Low Reynolds Flows

Objectives

The object of this course is to describe the particular hydrodynamic phenomena that one encounters with small Reynolds numbers  . The basic equations are commented, analyzed and solved in simple geometries.

Description

Introduction: Re << 1 What is inertia? and applications
Basic equations and different formulations
Specific properties (linearity, reversibility, reciprocity) and consequences.
Fundamental Solutions of Stokes Equations
Cellule of Hele-Shaw
Lubrication (hydraulic bearing)
Flows in thin layers
Calculation of the stokes force

Targeted skills

Ability to design, size and model systems for energy, transportation and processes.
Ability to design, develop and characterize control systems for the regulation and control of hydraulic and energy devices and for the development of nomadic and embedded systems.
Ability to model multi-scale and / or multi-physics and / or stochastic mechanical problems

Bibliography

Hydrodynamique physique Guyon, Hulin Petit

Pre-requisites

Méca Fluides 1

Session 1 ou session unique - Contrôle des connaissances

Session 2 - Contrôle des connaissances