Theoretical Fluid Mechanics

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