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Author : Thomas George Richardson
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (239 download)
Download or read book Model Equations for the Sound Propagation Problem in Kinetic Theory written by Thomas George Richardson and published by . This book was released on 1970 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence Sirovich
Publisher : Forgotten Books
ISBN 13 : 9781330370292
Total Pages : 104 pages
Book Rating : 4.3/5 (72 download)
Download or read book The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory written by Lawrence Sirovich and published by Forgotten Books. This book was released on 2015-06-25 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory The one dimensional initial value problem of a monatomic single component gas is considered. Using the linearized Boltzmann equation the dispersion relation is studied. In addition to the usual gas dynamic sound waves one finds an infinity of decaying propagating waves. The phenomenon naturally exhibits itself as a sequence of epochs, the last stage of which is hydrodynamic. With reference to the same problem macroscopic equations such as Euler, Navier-Stokes, Burnett, Grad's moments equations, etc., are considered. In addition the recently considered "kinetic models" of Gross et al. are applied to the problem. These various formulations are critically analyzed and compared with each other and with the Boltzmann analysis. Lastly, several alternate molecular and macroscopic equations are offered which remedy some of the shortcomings which appear in the above mentioned approximate theories. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Lawrence Sirovich
Publisher : Forgotten Books
ISBN 13 : 9780267800636
Total Pages : 104 pages
Book Rating : 4.8/5 (6 download)
Download or read book The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (Classic Reprint) written by Lawrence Sirovich and published by Forgotten Books. This book was released on 2018-02-04 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory Stokes equations as an approximation to the Boltzmann equation. His objection is warranted by the fact that the Navier - Stokes equations apply to a wider range of fluids than does the Boltzmann equation. We, however, restrict our attantion to gases, in which case the Euler equations, Navier - Stokes equa tions, and Burnett equations can be thought of as being extracted from the Boltzmann equation by the chapman-enskog procedure as given, for instance, in the cited reference. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Lawrence Sirovich
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory written by Lawrence Sirovich and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The one dimensional initial value problem of a monatomic single component gas is considered. Using the linearized Boltzmann equation the dispersion relation is studied. In addition to the usual gas dynamic sound waves one finds an infinity of decaying propagating waves. The phenomenon naturally exhibits itself as a sequence of epochs, the last stage of which is hydrodynamic. With reference to the same problem macroscopic equations such as Euler, NavierStokes, Burnett, Grad's moments equations, etc., are considered. In addition the recently considered kinetic models of Gross (Phys. Fluids 2:432, (1959)) are applied to the problem. These various formulations are critically analyzed and compared with each other and with the Boltzmann analysis. Lastly, several alternate molecular and macroscopic equations are offered whic remedy some of the shortcomings which appear in the above mentioned approximate theories. (Author).
Author : C. Cercignani
Publisher : Springer Science & Business Media
ISBN 13 : 1489972919
Total Pages : 262 pages
Book Rating : 4.4/5 (899 download)
Download or read book Mathematical Methods in Kinetic Theory written by C. Cercignani and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. G. Brush
Publisher : Elsevier
ISBN 13 : 1483145859
Total Pages : 294 pages
Book Rating : 4.4/5 (831 download)
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.
Author : Boris V. Alexeev
Publisher : Elsevier
ISBN 13 : 0080478018
Total Pages : 377 pages
Book Rating : 4.0/5 (84 download)
Download or read book Generalized Boltzmann Physical Kinetics written by Boris V. Alexeev and published by Elsevier. This book was released on 2004-05-25 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most important result obtained by Prof. B. Alexeev and reflected in the book is connected with new theory of transport processes in gases, plasma and liquids. It was shown by Prof. B. Alexeev that well-known Boltzmann equation, which is the basement of the classical kinetic theory, is wrong in the definite sense. Namely in the Boltzmann equation should be introduced the additional terms which generally speaking are of the same order of value as classical ones. It leads to dramatic changing in transport theory. The coincidence of experimental and theoretical data became much better. Particularly it leads to the strict theory of turbulence and possibility to calculate the turbulent flows from the first principles of physics.·Boltzmann equation (BE) is valid only for particles, which can be considered as material points, generalized Boltzmann equation (GBE) removes this restriction.·GBE contains additional terms in comparison with BE, which cannot be omitted·GBE leads to strict theory of turbulence·GBE gives all micro-scale turbulent fluctuations in tabulated closed analytical form for all flows ·GBE leads to generalization of electro-dynamic Maxwell equations·GBE gives new generalized hydrodynamic equations (GHE) more effective than classic Navier-Stokes equations·GBE can be applied for description of flows for intermediate diapason of Knudsen numbers·Asymptotical solutions of GBE remove contradictions in the theory of Landau damping in plasma
Author : David Kahn
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (227 download)
Download or read book Kinetic Theory of Sound Propagation in Rarefied Gases written by David Kahn and published by . This book was released on 1964 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of sound propagation in highly rarefied monatomic gases is investigated from the point of view of general orthogonal polynomial solutions (in velocity space) of the Boltzmann equation. It is shown that the usual expansion solutions of the Boltzmann equation (Chapman-Enskog-Burnett, and Grad) are not valid for this problem. Solutions, instead, are obtained by means of an expansion of the distribution function in a set of velocity polynomials which have been orthogonalized with respect to a zero-order distribution function characteristic of a collisionless gas, rather than a Maxwell distribution function as is usually done. These solutions are used to derive absorption and dispersion functions characterizing the sound propagation. These are shown to be in agreement with experimental data for the problem. (Author).
