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| Author | : R H Kraichnan |
| Publisher | : Palala Press |
| Total Pages | : 52 |
| Release | : 2015-09-07 |
| Genre | : |
| ISBN | : 9781341849190 |
Download Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence Book in PDF, ePub and Kindle
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.
| Author | : Robert H. Kraichnan |
| Publisher | : Forgotten Books |
| Total Pages | : 54 |
| Release | : 2017-09-15 |
| Genre | : Science |
| ISBN | : 9781528561051 |
Download Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence (Classic Reprint) Book in PDF, ePub and Kindle
Excerpt from Statistical Mechanics of Stationary Homogeneous Hydromagnetic Turbulence A third difference between a turbulent fluid and a dilute gas is that the Fourier modes of the fluid all enter differently into the equations of motion. The distribution function must exhibit a much smaller degree of degeneracy than that for a gas of identical particles. 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 | : ROBERT H. KRAICHNAN |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2018 |
| Genre | : |
| ISBN | : 9781033080528 |
Download STATISTICAL MECHANICS OF STATIONARY HOMOGENEOUS HYDROMAGNETIC TURBULENCE. Book in PDF, ePub and Kindle
| Author | : Stanford University. Department of Aeronautics and Astronautics |
| Publisher | : |
| Total Pages | : 106 |
| Release | : 1965 |
| Genre | : Turbulence |
| ISBN | : |
Download Statistical Theory of Homogeneous Hydromagnetic Turbulence Book in PDF, ePub and Kindle
The existence of equilibrium ranges in homogeneous hydromagnetic turbulence is analyzed by using Fourier techniques. It is found that the reasons for believing in the existence of the equilibrium range in classical turbulence (non-conducting fluid) also hold for hydromagnetic turbulence. The presence of an external magnetic field has the effect of rendering the turbulence field axisymmetric about those magnetic lines. The second problem considered is the asymptotic form of different correlation tensors at large separation distance in homogeneous hydromagnetic turbulence. The third problem considered is a theory of weak turbulence where one can neglect the role of pressure forces in developing power laws. Lastly, is considered the final period of decay. (Author).
| Author | : W. David McComb |
| Publisher | : OUP Oxford |
| Total Pages | : 429 |
| Release | : 2014-02-27 |
| Genre | : Mathematics |
| ISBN | : 0191003611 |
Download Homogeneous, Isotropic Turbulence Book in PDF, ePub and Kindle
Fluid turbulence is often referred to as `the unsolved problem of classical physics'. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.
| Author | : John V. Shebalin |
| Publisher | : |
| Total Pages | : 136 |
| Release | : 2002 |
| Genre | : Ergodic theory |
| ISBN | : |
Download The Statistical Mechanics of Ideal Homogeneous Turbulence Book in PDF, ePub and Kindle
Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).
| Author | : R. H. Kraichnan |
| Publisher | : Palala Press |
| Total Pages | : 24 |
| Release | : 2018-02-20 |
| Genre | : History |
| ISBN | : 9781378225899 |
Download Relation of Fourth to Second Moments in Stationary Homogeneous Hydromagnetic Turbulence Book in PDF, ePub and Kindle
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.
| Author | : Shih-I. Pai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 207 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 370918083X |
Download Magnetogasdynamics and Plasma Dynamics Book in PDF, ePub and Kindle
This book is based on the lecture notes which the author gave in a seminar of the same title in the Institut fur theoretische Gasdynamik, D. V. L. e. V., Aachen, Germany, during the academic year of 1957-1958. The subject matter has been rewritten and expanded after the author's return to the University of Maryland. The purpose of this book is to give a theoretical introduction to plasma dynamics and magnetogasdynamics from the gasdynamic point of view. Attention is given to the basic assumptions and the formulation of the theory of the flow problems of a plasma, an ionized gas, as well as to the various methods of solving these problems. Since plasma dynamics is still in a developing stage, the author hopes that this book _may furnish the readers some basic elements in the theory of plasma -dynamics so that they may find it useful for further study and research in this new field. After the introduction in which the scope of plasma. dynamics is briefly discussed, the fundamental equations of plasma dynamics from the macro scopic point of view, i. e., the theory of continuum has been analyzed, in detail in chapters IT to IV, including many simplified cases sUQh as m,agneto gasdynamics, magnetohydrodynamics, electromaguetodynamics, radiation magnetogasdynamics etc. In chapter V, the important parameters and their range of applicatIons have been treated. The parameters are useful in the correlation of experi mental results.
| Author | : Robert H. Kraichnan |
| Publisher | : Forgotten Books |
| Total Pages | : 32 |
| Release | : 2017-11-24 |
| Genre | : Science |
| ISBN | : 9780331838985 |
Download Relation of Fourth to Second Moments in Stationary Homogeneous Hydromagnetic Turbulence (Classic Reprint) Book in PDF, ePub and Kindle
Excerpt from Relation of Fourth to Second Moments in Stationary Homogeneous Hydromagnetic Turbulence If the Fourier coefficient F(0) vanishes, the conditions fi(0), ryo) O are preserved by the equations of motion. The various equations of motion (2.1h) may be integrated with respect to time to yield integral equations. From and (2.1h) one obtains, respectively. 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 | : A. S. Monin |
| Publisher | : Courier Corporation |
| Total Pages | : 898 |
| Release | : 2013-07-25 |
| Genre | : Science |
| ISBN | : 0486318141 |
Download Statistical Fluid Mechanics, Volume II Book in PDF, ePub and Kindle
"If ever a field needed a definitive book, it is the study of turbulence; if ever a book on turbulence could be called definitive, it is this book." — Science Written by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. The first volume begins with an outline of laminar and turbulent flow. The remainder of the book treats a variety of aspects of turbulence: its statistical and Lagrangian descriptions, shear flows near surfaces and free turbulence, the behavior of thermally stratified media, and diffusion. Volume Two continues and concludes the presentation. Topics include spectral functions, homogeneous fields, isotropic random fields, isotropic turbulence, self-preservation hypotheses, spectral energy transfer, the Millionshchikov hypothesis, acceleration fields, equations for higher moments and the closure problem, and turbulence in a compressible fluid. Additional subjects include general concepts of the local structure of turbulence at high Reynolds numbers, the theory of fully developed turbulence, the propagation of electromagnetic and acoustic waves through a turbulent medium, and the twinkling of stars. The book closes with a discussion of the functional formulation of the problem of turbulence, presenting the equations for the characteristic functional and methods for their solution.
