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Theoretical Fluid Mechanics has been written to aid physics students who wish to pursue a course of self-study in fluid mechanics. It is a comprehensive, completely self-contained text with equations of fluid mechanics derived from first principles, and any required advanced mathematics is either fully explained in the text, or in an appendix. It is accompanied by about 180 exercises with completely worked out solutions. It also includes extensive sections on the application of fluid mechanics to topics of importance in astrophysics and geophysics. These topics include the equilibrium of rotating, self-gravitating, fluid masses; tidal bores; terrestrial ocean tides; and the Eddington solar model.
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