[Fluid Dynamics: Introduction] A brief history of fluid dynamics

A brief history of the theory establishment of fluid dynamics, from the ancient Greek Archimedes for his buoyancy principle down to Stokes in 1845, who derived the full fluid dynamic equations, now named as Navier-Stokes equation, as well as the problems and challenges in solving the fluid dynamic equations, including: Archimedes buoyancy principle (this may be one of the few correct principles in fluid dynamics from ancient Greeks) Da Vinci mass conservation principle Newton's 2nd law of motion (later employed by Euler for fluids) and his viscosity law of fluid for the fluid viscous force and the definition of fluid viscosity Bernoulli's principle, the first relation between the fluid pressure and velocity Euler equation (the Newton's 2nd law of motion for inviscid flows, and the Bernoulli's equation) Navier- Cauchy-Stokes etc. the full fluid dynamic equation, now named as Navier-Stokes equation Problems and challenges in solving the Navier-Stokes equation: the film, 'Gifted' and the Millennium challenges (one of the greatest 7 Millennium challenges)