The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
At the end of this learning unit, the student is able to :
a. Contribution of the teaching unit to the learning outcomes of the programme
AA1: 1.1, 1.4, 1.5
AA2: 2.3, 2.4
AA3: 3.4, 3.5
b. Specific learning outcomes of the teaching unit
At the end of this teaching unit, the student will be able to:
1. understand the difference between physical principles and phenomenological laws;
2. assess the reliability and coherence of mathematical models;
3. estimate relevant orders of magnitude in a mathematical model based on partial differential equations;
4. study the budget of physical quantities on fixed or moving control volumes;
5. select the mathematical models relevant to specific flows;
6. solve simple fluid dynamics and reactive transport problems;
7. grasp the specific aspects of geophysical and free-surface flows.
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Lagrangian and Eulerian descriptions.
Mass balance, momentum balance, energy and entropy balance.
Non-inertial reference frame.
Dynamic similitude: dimensionless parameters.
Incompressible irrotationnal flows.
Incompressible viscous flows.
Flows with two space scales: lubrication and boundary layers theory.
Natural and forced convection: Boussinesq approximation.
Geophysical flows: geohydrodynamics equations, dimensionless parameters, idealised models.
Free surface flows: 1D and 2D models, linear and non-linear waves, tides, tsunamis.
Exercise sessions aimed at solving problems as realistic as possible.
Invitation to self learning.
Written exam consisting of problems.
Kundu P., I. Cohen and D. Dowling, 2015 (6th ed.) (ou éditions précédentes), Fluid Mechanics, Elsevier, Amsterdam, 928 pages.