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PART ONE Establishing the Basic Equatons that Govern Flow Motion 1

1. Basic Concepts and Principles 3

2. Motions of Fluid Elements; Rotational and Irrotational Flow 16

3. The Continuity Principle 31

4. Inertia Forces 37

5. Applied Forces 51

6. Forms of the Momentum Equation: Equations of Euler and Navier-Stokes 59

7. Turbulence: Mean and Fluctuating Components of Motion 71

8. Turbulence Effects: Modern Theories 80

9. Flow in a Porous Medium: Law of Darcy 89

PART TWO Some Mathematical Treatments of the Basic Equations 99

10. The Bernoulli Equation 101

11. Flow Pattern, Stream Function, Potential Function 116

12. The Momentum Theorem and Its Applications 137

13. The Boundary Layer, Flow in Pipes, Drag and Added Mass 154

14. Open-Channel Hydraulics 182

PART THREE Water Wave Theories 195

15. An Introduction to Water Waves 197

16. Linear Small Amplitude Wave Theories 212

17. Finite Amplitude Waves 239

18. The Long Wave Theory 256

Appendix A: Wave Motion as a Random Process 273

Appendix B: Similitude and Scale Model Technology 286

Notation 301

Answers to Selected Problems 305

Index 317