Bernoulli's theorem

This final section of the unit turns to fluids in a genuinely dynamic situation -- a fluid actually flowing through a pipe -- and asks how mass, and then energy, are conserved as it does so. It first derives the equation of continuity (mass conservation for an incompressible flow), then identifies and quantifies the three forms of energy -- kinetic, potential, and pressure energy -- that a flowing liquid carries, and finally combines these into Bernoulli's theorem (energy conservation for a streamlined, non-viscous, incompressible flow), …