Descriptif

Pedagogical objectives

This introductory course in fluid mechanics presents several useful and basic topics in Fluid Mechanics selected to cover a wide range of potential applications.
It addresses elementary concepts and will permit the students later interested in to smoothly follow other courses connected to fluid mechanics and offered either in the M1 second semester or in the M2 entire year.

The course consists in twelve 3-hour blocks made of intricated lectures and exercices.

It covers the following topics:
- Global and local forms adopted in fluid mechanics by the main physical laws (mass conservation, momentum balance, first and second laws in thermodynamics)
- Inviscid fluid and associated Euler equations (compressible and incompressible cases)
- Viscous newtonian fluid and associated Navier-Stokes equations
- Analytical examples of unidirectional flows
- Vorticity equation and production
- Potential three-dimensional and two-dimensional flows of inviscid and newtonian fluids
- Steady two-dimensional potential incompressible flow of an inviscid fluid.
Case of the airfoil
- Boundary layer
- Creeping flow

Pre-requisites

There are no mandatory prerequisites for this course which is designed to be
followed by students who are non-familiar with fluid mechanics.

Evaluation

The student final grade (over 20 points) will consist of a mid-term homework
(1/3) and a final written exam (2/3). Up to 2 additional points will be given to
the students depending on the student attendance to the blocks and oral
exchanges with the teacher during the exercises and the lectures.