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# Fluid Mechanics - 4PMPMDF2

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• #### Number of hours

• Lectures : 12.0
• Tutorials : 12.0
• Laboratory works : 0
• Projects : 0
• Internship : 0
ECTS : 2.0

### Goals

Learn how to use the fundamental equations of fluid mechanics (Navier-Stokes equations, Bernoulli, Euler ...) to solve real problems. Know the uses of different types of pumps as well as the influence of their coupling. Acquire the basics notions concerning the surface tension together with the dimensional analysis and the similarity.

Content

A Basic equations

• A I – Definition
• A II – Mass continuity equation
• A III – Navier-Stockes equations
• A IV – Euler equations
• A V – Bernoulli’s principle
• A VI – Fluid statics

B Hydrodynamics

• B I – Viscosity
• B II – Reynolds number
• B III – Laminar flow profile
• B IV – Pipe flow

C Hydraulic machinery and circuit

• C I – Hydraulic machinery
• C II – Pumps
• C III – Centrifugal pump theory
• C IV – Pump choice
• C V – Cavitation in pumps
• C VI – Pump couplings

D Surface properties of liquid

• D I – Surface tension
• D II – Laplace equation
• D III – Kelvin equation
• D IV – Surface tension of binary solutions
• D V – Marangoni effect
• D VI – Liquid/solid interface

E Dimensional analysis and similarity

• E I – Vaschy-Buckingham theorem
• E II – Adimensional equations
• E III – Similiarity and model

Prerequisites

basics in fluid mechanics

Tests

Session 1 = 2h written exam. Documents allowed.
Session 2 = 2h written exam. Documents allowed.
Session 1 confined = 2h written exam in front of the camera (ZOOM). Documents allowed.
Session 2 confined = 15 minutes discussion exam in front of the camera (ZOOM). Documents allowed.

Examen Ecrit : 100%

Curriculum->Engineering degree->Semester 7
Curriculum->Master->Semester 7

Bibliography

Mécanique des fluides : Cours – S. Candel
Hydrodynamique physique – É. Guyon, J.-P. Hulin, L. Petit

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Date of update March 19, 2019

## Version française

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