| Main models of the dynamics of fluids |
Conservation laws for Newtonian fluids.
Adimensionalisation of the model equations. Physical meaning of the main nondimensional numbers in the dynamics of fluids: Mach, Reynolds, Froude, Prandtl, Peclet, Grashof, Nusselt.
Deduction of the most common fluid dynamic models, e.g. limit models, from the adimensional numbers
|
| Perfect incompressible flows |
Equations for the vorticity evolution in a perfect flow.
Study of irrotational and potential flows. Limitations of the potential model.
Examples of potential flows and applications. Some ideas of the lift theory. |
| Turbulent flows |
Introduction
Inviability of the direct numerical simulation (DNS)
Closure problem in turbulence equations
Models of turbulence |
