Mathematics of Open Fluid Systems
Mathematics of Open Fluid Systems

Author: Eduard Feireisl

Publisher: Springer Nature

Published: 2022-04-01

Total Pages: 299

ISBN-13: 3030947939

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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.

Classical Thermodynamics of Fluid Systems
Classical Thermodynamics of Fluid Systems

Author: Juan H. Vera

Publisher: CRC Press

Published: 2016-11-25

Total Pages: 466

ISBN-13: 1315399040

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This text explores the connections between different thermodynamic subjects related to fluid systems. Emphasis is placed on the clarification of concepts by returning to the conceptual foundation of thermodynamics and special effort is directed to the use of a simple nomenclature and algebra. The book presents the structural elements of classical thermodynamics of fluid systems, covers the treatment of mixtures, and shows via examples and references both the usefulness and the limitations of classical thermodynamics for the treatment of practical problems related to fluid systems. It also includes diverse selected topics of interest to researchers and advanced students and four practical appendices, including an introduction to material balances and step-by-step procedures for using the Virial EOS and the PRSV EOS for fugacities and the ASOG-KT group method for activity coefficients. The Olivera-Fuentes table of PRSV parameters for more than 800 chemical compounds and the Gmehling-Tochigi tables of ASOG interaction parameters for 43 groups are included.

A Mathematical Introduction to Fluid Mechanics
A Mathematical Introduction to Fluid Mechanics

Author: A. J. Chorin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 213

ISBN-13: 1468400827

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These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.

Collected Papers in Honor of Yoshihiro Shibata
Collected Papers in Honor of Yoshihiro Shibata

Author: Tohru Ozawa

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 396

ISBN-13: 3031192524

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Yoshihiro Shibata has made many significant contributions to the area of mathematical fluid mechanics over the course of his illustrious career, including landmark work on the Navier-Stokes equations. The papers collected here — on the occasion of his 70th birthday — are written by world-renowned researchers and celebrate his decades of outstanding achievements.

Mathematical Theory of Incompressible Nonviscous Fluids
Mathematical Theory of Incompressible Nonviscous Fluids

Author: Carlo Marchioro

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 295

ISBN-13: 1461242843

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Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new needs require a deeper knowledge of the behavior of real fluids, and new discoveries or steps forward pose, quite often, challenging and diffi cult new mathematical {::oblems. In this framework, a special role is played by incompressible nonviscous (sometimes called perfect) flows. This is a mathematical model consisting essentially of an evolution equation (the Euler equation) for the velocity field of fluids. Such an equation, which is nothing other than the Newton laws plus some additional structural hypo theses, was discovered by Euler in 1755, and although it is more than two centuries old, many fundamental questions concerning its solutions are still open. In particular, it is not known whether the solutions, for reasonably general initial conditions, develop singularities in a finite time, and very little is known about the long-term behavior of smooth solutions. These and other basic problems are still open, and this is one of the reasons why the mathe matical theory of perfect flows is far from being completed. Incompressible flows have been attached, by many distinguished mathe maticians, with a large variety of mathematical techniques so that, today, this field constitutes a very rich and stimulating part of applied mathematics.

Simulation of Fluid Power Systems with Simcenter Amesim
Simulation of Fluid Power Systems with Simcenter Amesim

Author: Nicolae Vasiliu

Publisher: CRC Press

Published: 2018-04-09

Total Pages: 761

ISBN-13: 1351645161

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This book illustrates numerical simulation of fluid power systems by LMS Amesim Platform covering hydrostatic transmissions, electro hydraulic servo valves, hydraulic servomechanisms for aerospace engineering, speed governors for power machines, fuel injection systems, and automotive servo systems It includes hydrostatic transmissions, automotive fuel injection, hydropower speed units governor, aerospace servo systems along with case studies of specified companies Aids in predicting and optimizing the static and dynamic performances related to the systems under study

A First Course in Fluid Dynamics
A First Course in Fluid Dynamics

Author: A. R. Paterson

Publisher: Cambridge University Press

Published: 1983-11-10

Total Pages: 544

ISBN-13: 9780521274241

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This book introduces the subject of fluid dynamics from the first principles.

Introduction to Mathematical Fluid Dynamics
Introduction to Mathematical Fluid Dynamics

Author: Richard E. Meyer

Publisher: Courier Corporation

Published: 2012-03-08

Total Pages: 194

ISBN-13: 0486138941

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Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.

Handbook of Mathematical Fluid Dynamics
Handbook of Mathematical Fluid Dynamics

Author: S. Friedlander

Publisher: Gulf Professional Publishing

Published: 2003-03-27

Total Pages: 627

ISBN-13: 008053354X

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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.

Mathematical Aspects of Fluid Mechanics
Mathematical Aspects of Fluid Mechanics

Author: James C. Robinson

Publisher: Cambridge University Press

Published: 2012-10-18

Total Pages: 275

ISBN-13: 1139577212

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The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.