Fluides 1
Présentation
This course aims at introducing Fluid Mechanics to non specialists, starting from classical mechanics. It establishes the equations governing homogeneous incompressible fluids (statics, kinematics, dynamics, vorticity dynamics) and solves them for steady flows, irrotational flows, viscous flows, surface waves. It gives applications to aerodynamics, hydrodynamics and hydraulics.
This course is taught in English
Pré-requis nécessaires
Pre-requisites:
mathematical analysis : ODEs, PDEs (preferably), real functions of several variables, geometry of curves and surfaces, vector analysis ;
physics : classical mechanics, electrostatics (electromagnetism), thermodynamics
Objectifs
Objective of the course:
this is the basic course upon which specialized fluid dynamics courses (GFD, fluid-solid interactions) will be based.
Compétences visées
this course builds up know-how and abilities:
ability to identify scientific questions
ability to use these results for scientific projects
ability to validate numerical results with theoretical results
use for problem solving in fluids
contributes to a global approach (holistic approach) to problem solving
use for building numerical algorithms for professional purposes
Descriptif
Contents
Introduction/description of fluids, from microscopics to macroscopics
fluid statics
fluid kinematics and deformation
fluid dynamics
vorticity
steady flows
irrotational flows
aerodynamics and hydrodynamics
boundary layers
viscous flows
surface waves
hydraulics