Main models of the dynamics of fluids |
Systems of laws of conservation for Newtonian fluids.
Nondimensionalization of the equations and physical meaning of the main nondimensional numbers in the dynamics of fluids: Mach, Reynolds, Froude, *Prandtl, Peclet, Grashof and Nusselt
Deduction of the main models of the dynamics of fluids, e.g. limit models, from the adimensional numbers
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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)
Problem of the closing of equations in turbulence
Models of turbulence |