Fluid Dynamics

Asymptotic Problems of Fluid Dynamics

Author: Anatoly I. Ruban

Publisher: Oxford University Press, USA

ISBN: 0199681740

Category: Fluid mechanics

Page: 320

View: 4076

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This is the second volume in a four-part series on fluid dynamics: Part 1. Classical Fluid Dynamics Part 2. Asymptotic Problems of Fluid Dynamics Part 3. Boundary Layers Part 4. Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. In Part 2 the reader is introduced to asymptotic methods, and their applications to fluid dynamics. Firstly, it discusses the mathematical aspects of the asymptotic theory. This is followed by an exposition of the results of inviscid flow theory, starting with subsonic flows past thin aerofoils. This includes unsteady flow theory and the analysis of separated flows. The authors then consider supersonic flow past a thin aerofoil, where the linear approximation leads to the Ackeret formula for the pressure. They also discuss the second order Buzemann approximation, and the flow behaviour at large distances from the aerofoil. Then the properties of transonic and hypersonic flows are examined in detail. Part 2 concludes with a discussion of viscous low-Reynolds-number flows. Two classical problems of the low-Reynolds-number flow theory are considered, the flow past a sphere and the flow past a circular cylinder. In both cases the flow analysis leads to a difficulty, known as Stokes paradox. The authors show that this paradox can be resolved using the formalism of matched asymptotic expansions.

Fluid Dynamics

Classical Fluid Dynamics

Author: Anatoly I. Ruban,Jitesh S. B. Gajjar

Publisher: Oxford University Press, USA

ISBN: 0199681732

Category: Science

Page: 317

View: 9739

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This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which isfollowed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations forincompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. We discussin detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressibleflows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner.

Grundlagen der Strömungsmechanik

Eine Einführung in die Theorie der Strömung von Fluiden

Author: Franz Durst

Publisher: Springer-Verlag

ISBN: 3540313249

Category: Science

Page: 758

View: 1870

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Dieses Lehrbuch stützt sich auf mathematische und physikalische Grundkenntnisse von Studenten mittlerer Semester. Es erläutert den Zusammenhang moderner Strömungsmechanik zur technischen Mechanik und bezieht moderne Mess- und numerische Berechnungsverfahren ein. Jedes Kapitel enthält den Stoff einer einwöchigen Vorlesung, der so aufgebaut ist, dass er Studenten an die jeweilige Spezialliteratur heranführt.

Numerische Strömungsmechanik

Author: Joel H. Ferziger,Milovan Peric

Publisher: Springer-Verlag

ISBN: 3540682287

Category: Science

Page: 509

View: 7634

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Das Buch bietet einen Überblick über die numerischen Methoden zur Lösung strömungsmechanischer Probleme. Die in der Praxis meistgenutzten Methoden werden detailliert beschrieben. Behandelt werden auch fortgeschrittene Methoden, wie die Simulation von Turbulenzen und Parallel-Verarbeitung. Das Buch beschreibt die Grundlagen und Prinzipien der verschiedenen Methoden. Numerische Genauigkeit und Abschätzung sowie Fehlerreduktion werden detailliert mit vielen Beispielen behandelt. Alle Computercodes sind über den Server ftp.springer.de des Springer-Verlages erhältlich (Internet).

Vortex Dynamics

Author: P. G. Saffman

Publisher: Cambridge University Press

ISBN: 9780521420587

Category: Mathematics

Page: 311

View: 5852

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Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid motion that are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.

Fluid Mechanics

Author: Frank Mangrom White,Rhim Yoon Chul

Publisher: N.A

ISBN: 9789814720175

Category: Fluid mechanics

Page: 773

View: 7599

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Introduction to Theoretical and Computational Fluid Dynamics

Author: Constantine Pozrikidis

Publisher: Oxford University Press

ISBN: 0199752079

Category: Computers

Page: 1243

View: 4152

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This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.

Verkehrsdynamik und -simulation

Daten, Modelle und Anwendungen der Verkehrsflussdynamik

Author: Martin Treiber,Arne Kesting

Publisher: Springer-Verlag

ISBN: 9783642052286

Category: Science

Page: 368

View: 8256

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Das Lehrbuch liefert eine umfassende Darstellung der Modellierung und Dynamik des Straßenverkehrs. Es erschließt Studierenden ein Gebiet, das bisher nur in der englischsprachigen Originalliteratur dargestellt wurde. Aktuelle Anwendungen in Bereichen wie Verkehrsmanagement, Fahrer-Assistenzsysteme oder Verkehrstelematik stellen den Praxisbezug her, zahlreiche Abbildungen und Übungsaufgaben vertiefen das Verständnis. Das Buch richtet sich an Physik- und Verkehrsingenieurstudenten sowie Studierende der Informatik, Mathematik und technischer Richtungen.

Einführung in die Mechanik und Symmetrie

Eine grundlegende Darstellung klassischer mechanischer Systeme

Author: Jerrold E. Marsden,Tudor S. Ratiu

Publisher: Springer-Verlag

ISBN: 3642568599

Category: Mathematics

Page: 598

View: 9327

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Symmetrie spielt in der Mechanik eine große Rolle. Dieses Buch beschreibt die Entwicklung zugrunde liegender Theorien. Besonderes Gewicht wird der Symmetrie beigemessen. Ursache hierfür sind Entwicklungen im Bereich dynamischer Systeme, der Einsatz geometrischer Verfahren und neue Anwendungen. Dieses Lehrbuch stellt Grundlagen bereit und beschreibt zahlreiche spezifische Anwendungen. Interessant für Physiker und Ingenieure. Ausgewählte Beispiele, Anwendungen, aktuelle Verfahren/Techniken veranschaulichen die Theorie.

