Official Plan of the Course
Résumé de section
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Chapter 1: Generalities
Definition of the continuous medium, characteristic of the fluid medium, notion of fluid particle. Volume forces and surface forces applied to a fluid domain. Perfect fluid, viscous fluid.Chapter 2: Fluid Statics
General equation of fluid statics. Special case of hydrostatics. Archimedes' thrust forces. Gas Statics.
Chapter 3: Fluid kinematics
Locating a fluid particle. Lagrange's point of view, Euler's point of view, particle derivative. Streamlines, emission line, trajectory. Tensor of deformations laws of behavior. Case of a Newtonian fluid. Rotational and irrotational flows. Planar flows with velocity potential: classic example.
Chapter 4: Perfect Fluid Dynamics
General theorems. Fundamental equations for a perfect fluid. Bernoulli's equation: applications. Study of flow meters (venture, Pitot tube…).
Chapter 5: Viscous Fluid Dynamics
Integral equation of motion. Local equation, Navier-Stockes equation, applications Solving some classical unsteady problems.
Chapter 6: Introduction to Gas Dynamics
St-Venant's barre equation. Flow in a convergent-divergent. Supersonic flow, shock waves.