kinetic theory and fluid dynamics modeling and simulation in science engineering and technology

Download Book Kinetic Theory And Fluid Dynamics Modeling And Simulation In Science Engineering And Technology in PDF format. You can Read Online Kinetic Theory And Fluid Dynamics Modeling And Simulation In Science Engineering And Technology here in PDF, EPUB, Mobi or Docx formats.

Kinetic Theory And Fluid Dynamics

Author : Yoshio Sone
ISBN : 9781461200611
Genre : Science
File Size : 57. 34 MB
Format : PDF
Download : 265
Read : 1027

Get This Book


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.

Molecular Gas Dynamics

Author : Yoshio Sone
ISBN : 9780817645731
Genre : Science
File Size : 79. 49 MB
Format : PDF, Docs
Download : 844
Read : 1221

Get This Book


This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. The book, unique in the literature, presents working knowledge, theory, techniques, and typical phenomena in rarefied gases for theoretical development and application. Basic theory is developed in a systematic way and presented in a form easily applied for practical use. In this work, the ghost effect and non-Navier–Stokes effects are demonstrated for typical examples—Bénard and Taylor–Couette problems—in the context of a new framework. A new type of ghost effect is also discussed.

Transport Phenomena And Kinetic Theory

Author : Carlo Cercignani
ISBN : 0817645543
Genre : Science
File Size : 72. 41 MB
Format : PDF, Mobi
Download : 467
Read : 1150

Get This Book


The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Modeling And Computational Methods For Kinetic Equations

Author : Pierre Degond
ISBN : 9780817682002
Genre : Mathematics
File Size : 51. 95 MB
Format : PDF, Mobi
Download : 125
Read : 399

Get This Book


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.

Modeling In Applied Sciences

Author : Nicola Bellomo
ISBN : 9781461205135
Genre : Mathematics
File Size : 80. 79 MB
Format : PDF, ePub
Download : 389
Read : 1286

Get This Book


Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.

Multicomponent Flow Modeling

Author : Vincent Giovangigli
ISBN : 0817640487
Genre : Mathematics
File Size : 74. 89 MB
Format : PDF
Download : 423
Read : 416

Get This Book


Designed to provide detailed presentation of the governing equations-including the expression of multicomponent transport coefficients-obtained from the kinetic theory of gases. Discusses symmetric formulations of the governing equations, that are important from a theoretical and numerical point of view. DLC: Multiphase flow--Mathematical models.

Modeling Complex Living Systems

Author : N. Bellomo
ISBN : 9780817645106
Genre : Mathematics
File Size : 26. 31 MB
Format : PDF, ePub, Docs
Download : 396
Read : 481

Get This Book


Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems. The author develops new mathematical methods and tools—hopefully a "new" mathematics—toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in the context of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Modeling of the competition between cells of an aggressive invasive agent and cells of the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general.

Active Particles Volume 1

Author : Nicola Bellomo
ISBN : 9783319499963
Genre : Mathematics
File Size : 51. 18 MB
Format : PDF
Download : 594
Read : 414

Get This Book


This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Transport Phenomena And Kinetic Theory

Author : Carlo Cercignani
ISBN : 0817645543
Genre : Science
File Size : 33. 87 MB
Format : PDF
Download : 258
Read : 438

Get This Book


The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. Transport Phenomena and Kinetic Theory is an excellent self-study reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation.

Mathematical Modeling Of Complex Biological Systems

Author : Abdelghani Bellouquid
ISBN : 9780817645038
Genre : Science
File Size : 55. 54 MB
Format : PDF
Download : 805
Read : 1147

Get This Book


This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

Top Download:

Best Books