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Macroscopic Transport Equations for Rarefied Gas Flows

Macroscopic Transport Equations for Rarefied Gas Flows Author Henning Struchtrup
ISBN-10 9783540323860
Release 2006-06-15
Pages 258
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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.



Direct Modeling for Computational Fluid Dynamics

Direct Modeling for Computational Fluid Dynamics Author Kun Xu
ISBN-10 9789814623735
Release 2014-12-23
Pages 336
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Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes. Contents:Direct Modeling for Computational Fluid DynamicsIntroduction to Gas Kinetic TheoryIntroduction to Nonequilibrium Flow SimulationsGas Kinetic SchemeUnified Gas Kinetic SchemeLow Speed Microflow StudiesHigh Speed Flow StudiesUnified Gas Kinetic Scheme for Diatomic GasConclusion Readership: Undergraduate and graduate students, researchers and professionals interested in computational fluid dynamics. Key Features:Direct modeling for CFD is self-contained and unified in presentationIt may be used as an advanced textbook by graduate students and even ambitious undergraduates in computational fluid dynamicsIt is also suitable for experts in CFD who wish to have a new understanding of the fundamental problems in the subject and study alternative approaches in CFD algorithm development and applicationThe explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literatureKeywords:Direct Modeling;Unified Gas Kinetic Scheme;Boltzmann Equation;Kinetic Collision Model;Asymptotic Preserving Method



Mesoscopic Theories of Heat Transport in Nanosystems

Mesoscopic Theories of Heat Transport in Nanosystems Author Antonio Sellitto
ISBN-10 9783319272061
Release 2016-02-03
Pages 170
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This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of nonequilibrium thermodynamics, going beyond the local-equilibrium. The book includes six main chapters, together with a preface and a final section devoted to the future perspectives, as well as an extensive bibliography.



Fundamentals of Rarefied Gas Dynamics

Fundamentals of Rarefied Gas Dynamics Author Felix Sharipov
ISBN-10 9783527413263
Release 2016-01-26
Pages 344
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Aimed at both researchers and professionals who deal with this topic in their routine work, this introduction provides a coherent and rigorous access to the field including relevant methods for practical applications. No preceding knowledge of gas dynamics is assumed.



Trend and Applications of Mathematics to Mechanics

Trend and Applications of Mathematics to Mechanics Author S. Rionero
ISBN-10 9788847003545
Release 2006-09-11
Pages 306
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Trend and Applications of Mathematics to Mechanics has been writing in one form or another for most of life. You can find so many inspiration from Trend and Applications of Mathematics to Mechanics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Trend and Applications of Mathematics to Mechanics book for free.



Thermodynamics and Energy Conversion

Thermodynamics and Energy Conversion Author Henning Struchtrup
ISBN-10 9783662437155
Release 2014-07-02
Pages 597
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This textbook gives a thorough treatment of engineering thermodynamics with applications to classical and modern energy conversion devices. Some emphasis lies on the description of irreversible processes, such as friction, heat transfer and mixing and the evaluation of the related work losses. Better use of resources requires high efficiencies therefore the reduction of irreversible losses should be seen as one of the main goals of a thermal engineer. This book provides the necessary tools. Topics include: car and aircraft engines, including Otto, Diesel and Atkinson cycles, by-pass turbofan engines, ramjet and scramjet; steam and gas power plants, including advanced regenerative systems, solar tower and compressed air energy storage; mixing and separation, including reverse osmosis, osmotic power plants and carbon sequestration; phase equilibrium and chemical equilibrium, distillation, chemical reactors, combustion processes and fuel cells; the microscopic definition of entropy. The book includes about 300 end-of-chapter problems for homework assignments and exams. The material presented suffices for two or three full-term courses on thermodynamics and energy conversion.



Natural Gas Engineering and Safety Challenges

Natural Gas Engineering and Safety Challenges Author G.G. Nasr
ISBN-10 9783319089485
Release 2014-08-02
Pages 402
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Providing a critical and extensive compilation of the downstream processes of natural gas that involve the principle of gas processing , transmission and distribution, gas flow and network analysis, instrumentation and measurement systems and its utilisation, this book also serves to enrich readers understanding of the business and management aspects of natural gas and highlights some of the recent research and innovations in the field. Featuring extensive coverage of the design and pipeline failures and safety challenges in terms of fire and explosions relating to the downstream of natural gas technology, the book covers the needs of practising engineers from different disciplines, who may include project and operations managers, planning and design engineers as well as undergraduate and postgraduate students in the field of gas, petroleum and chemical engineering. This book also includes several case studies to illustrate the analysis of the downstream process in the gas and oil industry. Of interest to researchers is the field of flame and mitigation of explosion: the fundamental processes involved are also discussed, including outlines of contemporary and possible future research and challenges in the different fields.



An Introduction to the Boltzmann Equation and Transport Processes in Gases

An Introduction to the Boltzmann Equation and Transport Processes in Gases Author Gilberto M. Kremer
ISBN-10 3642116965
Release 2010-08-18
Pages 310
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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.



Rarefied Gas Dynamics

Rarefied Gas Dynamics Author
ISBN-10 UCSD:31822036973634
Release 2009
Pages 1185
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Rarefied Gas Dynamics has been writing in one form or another for most of life. You can find so many inspiration from Rarefied Gas Dynamics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Rarefied Gas Dynamics book for free.



Proceedings of the Royal Society of London

Proceedings of the Royal Society of London Author
ISBN-10 UCLA:L0099078453
Release 2009
Pages
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Proceedings of the Royal Society of London has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of the Royal Society of London also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of the Royal Society of London book for free.



