Università Roma Tre

Kinematics of fluids: analysis of the deformation in the neighbourhood of a point. Vorticity and related theorems. Decomposition of the velocity fields. The governing equations of Fluid Mechanics: mass, momentum and energy budget. Hydraulic models: the 1D scheme. Application to the analysis of unsteady pipe flows. The method of characteristics. Computational methods for the 1D scheme. The Navier-Stokes equation and its approximations in Hydrodynamics: low Reynolds number flows, lubrication theory, boundary layer theory, natural and forced convection, the Boussinesque approximation. Ideal flows. Turbulence for uncompressible fluids.

Lecture notes

Kinematics of fluids: analysis of the deformation in the neighbourhood of a point. Vorticity and related theorems. Decomposition of the velocity fields. The governing equations of Fluid Mechanics: massa, momentum and energy budget. Hydraulic modelds: the 1D scheme. Application to the analysis of unsteady pipe flows. The method of characteristics. Computational methods for the 1D scheme. The Navier-Stokes equation and its approximations in Hydrodynamics: low Reynolds number flows, lubrication tehory, boundary layer theory, natural and forced convection, the Boussinesque approximation. Ideal flows. Turbulence for uncompressible fluids.

Lecture notes.
Readings suggested by the teacher.