Transport Coefficients Of Dense Fluid Systems
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| Author | : Byung Chan Eu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 408 |
| Release | : 2006-09-08 |
| Genre | : Science |
| ISBN | : 3540282165 |
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.
| Author | : K. Stephan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 273 |
| Release | : 2013-06-29 |
| Genre | : Technology & Engineering |
| ISBN | : 1475769318 |
The physical properties of fluids are perhaps among the most extensively investigated physical constants of any single group of materials. This is particularly true of the thermodynamic prop erties of pure substances since the condition of thermodynamic equilibrium provides the simplest considerations for experimental measurement as well as theoretical treatment. In the case of non equilibrium transport properties, the situation is significantly complicated by the necessity of measurement of gradients in the experiment and the mathematical difficulties in handling non equilibrium distribution functions in theoretical treatments. Hence, our knowledge of the trans port properties of gases and liquids is perhaps one order of magnitude lower than for equilibrium thermodynamic properties. This situation is very much apparent when examining the available nu merical data on the viscosity of fluids particularly at high pressures. In this work, the authors have performed an outstanding contribution to the engineering literature by their critical evaluation of the pressure dependence of the available data on the viscosity of selected substances. The recommended values reported in the tables and figures also incorporate the saturated liquid and gas states as well as the data of the dilute gas in an attempt to integrate the present work with the recently published work by CINDAS/Purdue University on the viscosity of fluids at low pressures [166]. A deliberate effort was made to treat as many of the substances in the CINDAS volume as possible for which adequate high pressure data exist.
| Author | : Liudmila A Pozhar |
| Publisher | : World Scientific |
| Total Pages | : 186 |
| Release | : 1995-01-16 |
| Genre | : Science |
| ISBN | : 9814590851 |
Until recently, the Mori-Zwanzig projection operator method, though powerful and simple, has been considered as a half-heuristic one. This book is devoted to a rigorous generalization of this method as well as its applications to nonequilibrium statistical mechanics. The well-known idea of the description of dynamical system evolution in terms of collective dynamical variables has been developed to a functional perturbation theory, which results in the master equation of any given accuracy. Examples of statistical mechanics applications of the method include a linearized transport theory and explicit expressions for transport coefficients of both homogeneous and inhomogeneous liquids, which are in good agreement with experimental data and simulation results.
| Author | : W.G. Hoover |
| Publisher | : Elsevier |
| Total Pages | : 330 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0444596593 |
Computational Statistical Mechanics describes the use of fast computers to simulate the equilibrium and nonequilibrium properties of gases, liquids, and solids at, and away from equilibrium. The underlying theory is developed from basic principles and illustrated by applying it to the simplest possible examples. Thermodynamics, based on the ideal gas thermometer, is related to Gibb's statistical mechanics through the use of Nosé-Hoover heat reservoirs. These reservoirs use integral feedback to control temperature. The same approach is carried through to the simulation and analysis of nonequilibrium mass, momentum, and energy flows. Such a unified approach makes possible consistent mechanical definitions of temperature, stress, and heat flux which lead to a microscopic demonstration of the Second Law of Thermodynamics directly from mechanics. The intimate connection linking Lyapunov-unstable microscopic motions to macroscopic dissipative flows through multifractal phase-space structures is illustrated with many examples from the recent literature. The book is well-suited for undergraduate courses in advanced thermodynamics, statistical mechanic and transport theory, and graduate courses in physics and chemistry.
| Author | : Suresh K. Bhatia |
| Publisher | : MDPI |
| Total Pages | : 261 |
| Release | : 2019-01-25 |
| Genre | : Science |
| ISBN | : 303897529X |
This book is a printed edition of the Special Issue "Transport of Fluids in Nanoporous Materials" that was published in Processes
| Author | : Angel Mulero |
| Publisher | : Springer |
| Total Pages | : 568 |
| Release | : 2008-07-10 |
| Genre | : Science |
| ISBN | : 3540787674 |
Hard spheres and related objects (hard disks and mixtures of hard systems) are paradigmatic systems: indeed, they have served as a basis for the theoretical and numerical development of a number of fields, such as general liquids and fluids, amorphous solids, liquid crystals, colloids and granular matter, to name but a few. The present volume introduces and reviews some important basics and progress in the study of such systems. Their structure, thermodynamic properties, equations of state, as well as kinetic and transport properties are considered from different and complementary points of view. This book addresses graduate students, lecturers as well as researchers in statistical mechanics, physics of liquids, physical chemistry and chemical engineering.
