Introduction to Mathematical Fluid Dynamics

Meyer, Richard E.

Dover Publications Inc.（2003/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 190 p.
• 言語 ENG
• 商品コード 9780486615547
• DDC分類 532.05

Full Description

An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Contents

Preface
Acknowlegments
1 Kinematics
1 Introduction
2 Lagrangian description
3 Eulerian description
4 Conservation of mass
5 Circulation
6 Some potential flows
7 Vorticity
8 Line vortex
9 Vortex sheet
2 Momentum Principle and Ideal Fluid
10 Conservation of linear momentum
11 Mixing and lift
12 Equations of motion
13 D'Alembert's theorem
14 Kelvin's theorem
15 Conservation of angular momentum
3 Newtonian Fluid
16 The Couette experiment
17 Constitutive equation
18 Kinetic theory
19 Some viscous fluid motions
4 Fluids of Small Viscosity
20 Reynolds number
21 A singular perturbation example
22 Limit equations for the flat plate
23 Discussion of Blasius' solution
24 Limit equations with pressure gradient and wall curvature
25 Similarity solutions
26 Momentum integral
27 Separation
28 Wake
5 Some Aspects of Rotating Fluids
29 Bjerknes' theorem
30 Rossby number
31 Ekman layer
32 Taylor-Proudman theorem
6 Some Effects of Compressibility
33 Thermodynamic state
34 Flow initiation
35 Conservation of energy
36 Shock relations
37 Shock structure
38 Navier-Stokes equations
Bibliography
Index