Nonequilibrium Gas Dynamics and Molecular Simulation

Nonequilibrium Gas Dynamics and Molecular Simulation Author Iain D. Boyd
ISBN-10 9781107073449
Release 2017-03-23
Pages 400
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"The book is divided into two parts based on the overall goals, with the first part focusing on fundamental considerations, and the second part dedicated to describing computer simulation methods. The first section covers three different areas: (1) kinetic theory, (2) quantum mechanics, and (3) statistical mechanics. Important results from these three areas are then brought together to allow analysis of nonequilibrium processes in a gas based on molecular level considerations. Chapter 1 covers kinetic theory, in which the basic idea is to develop techniques to relate the properties and behavior of particles, representing atoms and molecules, to the fluid mechanical aspects of a gas at the macroscopic level. This requires us to provide a basic definition by what is meant by a particle, and how these particles interact with one another through the mechanism of inter-molecular collisions. This leads us into a discussion of modeling of macroscopic molecular transport processes, such as viscosity and thermal conductivity, that represents one of the first key successes of kinetic theory. We will find that kinetic theory relies on the use of statistical analysis techniques, such as probability density functions, due to the very large volumes of information involved in tracking the behavior of every single particle in a real gas flow"--



Gas Transport in Porous Media

Gas Transport in Porous Media Author Clifford K. Ho
ISBN-10 9781402039621
Release 2006-10-07
Pages 446
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CLIFFORD K. HOAND STEPHEN W. WEBB Sandia National Laboratories, P. O. Box 5800, Albuquerque, NM 87185, USA Gas and vapor transport in porous media occur in a number of important applications includingdryingofindustrialandfoodproducts,oilandgasexploration,environm- tal remediation of contaminated sites, and carbon sequestration. Understanding the fundamental mechanisms and processes of gas and vapor transport in porous media allows models to be used to evaluate and optimize the performance and design of these systems. In this book, gas and vapor are distinguished by their available states at stan- ? dard temperature and pressure (20 C, 101 kPa). If the gas-phase constituent can also exist as a liquid phase at standard temperature and pressure (e. g. , water, ethanol, toluene, trichlorothylene), it is considered a vapor. If the gas-phase constituent is non-condensable at standard temperature and pressure (e. g. , oxygen, carbon di- ide, helium, hydrogen, propane), it is considered a gas. The distinction is important because different processes affect the transport and behavior of gases and vapors in porous media. For example, mechanisms specific to vapors include vapor-pressure lowering and enhanced vapor diffusion, which are caused by the presence of a g- phase constituent interacting with its liquid phase in an unsaturated porous media. In addition, the “heat-pipe” exploits isothermal latent heat exchange during evaporation and condensation to effectively transfer heat in designed and natural systems.



The History of Theoretical Material and Computational Mechanics Mathematics Meets Mechanics and Engineering

The History of Theoretical  Material and Computational Mechanics   Mathematics Meets Mechanics and Engineering Author Erwin Stein
ISBN-10 9783642399053
Release 2013-12-04
Pages 490
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This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.



Numerical Particle in Cell Methods

Numerical  Particle in Cell  Methods Author Yu. N. Grigoryev
ISBN-10 9783110916706
Release 2002-01-01
Pages 252
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Numerical Particle in Cell Methods has been writing in one form or another for most of life. You can find so many inspiration from Numerical Particle in Cell Methods also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Numerical Particle in Cell Methods book for free.



Chemical Reactor Modeling

Chemical Reactor Modeling Author Hugo A. Jakobsen
ISBN-10 9783319050928
Release 2014-04-02
Pages 1535
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Chemical Reactor Modeling closes the gap between Chemical Reaction Engineering and Fluid Mechanics. The second edition consists of two volumes: Volume 1: Fundamentals. Volume 2: Chemical Engineering Applications In volume 1 most of the fundamental theory is presented. A few numerical model simulation application examples are given to elucidate the link between theory and applications. In volume 2 the chemical reactor equipment to be modeled are described. Several engineering models are introduced and discussed. A survey of the frequently used numerical methods, algorithms and schemes is provided. A few practical engineering applications of the modeling tools are presented and discussed. The working principles of several experimental techniques employed in order to get data for model validation are outlined. The monograph is based on lectures regularly taught in the fourth and fifth years graduate courses in transport phenomena and chemical reactor modeling and in a post graduate course in modern reactor modeling at the Norwegian University of Science and Technology, Department of Chemical Engineering, Trondheim, Norway. The objective of the book is to present the fundamentals of the single-fluid and multi-fluid models for the analysis of single and multiphase reactive flows in chemical reactors with a chemical reactor engineering rather than mathematical bias. Organized into 13 chapters, it combines theoretical aspects and practical applications and covers some of the recent research in several areas of chemical reactor engineering. This book contains a survey of the modern literature in the field of chemical reactor modeling.



Rarefied Gas Dynamics

Rarefied Gas Dynamics Author Ching Shen
ISBN-10 3540272305
Release 2006-03-30
Pages 406
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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.



Research Trends in Fluid Dynamics

Research Trends in Fluid Dynamics Author John Leask Lumley
ISBN-10 1563964597
Release 1996-01-01
Pages 328
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This is a report of a meeting sponsored by the National Science Foundation to determine research trends and consequent funding/research needs in fluid dynamics. The book covers major industries, technologies, and environmental issues affected by fluid mechanics, as well as the future research directions that should be undertaken in the field. The text does not only cover research gaps, but the areas touched upon are crucial to the resolution of serious global and regional environmental problems, and will enable important technological and economical developments in the US.