Reminder of fluids mechanics and introduction to turbulence
Objectives
Reminder on local balances in fluids mechanics (mass and momentum balances)
Description of the transition to turbulence.
Write Navier-Stokes equations with Reynolds averaging.
Obtain the profile mean velocity in a turbulent channel
Description
Differential operators and calculation with matrices
Navier-Stokes equations in cartesian, cylindrical, spherical coordinates
Couette and Poiseuille laminar flows
Transition to turbulence
Navier-Stokes equations with Reynolds averaging
Turbulent channel flow and Prandtl model
Targeted skills
Writing and simplification of Navier-Stokes equations
Description of turbulence and instabilities of flows
Solutions of Navier-Stokes equations for simplified geometries
Pre-requisites
Basic knowledge on differential operators and matrices
Mass and momentum balances in fluids mechanics