Incompressible fluid dynamics

This book is an introductory text to the theory of incompressible flow. It covers all the fundamental concepts while at the same time developing the necessary mathematical apparatus, such as vector and tensor analysis, the Laplace equation, complex functions, and dimensional analysis. The material studied includes Cauchy's equation of motion, the Navier-Stokes equations, the momentum principle, the energy equation in integral and differential form, Bernoulli's equation, potential theory, lift and drag, similarity of external flows, pipe flows, real fluid flow past flat plates, the boundary layer concept and the Prandtl equations, integral momentum principles of boundary layer analysis, turbulent flow and stresses, mechanics of boundary layer transition, and the effects of shape and roughness on drag.