Peter S. BernardCambridge University Press, 5/5/2015EAN 9781107071575, ISBN10: 1107071577Hardcover, 264 pages, 26 x 18.2 x 1.8 cmLanguage: EnglishThis book presents a focused, readable account of the principal physical and mathematical ideas at the heart of fluid dynamics. Graduate students in engineering, applied math and physics taking their first graduate course in fluids will find this book invaluable in providing the background in physics and mathematics necessary to pursue advanced study. The exposition follows an arc through the subject building towards a detailed derivation of the Navier–Stokes and energy equations followed by many examples of their use in studying the dynamics of fluid flows. Modern tensor analysis is used to simplify the mathematical derivations thus allowing a clearer view of the physics. The motivation behind many fundamental concepts such as Bernoulli's equation and the stream function are included. Many exercises are designed with a view toward using MATLAB® or equivalent to simplify and extend the analysis of fluid motion including developing flow simulations based on techniques described in the book.1. Introduction2. Eulerian and Lagrangian viewpoints, paths and streamlines3. Stream function4. Helmholtz decomposition5. Sources, sinks and vortices6. Doublets and their applications7. Complex potential8. Accelerating reference frames9. Fluids at rest10. Incompressibility and mass conservation11. Stress tensor - existence and symmetry12. Stress tensor in Newtonian fluids13. Navier–Stokes equation14. Thermodynamic considerations15. Energy equation16. Complete equations of motion17. Applications of Bernoulli's equation and control volumes18. Vorticity19. Applications to viscous flow20. Laminar boundary layers21. Some applications to convective heat and mass transfer.
