Description
Book SynopsisThis introduction to the mathematics of incompressible fluid mechanics and its applications keeps prerequisites to a minimum only a background knowledge in multivariable calculus and differential equations is required. Part One covers inviscid fluid mechanics, guiding readers from the very basics of how to represent fluid flows through to the incompressible Euler equations and many real-world applications. Part Two covers viscous fluid mechanics, from the stress/rate of strain relation to deriving the incompressible Navier-Stokes equations, through to Beltrami flows, the Reynolds number, Stokes flows, lubrication theory and boundary layers. Also included is a self-contained guide on the global existence of solutions to the incompressible Navier-Stokes equations. Students can test their understanding on 100 progressively structured exercises and look beyond the scope of the text with carefully selected mini-projects. Based on the authors'' extensive teaching experience, this is a valua
Table of ContentsPreface; Introduction; Part I. Inviscid Flow: 1. Flow and transport; 2. Ideal fluid flow; 3. Two-dimensional irrotational flow; Part 2. Viscous Flow: 4. Navier–Stokes flow; 5. Low Reynolds number flow; 6. Bounday layer theory; 7. Navier–Stokes regularity; Appendix; Bibliography; Index.
