Table of Contents
Preface xi
About the Companion Website xii
1 Continuum Mechanics 1
2 Thermodynamics 14
3 Vector Calculus and Index Notation 26
4 Kinematics of Local Fluid Motion 50
5 Basic Laws 69
6 Newtonian Fluids and the Navier–Stokes Equations 105
7 Some Incompressible Flow Patterns 121
8 Dimensional Analysis 149
9 Elements of Compressible Flow 178
10 Incompressible Flow 191
11 Some Solutions of the Navier–Stokes Equations 212
12 Streamfunctions and the Velocity Potential 256
13 Vorticity Dynamics 278
14 Flows at Moderate Reynolds Numbers 314a
15 Asymptotic Analysis Methods 360
16 Characteristics of High-Reynolds-Number Flows 393
17 Kinematic Decomposition of Flow Fields 413
18 Ideal Flows in a Plane 422
19 Three-Dimensional Ideal Flows 483
20 Boundary Layers 512
21 Flow at Low Reynolds Numbers 584
22 Lubrication Approximation 626
23 Surface Tension Effects 645
24 Introduction to Microflows 681
25 Stability and Transition 711
26 Turbulent Flows 743
27 Gas Dynamics 796
Problems 842
References 843
Index 859