Calculation Of Collision Integrals In The Moment Equations

DOWNLOAD

Download Calculation Of Collision Integrals In The Moment Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Calculation Of Collision Integrals In The Moment Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Calculation Of Collision Integrals In The Moment Equations

DOWNLOAD
Author : Kurt Suchy
language : en
Publisher:
Release Date : 1963

Calculation Of Collision Integrals In The Moment Equations written by Kurt Suchy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.

Calculations Of Collision Integrals In The Moment Equations

DOWNLOAD
Author : Kurt Suchy
language : en
Publisher:
Release Date : 1961

Calculations Of Collision Integrals In The Moment Equations written by Kurt Suchy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.

For the calculation of the collision integrals in the moment equations Weitzsch's ansatz is made for the velocity distribution functions being represented as integral superposition of Gaussian distributions. Its weighting function must contain a finite number of velocity independent parameters for the treatment of problems with strong deviations from equilibrium. For weak deviations a series expansion yields Grad's expansion of the distribution function in tensorial Hermite polynomials. The moment equations with their collision integrals are established up to the third order and the transport cross sections occurring therein are calculated for inverse power interaction potentials. (Author).

Calculation Of Standard Integrals In Moment Kinetic Equations Vychislenie Standartnykh Integralov V Momentnykh Kineticheskikh Uravneniyakh

DOWNLOAD
Author : E. V. Alekseeva
language : en
Publisher:
Release Date : 1967

Calculation Of Standard Integrals In Moment Kinetic Equations Vychislenie Standartnykh Integralov V Momentnykh Kineticheskikh Uravneniyakh written by E. V. Alekseeva and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

The method of kinetic moment equations permits the evaluation of a significant number of quadratures using an analytic form which is identical for the entire class of problems covered by the integral kinetic operator of the aerodynamics of rarified gases. Such quadratures represent a contribution to the solution of all kinetic problems since they refer to that part of the development which can be covered using general procedures. The physical content and universal character of such quadratures makes the study of their internal structure worthwhile. The paper presents the evaluation of these integrals appearing during Hermite polynomial expansions of the collision and generating functions within a monatomic gas. (Author).

Collision Integrals For A Modified Stockmayer Potential

DOWNLOAD
Author : Eugene C. Itean
language : en
Publisher:
Release Date : 1961

Collision Integrals For A Modified Stockmayer Potential written by Eugene C. Itean and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Collision integrals categories.

Collision integrals were calculated for the modified Stockmayer potential E(r) = 4 epsilon [(sigma/r)(exp 12) - (sigma/r)(exp 6) - delta(sigma/r)(exp 3)], which may be applied to polar molecules. It was assumed that the colliding molecules maintain their same relative orientation during the encounter. Calculations of the integrals were made for a large reduced temperature range and for a range of delta from 0 to 10. The results agree with other work on non-polar interactions (delta = 0). However for polar interactions the only previously published calculations have been found to be in error and do not agree with this work. Assuming that the molecules interact as alined dipoles of maximum attraction, values for sigma, epsilon, and delta were determined for various polar molecules by a least squares fit of experimental viscosity data. Satisfactory results were obtained for slightly polar molecules, but not for more highly polar molecules such as NH3 or H2O. Therefore, it appears that the assumed model of molecules interacting at all times as alined dipoles of maximum attraction is not satisfactory for estimating trans- port properties of polar molecules.

An Introduction To The Theory Of The Boltzmann Equation

DOWNLOAD
Author : Stewart Harris
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

An Introduction To The Theory Of The Boltzmann Equation written by Stewart Harris and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.

This introductory graduate-level course for students of physics and engineering features detailed presentations of Boltzmann's equation, including applications using both Boltzmann's equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory and offers a practical resource for researchers and other professionals. 1971 edition.

Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows

DOWNLOAD
Author : V.V. Aristov
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-01-31

Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows written by V.V. Aristov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-31 with Science categories.

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.

Collision Integrals And The Generalized Kinetic Equation For Charged Particle Beams

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1998

Collision Integrals And The Generalized Kinetic Equation For Charged Particle Beams written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

In the present paper we study the role of particle interactions on the evolution of a high energy beam. The interparticle forces taken into account are due to space charge alone. We derive the collision integral for a charged particle beam in the form of Balescu-Lenard and Landau and consider its further simplifications. Finally, the transition to the generalized kinetic equation has been accomplished by using the method of adiabatic elimination of fast variables.

Modifications To Fourier S Law Of Heat Conduction Through The Use Of A Simple Collision Model

DOWNLOAD
Author : Willard E. Meador
language : en
Publisher:
Release Date : 1970

Modifications To Fourier S Law Of Heat Conduction Through The Use Of A Simple Collision Model written by Willard E. Meador and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Fourier analysis categories.

Macroscopic Transport Equations For Rarefied Gas Flows

DOWNLOAD
Author : Henning Struchtrup
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-15

Macroscopic Transport Equations For Rarefied Gas Flows written by Henning Struchtrup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-15 with Science categories.

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.

Hydrodynamic Limits Of The Boltzmann Equation

DOWNLOAD
Author : Laure Saint-Raymond
language : en
Publisher: Springer
Release Date : 2009-04-20

Hydrodynamic Limits Of The Boltzmann Equation written by Laure Saint-Raymond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Science categories.

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.