ECTS Credits : 2
Duration : 21 hours
Semester : S7
Person(s) in charge :
Dr. Hervé COMBEAU, professor, email@example.com
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.
• 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
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
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