Fluides 2
Présentation
In this course students will learn to identify the physical processes involved in a perturbed fluid system, and to analyse and describe stable and unstable responses. The course is taught in English.
Pré-requis nécessaires
An introductory course in fluid dynamics, (vector) calculus
Objectifs
On completing this course, students will be able to identify the physical processes at play in a fluid subject to a perturbation, to express these processes mathematically, and to solve the system. Students will be able to both analyse mathematically and reason physically about the evolution of the system.
Compétences visées
Applying theory, analytical and numerical methods to analyze the behavior of a perturbed fluid system
Descriptif
Waves
- Fundamental ideas (kinematics, propagation, wavegroup properties, ray theory) and methods of analysis
- Applications : surface gravity waves, acoustic waves
Instabilities
- Fundamental ideas (introduction to hydrodynamic stability and unstable growth, relevant characteristic numbers) and methods of analysis (linear stability analysis)
- Applications : Kelvin-Helmholtz instability, parallel shear instability, Rayleigh-Bénard convection
Chaotic behaviour
- Introduction to chaotic systems and sensitive dependence on initial conditions ; the transition to turbulence
- Applications : Rayleigh-Bénard convection
Classes comprise a mix of mathematical derivation and discussion of the underlying physical processes. Students develop skills in applying the appropriate methods of analysis during problem classes. Accompanying practical work supports each of the three main sections, and allows students to apply the methods to real data.