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Author : Lawrence William Davis
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.F/5 ( download)
Download or read book The Statistical Basis of Hydrodynamics and Kinetic Theory written by Lawrence William Davis and published by . This book was released on 1960 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Microwave Laboratory
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.F/5 ( download)
Download or read book Statistical Basis of Hydrodynamics and Kinetic Theory written by Stanford University. Microwave Laboratory and published by . This book was released on 1960 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolay Nikolaevich Fimin
Publisher : World Scientific
ISBN 13 : 9811211175
Total Pages : 295 pages
Book Rating : 4.8/5 (112 download)
Download or read book Physical Foundations Of Hydrodynamic Processes, The: Macroscopic And Kinetic Approaches written by Nikolay Nikolaevich Fimin and published by World Scientific. This book was released on 2020-03-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental concept of hydrodynamics as part of theoretical physics and demonstrates the connection of macroscopic approach with the description of properties of fluid motion and microscopic kinetic theory. It also presents recent investigations in instabilities and turbulence theory.
Author : Yoshio Sone
Publisher : Springer Science & Business Media
ISBN 13 : 146120061X
Total Pages : 358 pages
Book Rating : 4.4/5 (612 download)
Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
Author : Matteo Colangeli
Publisher : Springer Science & Business Media
ISBN 13 : 1461463068
Total Pages : 102 pages
Book Rating : 4.4/5 (614 download)
Download or read book From Kinetic Models to Hydrodynamics written by Matteo Colangeli and published by Springer Science & Business Media. This book was released on 2013-03-25 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established “continuum” approach typical of macroscopic laws of physics.The author sheds light on a new method—using invariant manifolds—which addresses a functional equation for the nonequilibrium single-particle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory—or more generally statistical mechanics—and will provide a bridge between a physical and mathematical approach to solve real-world problems.
Author : Byung Chan Eu
Publisher : Springer
ISBN 13 : 3319411470
Total Pages : 609 pages
Book Rating : 4.3/5 (194 download)
Download or read book Kinetic Theory of Nonequilibrium Ensembles, Irreversible Thermodynamics, and Generalized Hydrodynamics written by Byung Chan Eu and published by Springer. This book was released on 2016-08-02 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamentals of irreversible thermodynamics for nonlinear transport processes in gases and liquids, as well as for generalized hydrodynamics extending the classical hydrodynamics of Navier, Stokes, Fourier, and Fick. Together with its companion volume on relativistic theories, it provides a comprehensive picture of the kinetic theory formulated from the viewpoint of nonequilibrium ensembles in both nonrelativistic and, in Vol. 2, relativistic contexts. Theories of macroscopic irreversible processes must strictly conform to the thermodynamic laws at every step and in all approximations that enter their derivation from the mechanical principles. Upholding this as the inviolable tenet, the author develops theories of irreversible transport processes in fluids (gases or liquids) on the basis of irreversible kinetic equations satisfying the H theorem. They apply regardless of whether the processes are near to or far removed from equilibrium, or whether they are linear or nonlinear with respect to macroscopic fluxes or thermodynamic forces. Both irreversible Boltzmann and generalized Boltzmann equations are used for deriving theories of irreversible transport equations and generalized hydrodynamic equations, which rigorously conform to the tenet. All observables described by the so-formulated theories therefore also strictly obey the tenet.
Author : Laure Saint-Raymond
Publisher : Springer
ISBN 13 : 3540928472
Total Pages : 203 pages
Book Rating : 4.5/5 (49 download)
Download or read book Hydrodynamic Limits of the Boltzmann Equation written by Laure Saint-Raymond and published by Springer. This book was released on 2009-04-20 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jianfei Xue (dd)
Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (125 download)
Download or read book On Hydrodynamic Equations and Their Relation to Kinetic Theory and Statistical Mechanics written by Jianfei Xue (dd) and published by . This book was released on 2017 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: We establish conditions on the Hamiltonian evolution of interacting molecules that imply hydrodynamic equations at the limit of infinitely many molecules and show that these conditions are satisfied whenever the solutions of the classical equations for N interacting molecules obey uniform in N bounds. We show that this holds when the initial conditions are bounded and the molecule interaction is weak enough at the initial time. We then obtain hydrodynamic equations that coincide with Maxwell's. We then construct explicit examples of spontaneous energy generation and nonuniqueness for the standard compressible Euler system, with and without pressure, agagin by taking limits of Hamiltonian dynamics as the number of molecules increases to infinity. The examples come from rescaling of well-posed, deterministic systems of molecules that either collide elastically or interact via singular pair potentials. We also obtain Percus macroscopic equation as the limit of a sequence of single systems of N hard rods with the number of hard rods going to infinity. Finally, we establish the strict convexity of the pressure as a thermodynamic limit for continuous systems. As a result we show the existence of a local bijection between macroscopic density, velocity, and energy on one hand and thermodynamic parameters on the other, for continuous systems.
