Elementary fluid dynamics
著者
書誌事項
Elementary fluid dynamics
（Oxford applied mathematics and computing science series）
Clarendon Press , Oxford University Press, 1990
- : pbk
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注記
Includes bibliographical references (p. [384]-389) and index
内容説明・目次
- 巻冊次
-
ISBN 9780198596608
内容説明
The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics and will be suitable for all undergraduates coming to the subject for the first time. The prerequisites are a basic knowledge of vector calculus, complex analysis and simple methods for solving differential equations. Throughout, numerous exercises illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundard layer flow and instability in flow) and frequent references to experiments and the history of the subject ensures that it provides a comprehensive introduction to the mathematical study of fluid behaviour.
目次
- Part 1 Introduction: equations of motion for an ideal fluid
- vorticity - irrotational flow
- the vorticity equation
- steady flow past a fixed wing. Part 2 Elementary viscous flow: the equations of viscous flow
- the diffussion of vorticity
- flow with circular streamlines
- the convection and diffusion of vorticity. Part 3 Waves: surface waves on deep water
- dispersion - group velocity
- surface tension effects - capillary waves
- effects of finite depth
- hydraulic jumps and shock waves. Part 4 Classical aerofoil theory: velocity potential and stream function
- irrotational flow past a circular cylinder
- conformal mapping
- Blasius's theorem
- the Kutta-Joukowski lift theorem
- D'Alembert's paradox. Part 5 Vortex motion: Kelvin's circulation theorem
- the Helmholtz vortex theorems
- axisymmetric flow
- viscous vortices - the Prandtl-Batchelor theorem. Part 6 The navier-stokes equations: Cauchy's equation of motion
- a Newtonian viscous fluid - the Navier-stokes equations. Part 7 Very viscous flow: low Reynolds number flow past a sphere
- flow in a Hele-Shaw cell. Part 8 Boundary layers: Prandtl's paper
- high Reynolds number flow in a converging/diverging channel. Part 9 Instability: the Reynolds experiment
- Kelvin-Helmholtz instability
- centrifugal instability. (Part Contents)
- 巻冊次
-
: pbk ISBN 9780198596790
内容説明
The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time.
Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the
subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
目次
- Introduction
- Elementary viscous flow
- Waves
- Classical aerofoil theory
- Vortex motion
- The Navier-Stokes equations
- Very viscous flow
- Boundary layers
- Instability
- Appendix
- hints and answers for exercises
- Bibliography
- Index.
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