TABLE OF CONTENTS 



Page 



INTRODUCTION xxiv 



CHAPTER I - FUNDAMENTALS OF THE IRROTATIONAL FLOW 

 OF FRICTIONLESS FLUIDS 



1. Particle Velocity and Stream Lines 1 



2. The Equation of Continuity 2 



3. Euler's Equations of Motion 4 



4. Boundary Conditions 6 



5. Rotational Motion; the Circulation 6 



6. The Velocity Potential for Irrotational Flow 8 



7. The Laplace Equation 12 



8. Some Properties of Irrotational Flow 13 



9. The Pressure Equation for Irrotational Flow 15 



10. The Bernoulli Equation for Steady Irrotational Flow 17 



11. The Pressure Equation for Rotating Boundaries 18 



12. Three-Dimensional Sources, Sinks, and Dipoles 19 



13. Two-Dimensional Flow 20 



14. Two-Dimensional Flow in Multiply Connected Spaces 24 



15. Two-Dimensional or Line Sources, Sinks, Vortices, 



and Dipoles 26 



16. Axisymmetric Three-Dimensional Flow 27 



17. Kinetic Energy of the Fluid 29 



18. Units of Measurement 32 



