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Author : Charles Allen Brau
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (769 download)
Download or read book Models for Collision Processes in Polyatomic Gases written by Charles Allen Brau and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Behnam Rahimi
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (951 download)
Download or read book A Macroscopic Approach to Model Rarefied Polyatomic Gas Behavior written by Behnam Rahimi and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-order macroscopic model for the accurate description of rarefied polyatomic gas flows is introduced based on a simplified kinetic equation. The different energy exchange processes are accounted for with a two term collision model. The order of magnitude method is applied to the primary moment equations to acquire the optimized moment definitions and the final scaled set of Grad's 36 moment equations for polyatomic gases. The proposed kinetic model, which is an extension of the S-model, predicts correct relaxation of higher moments and delivers the accurate Prandtl (Pr) number. Also, the model has a proven H-theorem. At the first order, a modification of the Navier-Stokes-Fourier (NSF) equations is obtained, which shows considerable extended range of validity in comparison to the classical NSF equations in modeling sound waves. At third order of accuracy, a set of 19 regularized PDEs (R19) is obtained. Furthermore, the terms associated with the internal degrees of freedom yield various intermediate orders of accuracy, a total of 13 different orders. Attenuation and speed of linear waves are studied as the first application of the many sets of equations. For frequencies were the internal degrees of freedom are effectively frozen, the equations reproduce the behavior of monatomic gases. Thereafter, boundary conditions for the proposed macroscopic model are introduced. The unsteady heat conduction of a gas at rest and steady Couette flow are studied numerically and analytically as examples of boundary value problems. The results for different gases are given and effects of Knudsen numbers, degrees of freedom, accommodation coefficients and temperature dependent properties are investigated. For some cases, the higher order effects are very dominant and the widely used first order set of the Navier Stokes Fourier equations fails to accurately capture the gas behavior and should be replaced by a higher order set of equations.
Author : Sergei S. Sazhin
Publisher : Springer Nature
ISBN 13 : 3030997464
Total Pages : 603 pages
Book Rating : 4.0/5 (39 download)
Download or read book Droplets and Sprays: Simple Models of Complex Processes written by Sergei S. Sazhin and published by Springer Nature. This book was released on 2022-06-28 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book acts as a guide to simple models that describe some of the complex fluid dynamics, heat/mass transfer and combustion processes in droplets and sprays. Attention is focused mainly on the use of classical hydrodynamics, and a combination of kinetic and hydrodynamic models, to analyse the heating and evaporation of mono- and multi-component droplets. The models were developed for cases when small and large numbers of components are present in droplets. Some of these models are used for the prediction of time to puffing/micro-explosion of composite water/fuel droplets — processes that are widely used in combustion devices to stimulate disintegration of relatively large droplets into smaller ones. The predictions of numerical codes based on these models are validated against experimental results where possible. In most of the models, droplets are assumed to be spherical; some preliminary results of the generalisation of these models to the case of non-spherical droplets, approximating them as spheroids, are presented.
Author : Frederick Latham Arnot
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.3/5 (91 download)
Download or read book Collision Processes in Gases written by Frederick Latham Arnot and published by . This book was released on 1933 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marlies Pirner
Publisher : BoD – Books on Demand
ISBN 13 : 3958260802
Total Pages : 238 pages
Book Rating : 4.9/5 (582 download)
Download or read book Kinetic modelling of gas mixtures written by Marlies Pirner and published by BoD – Books on Demand. This book was released on 2018-07-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the kinetic modelling of gas mixtures. It extends the existing literature in mathematics for one species of gas to the case of gas mixtures. This is more realistic in applications. The presented model for gas mixtures is proven to be consistent meaning it satisfies the conservation laws, it admits an entropy and an equilibrium state. Furthermore, we can guarantee the existence, uniqueness and positivity of solutions. Moreover, the model is used for different applications, for example in plasma physics, for fluids with a small deviation from equilibrium and in the case of polyatomic gases.
Author : Gilberto M. Kremer
Publisher : Springer Science & Business Media
ISBN 13 : 3642116965
Total Pages : 313 pages
Book Rating : 4.6/5 (421 download)
Download or read book An Introduction to the Boltzmann Equation and Transport Processes in Gases written by Gilberto M. Kremer and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers classical kinetic theory of gases, presenting basic principles in a self-contained framework and from a more rigorous approach based on the Boltzmann equation. Uses methods in kinetic theory for determining the transport coefficients of gases.
