Fluid Dynamics

This book presents a focused account of the principal physical and mathematical ideas at the heart of fluid dynamics.

Peter S. Bernard (Author)

9781107071575, Cambridge University Press

Hardback, published 5 May 2015

264 pages, 110 b/w illus. 1 table 142 exercises
26 x 18.2 x 1.8 cm, 0.66 kg

This 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. Introduction
2. Eulerian and Lagrangian viewpoints, paths and streamlines
3. Stream function
4. Helmholtz decomposition
5. Sources, sinks and vortices
6. Doublets and their applications
7. Complex potential
8. Accelerating reference frames
9. Fluids at rest
10. Incompressibility and mass conservation
11. Stress tensor - existence and symmetry
12. Stress tensor in Newtonian fluids
13. Navier–Stokes equation
14. Thermodynamic considerations
15. Energy equation
16. Complete equations of motion
17. Applications of Bernoulli's equation and control volumes
18. Vorticity
19. Applications to viscous flow
20. Laminar boundary layers
21. Some applications to convective heat and mass transfer.

Subject Areas: Aerospace & aviation technology [TRP], Chemical engineering [TDCB], Fluid mechanics [PHDF], Applied mathematics [PBW]