Hydraulic
[AUCE1152]
[30h + 30h] 5 credits
This course is taught in the 2d semester.
Teacher(s): Yves Zech
Language: French
Level: First
Aims
- Theoretical and practical approaches of major problems of pressure flows pipes
Main themes
- Basic equations and flow models
- Orifices et weirs
- Pressure pipes
Content and teaching methods
- Hydrostatics (4 hours) :
* Differential and integral equations,
* Manometers,
* Force component and centre of pressure on plane areas and curved surfaces,
* Statics and dynamics of submerged and floating bodies;
- Basic equations of hydraulics (2 hours) : Lagrangian et Eulerian approaches, displacement, deformation and rotation;
- Flow model :
* Perfect-liquid model (5 hours) :
kinématics of irrotational flows : streamlines and potential, complex potential, conformal transformations; applications to bridge piers in rivers, to weirs and to hydrodynamic profiles,
dynamics : Euler's equations, integral forms of Lagrange and Bernoulli;
* Viscous-liquid model (2 hours) :
Stokes assumption and Navier-Stokes equations,
laminar in pipes : velocity parabolic distribution and discharge integral (Poiseuille);
* Turbulent-liquid model (8 hours) :
turbulence : statistical approach, Reynolds analogy, Navier-Stokes-Reynolds-Boussinesq equations, mixing length (Prandtl) velocity logarithmic distribution (smooth and rough turbulent cases),
head losses : dynamic similitude, friction losses in pipes (Darcy, Moody-Nikuradse), eddy losses;
* Application field of the models and selection of modelling assumptions
- Applications
* Liquid-wall interactions (2 hours)
Hydrodynamic forces,
Boundary layer;
* Orifices et weirs (2 hours)
* Closed conduits and pipe networks :
steady flow (3 hours) : simple pipes; branching pipes; networks of pipes : mesh method (Hardy-Cross).
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
- Pedagogy : courses, elementary exercises, lab on pipe flow
- Evaluation : written examination (exercises), oral examination (theory)