Author : A. Decoster
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (318 download)
Download or read book Modeling of Collisions written by A. Decoster and published by . This book was released on 1998 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Friedlander
Publisher : Elsevier
ISBN 13 : 0080532926
Total Pages : 829 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2002-07-09 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Tommaso Ruggeri
Publisher : Springer Nature
ISBN 13 : 3030591441
Total Pages : 675 pages
Book Rating : 4.0/5 (35 download)
Download or read book Classical and Relativistic Rational Extended Thermodynamics of Gases written by Tommaso Ruggeri and published by Springer Nature. This book was released on 2021-04-22 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.
Author : Paolo Barbante
Publisher : Springer Nature
ISBN 13 : 9811964629
Total Pages : 286 pages
Book Rating : 4.8/5 (119 download)
Download or read book From Kinetic Theory to Turbulence Modeling written by Paolo Barbante and published by Springer Nature. This book was released on 2023-04-29 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24–28, 2021. Different research areas characterizing the scientific work of Carlo Cercignani have been considered with a particular focus on: mathematical and numerical methods for kinetic equations; kinetic modelling of gas mixtures and polyatomic gases; applications of the Boltzmann equation to electron transport, social phenomena and epidemic spread; turbulence modelling; the Einstein Classical Program; Dynamical Systems Theory.
Author : Alexander V. Bobylev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110551004
Total Pages : 212 pages
Book Rating : 4.1/5 (15 download)
Download or read book Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods written by Alexander V. Bobylev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-09-23 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the solution of kinetic equations.
Author : S. B. Ryali
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (227 download)
Download or read book Collisional Energy Exchange in Polyatomic Molecules written by S. B. Ryali and published by . This book was released on 1983 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Transform Infrared Spectrometry (FTIS) has been used to study several kinds of gas-gas and gas-surface collision processes brought about with and in supersonic free jets in vacuo. Following are some key results: (1) Terminal distributions of rotational energy in free jets of carbon monoxide and carbon dioxide show a non-Boltzmann distribution that can be characterized by a two-temperature model and explained in terms of competition between rotation-rotation and rotation translation transfers. (2) Spectra of CO2 molecules excited by collisions with nitrogen molecules indicated similar two-temperature distributions, possibly due to secondary collisions between excited CO2 and N2. (3) The accommodation of vibrational and rotational energy during collisions between CO, CO2 and NO molecules and hot platinum surfaces has been determined over a range of surface temperatures. (4) Excess internal energies have been determined in nascent CO and CO2 molecules formed respectively by catalytic oxidation of C and CO on a platinum surface. An energy balance indicates that about 1/3 of the available reaction energy is absorbed by the surface, the remainder going mostly into vibrational modes of product molecules.
Author : R. Mukhopadhyay
Publisher : Universities Press
ISBN 13 : 9788173711985
Total Pages : 562 pages
Book Rating : 4.7/5 (119 download)
Download or read book Solid State Physics written by R. Mukhopadhyay and published by Universities Press. This book was released on 1999 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oak Ridge National Laboratory
Publisher :
ISBN 13 :
Total Pages : 2238 pages
Book Rating : 4.3/5 (121 download)
Download or read book Inventory of advanced energy technologies and energy conservation research and development, 1976-1978 written by Oak Ridge National Laboratory and published by . This book was released on 1979 with total page 2238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9781563475184
Total Pages : 344 pages
Book Rating : 4.4/5 (751 download)
Download or read book Progress in Astronautics and Aeronautics written by and published by . This book was released on 2002 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Degond
Publisher : Springer Science & Business Media
ISBN 13 : 0817682007
Total Pages : 360 pages
Book Rating : 4.8/5 (176 download)
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Author : Francesco Salvarani
Publisher : Springer Nature
ISBN 13 : 3030829464
Total Pages : 398 pages
Book Rating : 4.0/5 (38 download)
Download or read book Recent Advances in Kinetic Equations and Applications written by Francesco Salvarani and published by Springer Nature. This book was released on 2022-01-01 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume covers most of the topics addressed and discussed during the Workshop INdAM "Recent advances in kinetic equations and applications", which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.