Fluid Dynamics

Theory, Computation, and Numerical Simulation

Author: C. Pozrikidis

Publisher: Springer

ISBN: 1489979913

Category: Technology & Engineering

Page: 901

View: 8307

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This book provides an accessible introduction to the basic theory of fluid mechanics and computational fluid dynamics (CFD) from a modern perspective that unifies theory and numerical computation. Methods of scientific computing are introduced alongside with theoretical analysis and MATLAB® codes are presented and discussed for a broad range of topics: from interfacial shapes in hydrostatics, to vortex dynamics, to viscous flow, to turbulent flow, to panel methods for flow past airfoils. The third edition includes new topics, additional examples, solved and unsolved problems, and revised images. It adds more computational algorithms and MATLAB programs. It also incorporates discussion of the latest version of the fluid dynamics software library FDLIB, which is freely available online. FDLIB offers an extensive range of computer codes that demonstrate the implementation of elementary and advanced algorithms and provide an invaluable resource for research, teaching, classroom instruction, and self-study. This book is a must for students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing.

Topics in Fluid Mechanics

Author: René Chevray,Jean Mathieu

Publisher: Cambridge University Press

ISBN: 9780521422727

Category: Science

Page: 320

View: 6020

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This book offers a novel but unified treatment of an established subject. Rather than describe the standard topics in fluid mechanics in traditional form, the book presents each topic as part of a wider class of problems so that a unity of concepts is emphasized over a unity of material.

Kinetic Theory and Fluid Dynamics

Author: Yoshio Sone

Publisher: Springer Science & Business Media

ISBN: 146120061X

Category: Science

Page: 353

View: 1152

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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.

Elements of Fluid Dynamics

Author: Guido Buresti

Publisher: World Scientific Publishing Company

ISBN: 1908977043

Category: Technology & Engineering

Page: 604

View: 3784

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Elements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies. The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts. Sample Chapter(s) Chapter 1: Introduction (133 KB) Request Inspection Copy

An Introduction to Theoretical Fluid Mechanics

Author: Stephen Childress

Publisher: American Mathematical Soc.

ISBN: 0821848887

Category: Science

Page: 201

View: 7145

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This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.

Mathematical Fluid Dynamics, Present and Future

Tokyo, Japan, November 2014

Author: Yoshihiro Shibata,Yukihito Suzuki

Publisher: Springer

ISBN: 4431564578

Category: Mathematics

Page: 613

View: 8252

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This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Research in Numerical Fluid mechanics

Proceedings of the 25th Meeting of the Dutch Association for Numerical Fluid Mechanics

Author: Wesseling Pieter

Publisher: Springer-Verlag

ISBN: 332289729X

Category: Technology & Engineering

Page: 130

View: 5741

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Meteorological Fluid Dynamics

Asymptotic Modelling, Stability and Chaotic Atmospheric Motion

Author: Radyadour K. Zeytounian

Publisher: Springer Science & Business Media

ISBN: 3540383867

Category: Science

Page: 348

View: 3027

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The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.

Modern Fluid Dynamics

Basic Theory and Selected Applications in Macro- and Micro-Fluidics

Author: Clement Kleinstreuer

Publisher: Springer Science & Business Media

ISBN: 1402086709

Category: Technology & Engineering

Page: 620

View: 5941

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This textbook covers essentials of traditional and modern fluid dynamics, i. e. , the fundamentals of and basic applications in fluid mechanics and convection heat transfer with brief excursions into fluid-particle dynamics and solid mechanics. Specifically, it is suggested that the book can be used to enhance the knowledge base and skill level of engineering and physics students in macro-scale fluid mechanics (see Chaps. 1–5 and 10), followed by an int- ductory excursion into micro-scale fluid dynamics (see Chaps. 6 to 9). These ten chapters are rather self-contained, i. e. , most of the material of Chaps. 1–10 (or selectively just certain chapters) could be taught in one course, based on the students’ background. Typically, serious seniors and first-year graduate students form a receptive audience (see sample syllabus). Such as target group of students would have had prerequisites in thermodynamics, fluid mechanics and solid mechanics, where Part A would be a welcomed refresher. While introductory fluid mechanics books present the material in progressive order, i. e. , employing an inductive approach from the simple to the more difficult, the present text adopts more of a deductive approach. Indeed, understanding the derivation of the basic equations and then formulating the system-specific equations with suitable boundary conditions are two key steps for proper problem solutions.

Fluid Mechanics

Problems and Solutions

Author: Joseph H. Spurk

Publisher: Springer Science & Business Media

ISBN: 364258277X

Category: Science

Page: 605

View: 8903

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This collection of over 200 detailed worked exercises adds to and complements the textbook "Fluid Mechanics" by the same author, and, at the same time, illustrates the teaching material via examples. The exercises revolve around applying the fundamental concepts of "Fluid Mechanics" to obtain solutions to diverse concrete problems, and, in so doing, the students' skill in the mathematical modelling of practical problems is developed. In addition, 30 challenging questions WITHOUT detailed solutions have been included. While lecturers will find these questions suitable for examinations and tests, students themselves can use them to check their understanding of the subject.