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Method Of Calculation Of Flow Of Rarefied Gas


Method Of Calculation Of Flow Of Rarefied Gas
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Method Of Calculation Of Flow Of Rarefied Gas


Method Of Calculation Of Flow Of Rarefied Gas
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Author : B. V. Kuksenko
language : en
Publisher:
Release Date : 1964

Method Of Calculation Of Flow Of Rarefied Gas written by B. V. Kuksenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.


A method is indicated for constructing, proceeding from the integral equation f = V(f), systems of equations for many functions with small numbers of independent variables, whose detection is sufficient for the approximate solution of problems of aerodynamics of rarefied gases. In the particular case when a gas (model of molecule of which is an absolutely elastic smooth sphere) occupies the entire space and there are no streamlined bodies in it, such construction is carried to the end. A system of equations for one-dimensional nonstationary problems is presented. (Author).



Rarefied Gas Dynamics


Rarefied Gas Dynamics
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Author : Ching Shen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Rarefied Gas Dynamics written by Ching Shen 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 2006-03-30 with Science categories.


Aerodynamics is a science engaged in the investigation of the motion of air and other gases and their interaction with bodies, and is one of the most important bases of the aeronautic and astronautic techniques. The continuous improvement of the configurations of the airplanes and the space vehicles aid the constant enhancement of their performances are closely related with the development of the aerodynamics. In the design of new flying vehicles the aerodynamics will play more and more important role. The undertakings of aeronautics and astronautics in our country have gained achievements of world interest, the aerodynamics community has made outstanding contributions for the development of these undertakings and the science of aerodynamics. To promote further the development of the aerodynamics, meet the challenge in the new century, summary the experience, cultivate the professional personnel and to serve better the cause of aeronautics and astronautics and the national economy, the present Series of Modern Aerodynamics is organized and published.



Rarefied Gas Dynamics


Rarefied Gas Dynamics
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Author : O.M. Belotserkovskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Rarefied Gas Dynamics written by O.M. Belotserkovskii 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 2013-06-29 with Science categories.


100 keV) of neutral hydrogen 7 atoms . The design of the cesium jettarget intended to achieve the 7 following goals : - Supersonic nozzle - cooled skimmer system to increase the fraction 8 of the total nozzle flux Jn which is used as the jettarget flux Jt, 8 = Jt/Jn, from low values 8



Rarefied Gas Dynamics


Rarefied Gas Dynamics
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Author : Maurice N. Kogan
language : en
Publisher: Springer
Release Date : 2013-11-11

Rarefied Gas Dynamics written by Maurice N. Kogan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.




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


Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows
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Author : V.V. Aristov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

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 2012-12-06 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.



Numerical Methods In The Theory Of Rarefied Gases


Numerical Methods In The Theory Of Rarefied Gases
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Author : Vsevolod Pavlovich Shidlovskiĭ
language : en
Publisher:
Release Date : 1972

Numerical Methods In The Theory Of Rarefied Gases written by Vsevolod Pavlovich Shidlovskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Gas dynamics categories.




Numerical Simulation Of Rarefied Gas Flows Based On The Kinetic Approach


Numerical Simulation Of Rarefied Gas Flows Based On The Kinetic Approach
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Author : Alexey Polikarpov
language : en
Publisher:
Release Date : 2011

Numerical Simulation Of Rarefied Gas Flows Based On The Kinetic Approach written by Alexey Polikarpov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.


This work is devoted to the development of the numerical resolution of the kinetic model equations such as BGK, S-model, ES-model by the discrete velocity method. The different approximations of the Boltzmann equation are presented.



Introduction To The Dynamics Of Rarefied Gases


Introduction To The Dynamics Of Rarefied Gases
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Author : Vsevolod Pavlovich Shidlovskiĭ
language : en
Publisher:
Release Date : 1967

Introduction To The Dynamics Of Rarefied Gases written by Vsevolod Pavlovich Shidlovskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Gas dynamics categories.




Macroscopic Transport Equations For Rarefied Gas Flows


Macroscopic Transport Equations For Rarefied Gas Flows
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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.



A State Of The Art Survey Of The Mechanics Of Rarefied Gas Flows Part I Fundamental Equations


A State Of The Art Survey Of The Mechanics Of Rarefied Gas Flows Part I Fundamental Equations
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Author : K. S. Nagaraja
language : en
Publisher:
Release Date : 1973

A State Of The Art Survey Of The Mechanics Of Rarefied Gas Flows Part I Fundamental Equations written by K. S. Nagaraja and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.


Several theoretical methods which are adopted for solving the problems of rarefied gas flows are explored in this theory. As the analytic approaches are based on the elements of probability laws and kinetic theory, a review of the method of classical and statistical mechanics is given. After deriving the classical Boltzmann equation for dilute gases starting with the Liouville's equation, some approximate analytical methods of solving the Boltzmann equation are discussed. The approximate analytical methods involve either expansions, in appropriate ways, of the molecular velocity distribution functions, or physical modeling of the collisional integrals of the Boltzmann equation. Some comments of the computational techniques are made in part 1, and more detailed information about these techniques will be provided in part 2 of the survey to be published in the near future. (Author).