Fluid mechanics 2

Reminders and complements of fluid kinematics

Flow rates, potential flows, unsteady Bernoulli's law, current function


The momentum theorem

Tensor concepts : velocity gradient tensor, stress gradient tensor, viscous stress gradient tensor, stress vector
Euler equation, incompressible Newtonian fluid model, Navier Stokes equation
Kinematic and dynamic boundary conditions
Applications to simple flows: simple shear, extensional flow, Poiseuille flow, free air flow...


Quantity of motion and energy balances

Generalized Bernoulli's law, pumps and turbines


Regular head losses

Poiseuille's law for laminar flow, Blasius' law for turbulent flow and smooth pipe
Roughness, Moody's abacus for rough pipes
Singular head losses