Author : James Thurber
Publisher : Franklin Classics Trade Press
ISBN 13 : 9780353291652
Total Pages : 110 pages
Book Rating : 4.2/5 (916 download)
Download or read book Sound Propagation According to Kinetic Models written by James Thurber and published by Franklin Classics Trade Press. This book was released on 2018-11-11 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Lawrence Sirovich
Publisher :
ISBN 13 : 9781332198368
Total Pages : 116 pages
Book Rating : 4.1/5 (983 download)
Download or read book Sound Propagation According to Kinetic Models written by Lawrence Sirovich and published by . This book was released on 2015-08-05 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Sound Propagation According to Kinetic Models: Aec Research and Development Report, August 15, 1961 This report was prepared as an account of Government sponsored work. Neither the United States, nor the Commission, nor any person acting on behalf of the Commission: A. Makes any warranty or representation, express or implied, with respect to the accuracy, completeness, or usefulness of the information contained in this report, or that the use of any information, apparatus, method, or process disclosed in this report may not infringe privately owned rights; or B. Assumes any liabilities with respect to the use of, or for damages resulting from the use of any information, apparatus, method, or process disclosed in this report. As used In the above, "person acting on behalf of the Commission" includes any employee or contractor of the Commission, or employee of such contractor, to the extent that such employee or contractor of the Commission, or employee of such contractor prepares, disseminates, or provides access to, any information pursuant to his employment or contract with the Commission, or his employment with such contractor. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Chʻêng-shu Wang Chang
Publisher : North-Holland
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.F/5 ( download)
Download or read book The Kinetic Theory of Gases written by Chʻêng-shu Wang Chang and published by North-Holland. This book was released on 1970 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thierry Passot
Publisher : American Mathematical Soc.
ISBN 13 : 0821837230
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Kinetic Theory written by Thierry Passot and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.
Author : Stephen G. Brush
Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (318 download)
Download or read book Kinetic Theory: The Chapman-Enskog solution of the transport equation for moderately dense gases written by Stephen G. Brush and published by . This book was released on 1972 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 836 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John William Strutt Baron Rayleigh
Publisher :
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Theory of Sound written by John William Strutt Baron Rayleigh and published by . This book was released on 1896 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard P. Feynman
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures On Computation written by Richard P. Feynman and published by Addison-Wesley Longman. This book was released on 1996-09-08 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Author : E. Becker
Publisher : Springer Science & Business Media
ISBN 13 : 3642655904
Total Pages : 375 pages
Book Rating : 4.6/5 (426 download)
Download or read book Theoretical and Applied Mechanics written by E. Becker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Thirteenth International Congress of Theoretical and Applied Mechanics was held in Moscow from Monday, 21 August, to Saturday, 26 August 1972. About 2500 participants from 37 countries all over the world attended the congress that was convened by the Congress Committee of the International Union of Theoretical and Applied Mechanics. The local or ganization lay in the hands of the Organizing Committee, established by the USSR National Committee on Theoretical and Applied Mechanics. The USSR Academy of Sciences rendered partial financial help to the organization of th8 congress. The Organizing Committee was assisted by the Institute of Problems of Mechanics of the USSR Academy of Sciences, by the Research Institute for Mechanics of Moscow University, and by the Computing Center and the Institute of Applied Mathematics of the USSR Academy of Sciences. The Bureau of IUTAM had allocated a considerable sum for partial financial support of young scientists attending the congress. The Thirteenth Congress was officially opened on Monday morning at the Kremlin Palace of Congresses by Academician N. 1. Muskhelishvili, President of the Congress, and Professor W. T. Koiter, President of IUTAM. Greeting addresses were offered by: Mr. K. N. Rudnev, Minister, member of the Council of Ministers of the USSR, Academician M. V. Keldysh, President of the USSR Academy of Sciences, Mr. L. N.
