Diplômes intégrant cet élément pédagogique :
Descriptif
1 Overview
2 Definitions
2.1 The fluid or continuity approximation
2.2 General assumptions and notations
2.3 Some definitions
2.4 Steady flows
2.5 Stream lines, trajectories, streak lines
3 Fluid dynamics: basic equations
3.1 Substantive derivative
3.2 Continuity equation
3.3 Euler equation
3.4 Incompressible fluid
3.5 Steady flows of ideal fluids
4 Energy and momentum fluxes
4.1 Energy flux
4.2 Momentum flux
4.3 Comments on the pressure
5 From Euler to Navier-Stokes
5.1 Non-ideal fluids
5.2 Diffusive transport of momentum
5.3 Molecular viscosity of a gas31
5.4 The Navier-Stokes equation33
5.5 Incompressible flows: physical interpretation
5.6 Deformations, stress, and related tensors
5.7 Summary
6 Vorticity
6.1 Introduction
6.2 Definitions
6.4 Vortex lines and tubes
6.5 Vorticity dynamics
7 The Helmholtz laws of vorticity
7.1 Evolution of a material line
7.2 Helmholtz laws of vortex motion
8 The Kelvin theorem on circulation
8.1 Introduction
8.2 Definition
6.3 Basic experiments
8.3 Kelvin theorem
8.4 Consequences
9 Irrotational flows
9.1 Definitions
9.2 Bernoulli’s theorem
9.3 Origin of irrotational flows
10 Force on an immersed solid
11 Surface waves
11.1 Introduction
11.2 General assumptions and equations
11.3 Boundary conditions
11.4 Traveling waves in deep water system
12 Gravitational instability
13 Kelvin-Helmholtz instability
13.1 Flow equations
13.2 Linearized equations
13.3 Normal mode analysis
Les cours sont dispensés en français.
Les supports utilisés sont en anglais.
Contacts: P. Hily-Blant pierre.hily-blant @ univ-grenoble-alpes.fr