P. A. Davidson, Professor of Fluid Mechanics, Department of Engineering, University of Cambridge

• 1: Elementary Definitions, Some Simple Kinematics and the Dynamics of Ideal Fluids


• 2: Governing Equations and Flow Regimes for a Real Fluid


• 3: Some Elementary Solutions of the Navier-Stokes Equation


• 4: Flows with Negligible Inertia: Stokes Flow, Lubrication Theory and Thin Films


• 5: Laminar Flow at High Reynolds Number: Boundary Layers


• 6: Potential Flow Theory with Applications to Aerodynamics


• 7: Surface Gravity Waves in Deep and Shallow Water


• 8: Vortex Dynamics: Classical Theory and Illustrative Examples


• 9: Waves and Flow in a Stratified Fluid


• 10: Waves and Flow in a Rotating Fluid


• 11: Instability


• 12: The Transition to Turbulence and the Nature of Chaos


• 13: An Introduction to Turbulence and to Kolmogorov's Theory


• 14: Turbulent Shear Flows and Simple Closure Models


• 15: Appendices

Incompressible Fluid Dynamics is a textbook for graduate and advanced undergraduate students of engineering, applied mathematics, and geophysics