Basic Concepts of Fluid Flow
This first chapter introduces the basic concepts of fluid flow and its mathematical description. First, conservation principles for mass, momentum, and scalar quantities are introduced. The governing equations are presented in coordinate-free vector form, in differential form using Cartesian coordinates and base vectors, and in integral form. Dimensionless equations in differential form are also given, together with the description of the main parameters (Reynolds number, Mach number etc.). Several simplified forms of governing equations are also described, followed by the mathematical classification of flows. The plan of the book closes this chapter.