Table of Contents

1 - Mathematical Models of Fluid Motion

2 - Hydrostatics

3 - Surface Tension

4 - Incompressible Inviscid Flow

5 - Two-Dimensional Incompressible Inviscid Flow

6 - Two-Dimensional Potential Flow

7 - Axisymmetric Incompressible Inviscid Flow

8 - Incompressible Boundary Layers

9 - Incompressible Aerodynamics

10 - Incompressible Viscous Flow

11 - Waves in Incompressible Fluids

12 - Terrestrial Ocean Tides

13 - Equilibrium of Compressible Fluids

14 - One-Dimensional Compressible Inviscid Flow

15 - Two-Dimensional Compressible Inviscid Flow

Appendix A - Vectors and Vector Fields

Appendix B - Cartesian Tensors

Appendix C - Non-Cartesian Coordinates

Appendix D - Ellipsoidal Potential Theory

Appendix E - Calculus of Variations

Appendix F - Solutions to Exercises in Chapter 1

Appendix G - Solutions to Exercises in Chapter 2

Appendix H - Solutions to Exercises in Chapter 3

Appendix I - Solutions to Exercises in Chapter 4

Appendix J - Solutions to Exercises in Chapter 5

Appendix K - Solutions to Exercises in Chapter 6

Appendix L - Solutions to Exercises in Chapter 7

Appendix M - Solutions to Exercises in Chapter 8

Appendix N - Solutions to Exercises in Chapter 9

Appendix O - Solutions to Exercises in Chapter 10

Appendix P - Solutions to Exercises in Chapter 11

Appendix Q - Solutions to Exercises in Chapter 12

Appendix R - Solutions to Exercises in Chapter 13

Appendix S - Solutions to Exercises in Chapter 14

Appendix T - Solutions to Exercises in Chapter 15

Appendix U - Solutions to Exercises in Appendix A

Appendix V - Solutions to Exercises in Appendix B

Appendix W - Solutions to Exercises in Appendix C

Appendix X - Solutions to Exercises in Appendix D

Appendix Y - Solutions to Exercises in Appendix E

About the Author

Richard Fitzpatrick is a professor of physics at the University of Texas at Austin, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of Maxwell’s Equations and the Principles of Electromagnetism (2008), An Introduction to Celestial Mechanics (2012), Oscillations and Waves: An Introduction (2013), Plasma Physics: An Introduction (2014), and Quantum Mechanics (2015). He earned a master’s degree in physics from the University of Cambridge and a DPhil in astronomy from the University of Sussex.