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Fluid Dynamics


ECTS Credits : 2

Duration : 21 hours

Semester : S7

Person(s) in charge :

Dr. Hervé COMBEAU, professor, 

Keywords :  Fluid mechanics, Laminar flows

Prerequisites :  Continuum mechanics, thermodynamics

Objective : Get basic knowledge about laminar flows


The aim of this course is to provide students with rigorous scientific knowledge about laminar flows.

The study of perfect fluid flows prepares the way for presenting a first look at flows around obstacles

and introduces the two parts that follow: dynamics of vorticity and boundary layers.

Content :

• Reminder of fluid mechanics equations:

Mass and momentum balances

Reminder of the laws driving perfect fluid and Newtonian fluid flows.

Total energy and kinetic energy balances.

• Low Reynolds number flows:

General properties, almost parallel flows, lubrication, application to the motion of a sphere

with uniform speed in a fluid, Darcy’s law

• Flows with negligible viscosity:

Irrotational flows, Coanda effect, force exerted by a fluid on an obstacle in a potential flow

• Dynamics of vorticity:

Circulation of speed, Kelvin’s circulation theorem, vorticity transport equation,

sources of vorticity in a flow, examples of the dynamics of vortex lines

• Laminar boundary layers:

boundary layer on a flat slab, boundary layer detachment


Abilities : 


Description and operational vocabulary


Local and global mass, momentum and energy balances for laminar flows


the notions of viscosity, inertia, diffusion, head loss, viscous dissipation, boundary layer, vorticity


jet propulsion, propeller, wind turbine, flow around an obstacle or near a wall


a real problem and bring out the main phenomena involved, choose a model that fits experimental data, and get at least an order of magnitude





Evaluation :

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