2013-04-02 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Aspects of Plasma Chemical Physics: Transport develops basic and advanced concepts of plasma transport to the modern treatment of the Chapman-Enskog method for the solution of the Boltzmann transport equation. The book invites the reader to consider actual problems of the transport of thermal plasmas with particular attention to the derivation of diffusion- and viscosity-type transport cross sections, stressing the role of resonant charge-exchange processes in affecting the diffusion-type collision calculation of viscosity-type collision integrals. A wide range of topics is then discussed including (1) the effect of non-equilibrium vibrational distributions on the transport of vibrational energy, (2) the role of electronically excited states in the transport properties of thermal plasmas, (3) the dependence of transport properties on the multitude of Saha equations for multi-temperature plasmas, and (4) the effect of the magnetic field on transport properties. Throughout the book, worked examples are provided to clarify concepts and mathematical approaches. This book is the second of a series of three published by the Bari group on fundamental aspects of plasma chemical physics. The first book, Fundamental Aspects of Plasma Chemical Physics: Thermodynamics, is dedicated to plasma thermodynamics; and the third, Fundamental Aspects of Plasma Chemical Physics: Kinetics, deals with plasma kinetics.

Analytical Methods for Problems of Molecular Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 1402058659
Total Pages : 409 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analytical Methods for Problems of Molecular Transport by : I.N. Ivchenko

Download or read book Analytical Methods for Problems of Molecular Transport written by I.N. Ivchenko and published by Springer Science & Business Media. This book was released on 2007-08-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a superb tool in virtually all application areas involving the Kinetic Theory of Gases, Rarefied Gas Dynamics, Transport Theory, and Aerosol Mechanics. It has been especially designed to serve a dual function, both as a teaching instrument either in a classroom environment or at home, and as a reference for scientists and engineers working in the fields of Rarefied Gas Dynamics and Aerosol Mechanics.