| Libellé du cours : | Turbulent transport of particles |
|---|---|
| Département d'enseignement : | CMA / Chimie et Matière |
| Responsable d'enseignement : | Monsieur JEAN-MARC FOUCAUT |
| Langue d'enseignement : | |
| Ects potentiels : | 2 |
| Grille des résultats : | |
| Code et libellé (hp) : | MR_TUR_CMA_TTP - Turb. transport of particles |
Equipe pédagogique
Enseignants : Monsieur JEAN-MARC FOUCAUT
Intervenants extérieurs (entreprise, recherche, enseignement secondaire) : divers enseignants vacataires
Résumé
Lecture taught by Mickael Bourgoin from ENS Lyon This lecture presents the fundamental tools, both theoretical and experimental, of Lagrangian description of turbulence and of the turbulent transport of particles. The Lagrangian approach, where the dynamics and statistics of turbulence are analyzed along particle trajectories, is indeed the natural framework to address numerous problems, as dispersion and transport of particles and substances, which are omni-present in geophysical and environmental applications : transport of sediments, dispersion of pollutants, droplets in clouds, etc.. The last decade has known a renewed interest for the Lagrangian description of turbulence, after almost a century since the first developments by Taylor and Richardson. This revival is both driven by recent experimental technological advances (making of particle tracking one of the most accurate experimental measurements in fluid mechanics) and to the development of stochastic models, offering an interesting alternative to the usual Eulerian description of fluids. In this context, the lecture will focus on two main aspects : (i) the Lagrangian description of turbulence (transport of fluid tracers) and (ii) turbulent transport of material particles : - Lagrangian turbulence : • general motivations • single time Lagrangian statistics (velocity and acceleration of fluid particles) • two time statistics (increments, spectra and Lagrangian intermittency) ; • the single particle dispersion problem ; • the pair dispersion problem (the role of turbulent super-diffusivity) ; • the role of large scale anisotropy on Lagrangian dynamics ; • stochastic models of Lagrangian turbulence • experimental Lagrangian techniques ; - Turbulent transport of material particles : • general motivations • usual models for particle/turbulence interaction ; • inertial effects on single particle Lagrangian statistics (velocity, acceleration, intermittency) ; • finite size effects ; • collective effects ; role of gravitational effects (settling of heavy particles)
Objectifs pédagogiques
The objectives of this lecture are to provide students with an insight into the Lagrangian approach for the study of turbulence.
Objectifs de développement durable
Modalités de contrôle de connaissance
Contrôle Terminal
Commentaires: The evaluation will be done by a terminal exam.
Ressources en ligne
Course material Exercises
Pédagogie
Class sessions with active student participation will be set up with classical blackboard teaching and powerpoint presentation. Each session will be followed by one or more exercises to be done independently and prepared at home.
Séquencement / modalités d'apprentissage
| Nombre d'heures en CM (Cours Magistraux) : | 20 |
|---|---|
| Nombre d'heures en TD (Travaux Dirigés) : | 0 |
| Nombre d'heures en TP (Travaux Pratiques) : | 0 |
| Nombre d'heures en Séminaire : | 0 |
| Nombre d'heures en Demi-séminaire : | 0 |
| Nombre d'heures élèves en TEA (Travail En Autonomie) : | 0 |
| Nombre d'heures élèves en TNE (Travail Non Encadré) : | 0 |
| Nombre d'heures en CB (Contrôle Bloqué) : | 0 |
| Nombre d'heures élèves en PER (Travail PERsonnel) : | 0 |
| Nombre d'heures en Heures Projets : | 0 |
Pré-requis
Fluid dynamics, experimental techniques, turbulence