Contents
1 Foundation of Fluid Mechanics 1
1.1 Combination of Early Development of Fluid Dynamics with Calculus 1
1.2 Methods of Describing Fluid Motion 6
1.3 Establishment and Application of Differential Equations for Ideal Fluid Motion 13
1.4 Differential Equation of Viscous Fluid Motion and Vortex Transport Equation 26
1.5 Establishment and Application of Boundary Layer Theory 32
1.6 Laminar Flow Transition Phenomenon and Stability Theory 39
1.7 Turbulence Phenomenon and Its Characteristics 44
1.8 Statistical Theory of Turbulence 51
1.9 Engineering Turbulence Theory 57
1.10 Turbulence Model 61
1.11 Turbulence Advanced Numerical Simulation Technology 67
1.12 Multi-scale Discussions of Turbulent Eddies 69
2 Aerodynamics 79
2.1 Development of Aerodynamics 79
2.2 Low-Speed Airfoil Flow 84
2.3 Development and Influence Mechanism of Boundary Layer Near Airfoil Surface 97
2.4 Low-Speed FlowAround Wing 108
2.5 Basic Theory of Compressible Flow 117
2.6 Solution of Compressible Flow 135
2.7 Hypersonic Aerodynamics 138
2.8 Principle of Aeroacoustics 144
2.9 Stall Characteristics of Low-Speed Airfoil and Wing 153
2.10 Interaction Between Shock Wave and Boundary Layer in Supersonic Flow 161
2.11 The Leading Role of Aerodynamics in the Development of Modern Aircraft 171
3 Hydrodynamics 175
3.1 Development of Hydrodynamics 175
3.2 Liquid Motion 180
3.2.1 Ideal Liquid Motion 180
3.2.2 Viscous Liquid Motion 180
3.2.3 Cavitation and Cavitation Erosion 181
3.2.4 Multiphase Flow 181
3.2.5 Non-newtonian Fluid Flow 182
3.2.6 Non Pressure Flow (Open Flow) 183
3.2.7 Pressure Flow 183
3.2.8 Flow Induced Vibration (Hydroelastic Problem) 184
3.3 One-Dimensional Flow Theory and Mechanical Energy Loss 184
3.3.1 Theory of One-Dimensional Flow 184
3.3.2 Mechanical Energy Loss 187
3.4 Steady Flow Along a Pressure Pipeline 192
3.4.1 Simple Pipe Flow 192
3.4.2 Water Pump System 194
3.4.3 Water Turbine System 196
3.5 Steady Flowin Open Channel 197
3.5.10 verview 197
3.5.2 Steady Uniform Flow in Open Channel 199
3.5.3 Steady Nonuniform Gradually Varied Flow 201
3.5.4 Water Surface Curves for the Steady Gradually Varied Flow 206
3.5.5 Rapidly Varied Flow in the Open Channel 208
3.6 Unsteady Flow in a Pressure Pipeline 228
3.6.1 Overview 228
3.6.2 Basic Equation of One-Dimensional Unsteady Flow 231
3.6.3Water Hammer and Its Governing Equations 233
3.6.4 Water Oscillating Flow 236
3.7 Unsteady Gradually Varied Flow in Open Channel 238
3.7.1 Overview 238
3.7.2 Differential Equation of Unsteady Gradually Varied Flow 239
3.8 Fundamentals of Water Wave Hydrodynamics 242
3.8.1 Overview 242
3.8.2 Basic Characteristics of Wave Motion 245
3.8.3 Types of Waves 248
3.8.4 Linear Wave Theory (Micro Amplitude Wave Theory) 252
3.8.5 Wave with Finite Amplitude 264
3.8.6 SolitaryWave 275
3.9 Applications in Hydraulics 282
3.9.1 Water Resources and Hydropower Engineering 282
3.9.2 Ship Engineering 284
3.9.3 Lubrication and Hydraulic Transmission 286
3.9.4 Marine and Coastal Engineering 288
4 Computational Fluid Dynamics 297
4.1 Derivation of Computational Fluid Dynamics 297
4.2 Discrete Techniques and Iterative Methods 300
4.3 Application of Computational Fluid Dynamics 304
4.3.1 Numerical Solution of Low Velociry Flow 304
4.3.2 Numerical Solution of Transonic Flow 309
4.3.3 Numerical Solution of Supersonic Flow 310
4.4 Commercial Sof tware for Computational Fluid Dynamics 312
4.5 Numerical Simulation of Flow Field for a Large Axial Flow Fan 316
4.5.1 Problem Description 316
4.5.2 The Physical Model316 4.5.3Mesh Generation and Boundary Conditions 317
4.5.4 Results 318
4.6 Numerical Simulation of Flow-Field in a Large Lowspeed Closed-Circuit Aeroacoustics Wind Tunnel 321
4.6.1 Problem Description 321
4.6.2 The Physical Model 323
4.6.3 Mesh Generation and Boundary Conditions 325
4.6.4 Results 325
5 Experimental Fluid Mechanics 333
5.1 Classical Fluid Mechanics Experiment 333
5.2 Similarity Principle 339
5.3 Application of Similarity Theory 344
5.4 Flow Visualization Measurement Technique 349
5.5 Flow Velocimetry Technique 361
5.6 Experimental Measurement Method for Dynamic Forces 369
5.7 Test ErrorAnalysis 373
6 Wind and Water Tunnel Equipment 381
6.1 Development of Wind Tunnel Equipment 381
6.2 Wind TunneI Type 386
6.3 Low-Speed Wind Tunnel 392
6.4 Introduction to Typical Low-Speed Wind Tunnels 401
6.5 Supersonic Wind Tunnel 417
6.6 Transonic Wind Tunnel 420
6.7 Hypersonic Wind Tunnel 431
6.8 Variable Density Wind Tunnel 436
6.9 Water Tunnel (or Channel) Equipment 441
7 Flight Mystery and Aerodynamic Principles 445
7.1 FlyingFantasy 445
7.2 Exploratory Cognition of Flight 450
7.3 Rapid Development of Aircraft 454
7.4 Flight Principle 460