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Fluid Mechanics


ECTS Credits : 4

Duration : 42 hours + 12 h Dept

Semester : S7

Person(s) in charge:

 Dr. Emmanuel Plaut, professor, 

Key Words : Continuum Mechanics, Fluids

Prerequisite : General basis in continuum mechanics, Tensor analysis

Objective :

Students will acquire strong knowledge in fluid mechanics. Emphasis is on the perfect fluid model and elements about compressible fluid flows. This course is aimed at future engineers or researchers.

Program and Contents:

This module is a follow-up of the module “Mechanics of continuum media” of the first year. The aim is to introduce the main approaches concerning modeling, calculus and physical interpretation of fluid mechanics.Lectures are followed by tutorials that allow students to perform concrete application involving both handmade and numerical calculus with the software Mathematica. The focus is also on developing a real physical sense including the analysis of the pressure, stress and velocity field structures and their graphical representation.The course provides the opportunity to study :

  • Basics of modeling in fluid thermomechanics:
    Local and global balances, behavior laws, head losses.


  • The ideal fluid model and its main applications:
    Surface tension effects and interfacial waves, Kelvin-Helmholtz & Rayleigh-Taylor Instabilities, compressible perfect flows: sound waves and elements of acoustics.

  • Creeping flows.

  • Boundary layer theory: Blasius boundary layer, Falkner-Skan boundary layers.

  • Turbulence modelling.

Hyperdocuments for the lectures and tutorials are available on the dedicated web page :
which also provides the syllabus of this module, the bulk of the video presentations given
during the lectures, and some corrected annals.Students will be assessed based on a mid-term test and a final exam. In addition, investment during tutorials will also be taken into account.

Finally, at the end of the semester, a practical work is performed.


Abilities : 


Description and operational verbs


Laws and phenomenology of fluid mechanics.


The laws, phenomenology and principles of fluid mechanics.


The laws of fluid mechanics.


A fluid system, especially being able to distinguish between simple and symmetric systems where a local calculus is possible (using Navier-Stokes, Euler or Prandtl equations...) and more complex systems where only global estimations will be possible (via global behavior laws).


Being able to analyse a fluid system and draw conclusions, especially practical ones as an engineer.


The appropriate strategy in order to analyse a fluid system making a link with physical questions : is the flow simple, laminar, symmetric, complex, turbulent? Can I calculate the whole velocity field or only an average one or only the flow rate?...


Évaluations :

  • Written test
  • Continuous Control
  • Oral report
  • Project
  • Written report
  • Aucune étiquette