Author : Max Dresden
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (319 download)
Download or read book Kinetic Theory Applied to Hydrodynamics written by Max Dresden and published by . This book was released on 1956 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Max Born
Publisher : CUP Archive
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4./5 ( download)
Download or read book A General Kinetic Theory of Liquids written by Max Born and published by CUP Archive. This book was released on with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (3 download)
Download or read book Problems of Dynamic Theory in Statistical Physics written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and published by . This book was released on 1960 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roberto Monaco
Publisher : World Scientific
ISBN 13 : 981320141X
Total Pages : 432 pages
Book Rating : 4.8/5 (132 download)
Download or read book Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop written by Roberto Monaco and published by World Scientific. This book was released on 1989-04-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Author : Valery Mihailovich Chechetkin
Publisher :
ISBN 13 : 9789811211164
Total Pages : 295 pages
Book Rating : 4.2/5 (111 download)
Download or read book The Physical Foundations of Hydrodynamic Processes written by Valery Mihailovich Chechetkin and published by . This book was released on 2020 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimitri Mihalas
Publisher : Courier Corporation
ISBN 13 : 0486135888
Total Pages : 753 pages
Book Rating : 4.4/5 (861 download)
Download or read book Foundations of Radiation Hydrodynamics written by Dimitri Mihalas and published by Courier Corporation. This book was released on 2013-04-10 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent, informative volume focuses on dynamics of nonradiating fluids, problems involving waves, shocks and stellar winds, physics of radiation, radiation transport, and the dynamics of radiating fluids. 1984 edition.
Author : Francis Harvey Harlow
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theory of Correspondence Between Fluid Dymanics and Particle-and-force Models written by Francis Harvey Harlow and published by . This book was released on 1963 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle-and-Force models for high-speed-computer calculations of fluid dynamics problems have several conceptual advantages over most presently used techniques; in addition, test calculations with several versions have indicated considerable promise for wide application. For these reasons, the analysis presented here was undertaken to demonstrate the basis for expecting success in one class of such models (the completely statistical class) and in addition to show how to choose the interparticle force function to correspond to a given material equation of state. The method of analysis employs a many-particle distribution function equation whose reduction is accomplished through the assumption of two-body forces and of strong correlations with the mean. Primary results include correspondence equations between conservative force function and equation of state, and between dissipative force function and viscous stress. Solutions are given for the first type of correspondence equation, and comparisons are made with previous heuristic studies.
Author :
Publisher :
ISBN 13 :
Total Pages : 1116 pages
Book Rating : 4.3/5 (243 download)
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1961 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Byung Chan Eu
Publisher : Springer Science & Business Media
ISBN 13 : 3540282165
Total Pages : 408 pages
Book Rating : 4.5/5 (42 download)
Download or read book Transport Coefficients of Fluids written by Byung Chan Eu and published by Springer Science & Business Media. This book was released on 2006-09-08 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the density ?uctuation theory of transport coe?cients of simple and complex liquids is described together with the kinetic theory of liquids, the generic van der Waals equation of state, and the modi?ed free volume theory. The latter two theories are integral parts of the density ?- tuation theory, which enables us to calculate the density and temperature dependence of transport coe?cients of liquids from intermolecular forces. The terms nanoscience and bioscience are the catch phrases currently in fashion in science. It seems that much of the fundamentals remaining unsolved or poorly understood in the science of condensed matter has been overshadowed by the frenzy over the more glamorous disciplines of the former, shunned by novices, and are on the verge of being forgotten. The transport coe?cients of liquids and gases and related thermophysical properties of matter appear to be one such area in the science of macroscopic properties of molecular systems and statisticalmechanicsofcondensedmatter. Evennano-andbiomaterials,h- ever, cannot be fully and appropriately understood without ?rm grounding and foundations in the macroscopic and molecular theories of transport pr- ertiesandrelatedthermophysicalpropertiesofmatterinthecondensedphase. Oneisstilldealingwithsystemsmadeupofnotafewparticlesbutamultitude of them, often too many to count, to call them few-body problems that can be understoodwithoutthehelpofstatisticalmechanicsandmacroscopicphysics. In the density ?uctuation theory of transport coe?cients, the basic approach taken is quite di?erent from the approaches taken in the conventional kinetic theories of gases and liquids.
