Mathematical Theory of Transport Processes in Gases

Mathematical Theory of Transport Processes in Gases PDF Author: Joel H. Ferziger
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 606

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Mathematical Theory of Transport Processes in Gases

Mathematical Theory of Transport Processes in Gases PDF Author: Joel H. Ferziger
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 606

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Book Description


Mathematical Theory of Transport Processes in Gases. [By] J. H. Ferziger and H. G. Kaper

Mathematical Theory of Transport Processes in Gases. [By] J. H. Ferziger and H. G. Kaper PDF Author: Joel H. Ferziger
Publisher:
ISBN:
Category : Kinetic theory of gases
Languages : en
Pages : 579

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An Introduction to the Boltzmann Equation and Transport Processes in Gases

An Introduction to the Boltzmann Equation and Transport Processes in Gases PDF Author: Gilberto M. Kremer
Publisher: Springer Science & Business Media
ISBN: 3642116965
Category : Technology & Engineering
Languages : en
Pages : 313

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Book Description
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

Mathematical Theory of Transport Processes in Gases PDF Author: Joel H. Ferziger
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 604

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The Mathematical Theory of Non-uniform Gases

The Mathematical Theory of Non-uniform Gases PDF Author: Sydney Chapman
Publisher: Cambridge University Press
ISBN: 9780521408448
Category : Mathematics
Languages : en
Pages : 452

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Book Description
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 Theory

Transport Theory PDF Author: Richard Bellman
Publisher: American Mathematical Soc.
ISBN: 9780821813201
Category : Mathematics
Languages : en
Pages : 340

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Book Description
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.

Kinetic Theory

Kinetic Theory PDF Author: S. G. Brush
Publisher: Elsevier
ISBN: 1483145859
Category : Science
Languages : en
Pages : 294

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Book Description
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.

The Mathematical Theory of Dilute Gases

The Mathematical Theory of Dilute Gases PDF Author: Carlo Cercignani
Publisher: Springer Science & Business Media
ISBN: 1441985247
Category : Science
Languages : en
Pages : 357

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Book Description
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.

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

Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows PDF Author: V.V. Aristov
Publisher: Springer Science & Business Media
ISBN: 9401008663
Category : Science
Languages : en
Pages : 305

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Book Description
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.

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Lecture Notes on the Mathematical Theory of the Boltzmann Equation PDF Author: N. Bellomo
Publisher: World Scientific
ISBN: 9789810221669
Category : Science
Languages : en
Pages : 276

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Book Description
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.