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1 Fluids and Their Properties 1

1.1 Definition of Fluids 1

1.2 Fluid as a Continuum 2

1.3 Inertia of Fluids 3

1.4 Compressibility and Expansibility of Fluids 5

1.5 Viscosity of Fluids 8

1.6 Surface Tension 17

Problems for Chapter 1 20

2 Fluid Statics 26

2.1 Forces Exerted on Fluids 26

2.2 Static Pressure of Fluids and Its Properties 28

2.3 Basic Equation of Fluids Statics 30

2.4 Measurement of Pressure 37

2.5 Relative Equilibrium of Liquid 43

2.6 Forces Acting on a Plane Due to Hydrostatic Pressure 48

2.7 Forces Acting on a Curved Surface Due to Hydrostatic Pressure 54

2.8 Buoyancy and Stability of Floating Bodies 58

Problems for Chapter 2 62

3 Fluid Dynamics 75

3.1 Basic Concepts of Flow 75

3.2 Flow Descriptions 82

3.3 Reynolds'Transport Theorem 87

3.4 Equation of Continuity 90

3.5 Momentum Equation 92

3.6 Moment-of-momentum Equation 98

3.7 Energy Equation 98

3.8 Bernoulli's Equation Along a Streamline 102

3.9 Bernoulli's Equation for Total Flow 105

3.10 Other Applications of Basic Equations of Fluid Dynamics 109

Problems for Chapter 3 112

4 Similitude and Dimensional Analysis 123

4.1 Similitude and Model Tests 124

4.2 Dimensional Analysis and the Buckingham π Theorem 132

Problems for Chapter 4 138

5 Viscous Flow and Hydraulic Calculations 143

5.1 Fundamental Flow States of Viscous Fluids 143

5.2 Navier-Stokes Equations of a Real Fluid 147

5.3 Laminar Flow of Incompressible Viscous Fluid 149

5.4 Turbulent Flow of Viscous Fluids 159

5.5 Experimental Study on Head Loss 164

5.6 Minor Head Losses 169

5.7 Hydraulic Calculations for Pipe Systems 178

5.8 Orifice Flow 189

Problems for Chapter 5 191

6 Vortex Flow 199

6.1 Differential Form of the Equation of Continuity 199

6.2 Flow Analysis of Fluid Particles 201

6.3 Basic Concepts of Vortex Flow 203

6.4 Karman Vortex Street 208

Problems for Chapter 6 209

7 Irrotational Flow 212

7.1 Differential Equations of Motion 212

7.2 Euler's and Bernoulli's Integral 214

7.3 Initial and Boundary Conditions of Ideal Flow 216

7.4 Velocity Potential and Stream Function 219

7.5 Basic Two-dimensional Potential Flows 223

7.6 Combination of Potential Flows 229

7.7 Flow Around a Cylinder 234

7.8 Cylindrical Probe 240

Problems for Chapter 7 242

8 Introduction to Boundary Layer Theory 248

8.1 Concept of Boundary Layer 248

8.2 Differential Equations of the Boundary Layer 250

8.3 Integral Momentum Equation 253

8.4 Definitions of Boundary Layer Thickness 255

8.5 Boundary Layer Parameter Approximations 257

8.6 Boundary Layer Separation 260

Problems for Chapter 8 262

9 Introduction to Aerodynamics 266

9.1 Basic Equations of Isentropic Flow 268

9.2 Wave Propagation in Compressible Fluids 269

9.3 Speed of Sound and the Mach Number 271

9.4 Special States of Gas Flow 274

9.5 Shock Wave 279

9.6 Flow Through a Duct with Varying Area 285

9.7 Compressible Flow Within a Circular Conduit with Friction 290

Problems for Chapter 9 292

References 299