### 基本信息

- 原书名：AN Introduction to Fluid Dynamics
- 原出版社： Cambridge University Press

- 作者：
**(英)George K.Batchelor** - 丛书名：
**经典原版书库** - 出版社：机械工业出版社
- ISBN：
**9787111139935** - 上架时间：2009-9-19
- 出版日期：2004 年4月
- 开本：16开
- 页码：615
- 版次：1-1
- 所属分类：物理 > 唯象论 > 流体动力学

教材 > 研究生/本科/专科教材 > 理学 > 力学

### 编辑推荐

这本最初于1967年出版的经典著作，直到现在仍是流体动力学领域的最重要教材之一。在计算机与网络业已普及的今天，书中对流体动力学的基础理论的详尽描述仍然是适时和可用的。再次出版本书使当代大学生和研究生能够领略Batchelor教授著作中的典雅风范。

### 内容简介

物理书籍

这本最初于1967年出版的经典著作，直到现在仍是流体动力学领域的最重要教材之一。在计算机与网络业已普及的今天，书中对流体动力学的基础理论的详尽描述仍然是适时和可用的。再次出版本书使当代大学生和研究生能够领略Batchelor教授著作中的典雅风范。

本书介绍了真实流体物理学的基础理论，使学生能了解从过去半个多世纪研究中获得的常见的流系统和流现象。本书的重点在于流体动力学的物理规律和普遍性，此外还特别关注流系统的各种概念模型和分析模型与观察资料之间的关联。

本书适合作为应用数学和工程专业本科生及研究生的教材。本书被多所著名大学采用为教材，如英国剑桥大学、美国加州大学洛杉矶分校等。

<font color="#FF0000">相关书籍：</font><a href="http://www.china-pub.com/computers/common/info.asp?id=17396" target="_blank"><font color="#FF0000">系统动力学（英文版·第4版）</font>

</a>

### 作译者

### 目录

Conventions and Notation

Chapter 1. The Physical Properties of Fluids

1.2 Solids, liquids and gases

1.2 The continuum hypothesis

1.3 Volume forces and surface forces acting on a fluid

1.4 Mechanical equilibrium of a fluid

1.5 Classical thermodynamics

1.6 Transport phenomena

1.7 The distinctive properties of gases

1.8 The distinctive properties of liquids

1.9 Conditions at a boundary between two media

Chapter 2. Kinematics of the Flow Field

2.1 Specification of the flow field

2.2 Conservation of mass

2.3 Analysis of the relative motion near a point

2.4 Expression for the velocity distribution with specified rate page 84

2.5 Singularities in the rate of expansion. Sources and sinks

2.6 The vorticity distribution

2.7 Velocity distributions with zero rate of expansion and zero

### 前言

While teaching fluid dynamics to students preparing for the various Parts of the Mathematical Tripos at Cambridge I have found difficulty over the choice of textbooks to accompany the lectures. There appear to be many books intended for use by a student approaching fluid dynamics with a view to its application in various fields of engineering, but relatively few which

cater for a student coming to the subject as an applied mathematician and none which in my view does so satisfactorily. The trouble is that the great strides made in our understanding of many aspects of fluid dynamics during the last 5~ years or so have not yet been absorbed into the educational texts for students of applied mathematics. A teacher is therefore obliged to do

without textbooks for large parts of his course, or to tailor his lectures to the existing books. This latter alternative tends to emphasize unduly the classical analytical aspects of the subject, and the mathematical theory of irrotational flow in particular, with the probable consequence that the students remain unaware of the vitally important physical aspects of fluid dynamics. Students, and teachers too, are apt to derive their ideas of the content of a subject from the topics treated in the textbooks they can lay hands on, and it is undesirable

that so many of the books on fluid dynamics for applied mathematicians should be about problems which are mathematically solvable but not necessarily related to what happens in real fluids.

I have tried therefore to write a textbook which can be used by students of applied mathematics and which incorporates the physical understanding and information provided by past research. Despite its bulk this book is genuinely an introduction to fluid dynamics; that is to say, it assumes no previous knowledge of the subject and the material in it has been selected

to introduce a reader to the important ideas and applications. The book has grown out of a number of courses of lectures, and very little of the material has not been tested in the lecture room. Some of the material is old and well known, some of it is relatively new; and for all of it I have tried to devise the presentation which appears to be best from a consistent point

of view. The book has been prepared as a connected account, intended to be read and worked on as a whole, or at least in large portions, rather than to be referred to for particular problems or methods.

I have had the needs of second-, third-and fourth-year students of applied mathematics in British universities particularly in mind, these being the needs with which I am most familiar, although I hope that engineering students will also find the book useful. The true needs of applied mathematicians and engineers are nowadays not far apart. Both require above all

an understanding of the fundamentals of fluid dynamics; and this can be achieved without the use of advanced mathematical techniques. Anyone who is familiar with vector analysis and the notation of tensors should have little difficulty with the purely mathematical parts of this work. The bookis fairly heavily weighted with theory, but not with mathematics.

Attention is paid throughout the book to the correspondence between observation and the various conceptual and analytical models of flow systems. The photographs of flow systems that are included are an essential part of the book, and will help the reader, I hope, to develop a sense of the reality that lies behind the theoretical arguments and analysis. This is

particularly important for students who do not have an opportunity of seeing flow phenomena in a laboratory. The various books and lectures by L.

Prandtl seem to me to show admirably the way to keep both theory and observation continually in mind, and I have been greatly influenced by them. Prandfl knew in particular the value of a clear photograph of a welldesigned experimental flow system, and many of the photographs taken by

him are still the best available illustrations of boundary-layer phenomena.

A word is necessary about the selection of topics in this book and the order in which they have been placed. My original intention was to provide between two covers an introduction to all the main branches of fluid dynamics, but I soon found that this comprehensiveness was incompatible

with the degree of thoroughness that I also had in mind. I decided therefore to attempt only a partial coverage, at any rate so far as this volume is concerned. The first three chapters prepare the ground for a discussion of any branch of fluid dynamics, and are concerned with the physical properties of fluids, the kinematics of a flow field, and the dynamical equations in general form. The purpose of these three introductory chapters is to show how the various branches of fluid dynamics fit into the subject as a whole and rest on certain idealizations or assumptions about the nature of the fluid or the motion. A teacher is unlikely to wish to include all this preliminary material in a course of lectures, but it can be adapted to suit a specialized course and will I hope be useful as background. In the remaining four chapters the fluid is assumed to be incompressible and to have uniform density and viscosity.

I regard flow of an incompressible viscous fluid as being at the centre of fluid dynamics by virtue of its fundamental nature and its practical importance.Fluids with unusual properties are fashionable in research, but most of the basic dynamical ideas are revealed clearly in a study of rotational flow of a fluid with internal friction; and for applications in geophysics, chemical

engineering, hydraulics, mechanical and aeronautical engineering,to chapter 6, with some of the early sections of chapters 5 and 7 included.It is a difficulty inherent in the teaching of fluid dynamics to mathematics undergraduates that a partial introduction to the subject is unsatisfactory,tending to leave them with analytical procedures and results but no in-

formation about when they are applicable. Furthermore, students do take some time to grasp the principles of fluid dynamics, and I suggest that 40 to 50 lectures are needed for an adequate introduction of the subject to non-specialist students. However, a book is not subject to the same limitations as a course of lectures. I hope lecturers will agree that it is desirable

for students to be able to see all the material set out in logical order, and to be able to improve their own understanding of the subject by reading,even ff in a course of lectures many important topics such as boundarylayer separation must be ignored.