Essential fluid dynamics : for scientists / Jonathan Braithwaite.

Περιλαμβάνει βιβλιογραφικές παραπομπές.

1. Introduction -- 1.1. The fluid approximation -- 1.2. The hydrodynamic equations

2. Some basic concepts -- 2.1. Visualisation -- 2.2. Sound waves -- 2.3. Compressibility -- 2.4. Rotation of fluid elements -- 2.5. Gravitationally stratified fluid

3. Steady flow of an ideal fluid -- 3.1. Bernoulli's equation -- 3.2. Subsonic and supersonic flow -- 3.3. Flow through a nozzle -- 3.4. Stellar winds and accretion

4. Viscosity -- 4.1. The viscous stress tensor -- 4.2. Viscous heating -- 4.3. Examples of viscous flow -- 4.4. Similarity and dimensionless parameters -- 4.5. Regimes of viscous flow : example of flow past a solid body -- 4.6. Boundary layers -- 4.7. Heat diffusion

5. Waves and instabilities -- 5.1. Surface gravity waves -- 5.2. One fluid on top of another fluid -- 5.3. Shear instability between two fluids -- 5.4. Internal gravity waves -- 5.5. Convection -- 5.6. Baroclinic instability -- 5.7. Turbulence -- 5.8. The Jeans instability

6. Shocks -- 6.1. Viscous versus pressure gradient force -- 6.2. The jump conditions -- 6.3. Contexts -- 6.4. Hydraulic jumps

7. Vorticity and rotating fluids -- 7.1. Vortices -- 7.2. The vorticity equation -- 7.3. The momentum equation in a rotating frame of reference -- 7.4. The centrifugal force and the von Zeipel paradox -- 7.5. The vorticity equation in a rotating frame -- 7.6. Inertial waves -- 7.7. The Taylor-Proudman theorem -- 7.8. The geostrophic approximation -- 7.9. Rossby waves

8. Magnetohydrodynamics : equations and basic concepts -- 8.1. The MHD equations -- 8.2. The MHD approximation -- 8.3. The magnetic and other fields -- 8.4. A brief note concerning units -- 8.5. Field lines, flux conservation and flux freezing -- 8.6. Magnetic diffusivity -- 8.7. Magnetic pressure, tension and energy density -- 8.8. Waves -- 8.9. Different regimes in MHD -- 8.10. Magnetic helicity -- 8.11. MHD equilibria

9. MHD : astrophysical contexts -- 9.1. The solar corona -- 9.2. Jets : launching, collimation and instabilities -- 9.3. Angular momentum transport in discs -- Appendix A. Useful information.

The book is an introduction to the subject of fluid mechanics, essential for students and researchers in many branches of science. It illustrates its fundamental principles with a variety of examples drawn mainly from astrophysics and geophysics as well as from everyday experience. Prior familiarity with basic thermodynamics and vector calculus is assumed.