| Author | : Eduard Feireisl |
| Publisher | : Springer Nature |
| Total Pages | : 299 |
| Release | : 2022-04-01 |
| Genre | : Mathematics |
| ISBN | : 3030947939 |
The goal of this monograph is to develop a mathematical theory of open fluid systems in the framework of continuum thermodynamics. Part I discusses the difference between open and closed fluid systems and introduces the Navier-Stokes-Fourier system as the mathematical model of a fluid in motion that will be used throughout the text. A class of generalized solutions to the Navier-Stokes-Fourier system is considered in Part II in order to show existence of global-in-time solutions for any finite energy initial data, as well as to establish the weak-strong uniqueness principle. Finally, Part III addresses questions of asymptotic compactness and global boundedness of trajectories and briefly considers the statistical theory of turbulence and the validity of the ergodic hypothesis.
| Author | : H.L. Frisch |
| Publisher | : Elsevier |
| Total Pages | : 449 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323149901 |
Simple Dense Fluids is a nine-chapter text that explores the chemistry and physics of simple fluid systems. Simple systems primarily include the noble gases, the homonuclear diatomic molecules, and a select group of some polyatomic but spherically symmetrical molecules. The opening chapter describes the change of thermodynamic functions along the saturation line and how these functions can best be obtained from sets of measurements that are often in conflict, with an emphasis on the functions of three simple liquids: argon, nitrogen, and oxygen. The following chapter outlines the basic thermodynamic and statistical mechanical ideas that have been applied to the liquid-vapor interface, followed by a summary of surface tension data of simple fluids. Considerable chapters are devoted to X-ray, light, and neutron scattering measurements on simple dense fluids. This book further discusses the use of electromagnetic data, especially the dielectric constant and refractive index, in the interpretation of molecular interactions and molecular structure. The available experimental data on several nonpolar liquids and liquid mixtures are also provided. The final chapters survey the nuclear relaxation and spectroscopic data in simple liquids. These chapters also present experimental data relevant to transport phenomena in simple fluids. Workers and researchers in the field of simple dense fluids will find this book of great value.
| Author | : H. J. V. Tyrrell |
| Publisher | : Butterworth-Heinemann |
| Total Pages | : 465 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 1483100898 |
Diffusion in Liquids: A Theoretical and Experimental Study aims to discuss the principles, applications, and advances in the field of diffusion, thermal diffusion, and thermal conduction in liquid systems. The book covers topics such as the principles of non-equilibrium thermodynamics; diffusion in binary and multicompetent systems; and experimental methods of studying diffusion processes in liquids. Also covered in the book are topics such as the theoretical interpretations of diffusion coefficients; hydrodynamic and kinetic theories; and diffusion in electrolyte systems. The text is recommended for physicists who would like to know more about the concepts and updates in the field of diffusion.
| Author | : K. Singer |
| Publisher | : Royal Society of Chemistry |
| Total Pages | : 265 |
| Release | : 1973 |
| Genre | : Reference |
| ISBN | : 0851867502 |
Specialist Periodical Reports provide systematic and detailed review coverage of progress in the major areas of chemical research. Written by experts in their specialist fields the series creates a unique service for the active research chemist, supplying regular critical in-depth accounts of progress in particular areas of chemistry. For over 90 years The Royal Society of Chemistry and its predecessor, the Chemical Society, have been publishing reports charting developments in chemistry, which originally took the form of Annual Reports. However, by 1967 the whole spectrum of chemistry could no longer be contained within one volume and the series Specialist Periodical Reports was born. The Annual Reports themselves still existed but were divided into two, and subsequently three, volumes covering Inorganic, Organic and Physical Chemistry. For more general coverage of the highlights in chemistry they remain a 'must'. Since that time the SPR series has altered according to the fluctuating degree of activity in various fields of chemistry. Some titles have remained unchanged, while others have altered their emphasis along with their titles; some have been combined under a new name whereas others have had to be discontinued. The current list of Specialist Periodical Reports can be seen on the inside flap of this volume.
