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Ecole nationale supérieure de l'Énergie, l'Eau et l'Environnement
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Engineering school in energy, water and environment

# Open Channel Hydraulics (HOE / Master HCE) - 4EUS4HSL

• #### Number of hours

• Lectures : 24.0
• Tutorials : 16.0
• Laboratory works : 20.0
• Projects : -
• Internship : -
• Written tests : 0
ECTS : 5.0
• Officials : Eric BARTHELEMY

### Goals

The presence of a free surface in certain flows is a source of complexity.
The objectives are that the students should be able to:

• determine the water depth in an open channel for a given flow rate
• draw and compute the shape of the free surface for gradually changing geometries
• qualitatively predict the shapes of the free surface for flows within channel geometries that are rapidly varied (singularities).

In a Second part the course will focus on the modeling and numerical simulation of incompressible fluid with a free surface (shock capturing methods for the shallow water equations). It will comprise complements centered on the Navier Stokes equations modeling in primitive variables and an applications with structured programing.

Content

Basic concepts in open channel flows: the Froude number, critical depth, the hydraulic jump.

The uniform flow: velocity vertical profile, flow resistance, Chézy equation, normal depth

Nonuniform flow in gradually varying channel sections: water depth computation in non uniform flows, channel controls.

Channel transitions: bottom step, channel contraction,
specific energy Hs, Hs-h diagram

Navier Stokes equation numerical resolution techniques in primitive variables with shock capturing techniques. A in-house Navier Stokes software will be used by the students during their personal project.

Prerequisites

Fluid mechanics
Basic knowledge on ordinary differential equations

Tests

• Specific credits: this course brings 6.0 ECTS to students in Semester S8 - M1 HCE

Marks within the module: DS=2h sitting exam / CC= project "Waves & propagation"/ TP = 2 practicals of 4h
Final mark = 50%*DS+30%*CC+20%*TP

CC 50% + CT 50%

The exam may be taken in french or in english

Calendar

The course exists in the following branches:

see the course schedule for 2019-2020

Course ID : 4EUS4HSL
Course language(s):

You can find this course among all other courses.

Bibliography

«Open channel flow», Henderson (1966).
«Open channel hydraulics», French (1986).
«Hydraulique fluviale», Graf (1993).
«Constructions hydrauliques», Sinniger & Hager (1989).
«Open channel hydraulics», T.W. Sturm (2001).
«Open-channel flow», S.C. Jain (2000).
«The hydraulics of open channel flow: an introduction », H. Chanson (2004)