Download or read book The Initial Value Problem Sound Propagation and Modeling in Kinetic Theory written by Lawrence Sirovich and published by Palala Press. This book was released on 2015-09-09 with total page 98 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
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.
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).
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