Fluid Mechanics. Incompressible Flows (ME)

Informations générales

  • ECTS

    ECTS 2

Goal(s)

The objective of the course is to give understanding of fluid mechanics for incompressible laminar flows at an advanced level. The course is focused on vorticity dynamics, boundary layer and irrotationnal flows.

Content(s)

Summary of General Equations for incompressible flows.
Chapter I : Vorticity Dynamics

Definitions and Properties of vorticity
Physical Mechanisms of vorticity dynamics
Determination of the velocity field from the vorticity flield. Induced velocities.

Chapter II : Boundary layer Flows

Prandtl Equations
Self-similar solutions
Intergral Equation and solution
Separation

Chapter III : Irrotational Flows
General properties
Two-dimensional Flows
Flows with circulation


Prerequisites :
Vectorial fields. Partial derivative equations. Fluid properties. Hydrostatics. Dimensional Analysis. Fundamental equations of Fluid Mechanics. One-dimensional Flows

Test

final exam (2h), multiple choice question paper

Calendar

S1

Additional Information

34 h = 16 h CM + 16 h TD + 2 h DS

Bibliography

Chassaing P., Mécanique des fluides, Eléments d'un premier parcours, 1997, Cépaduès Editions
Schlichting H., Boundary Layer Theory, 19779, Mc Graw Hill
White F. M., Viscouss Fluid Flow 2nd Ed., 1991, Mc Graw Hill

French State controlled diploma conferring a Master's degree

diplôme conférant grade de master contrôlé par l'Etat