Fluid mechanics 1

Chap1 : Fluid statics
1 Continuous medium model
Notion of fluid, scale of description
2 Pressure
Pressure within a fluid at rest, equation of state, Incompressible fluids and flows
3 Mechanical equilibrium of a fluid
Fundamental relationship of fluid statics, Incompressible fluid in a gravity field
4 Action of a fluid on a solid
Example of a water reservoir, Fully immersed solid, Archimedes' theorem

Chap2: Kinematics of fluids
1 Visualization of a flow
2 Description of a moving fluid
Lagrange and Euler methods, Topography, Eulerian acceleration
3 Characteristics of a flow
stationary or permanent, compressible / incompressible, rotational / irrotational, Deformation of fluid particles
4 Notion of flow
Volume and mass flow, local conservation of mass

Chap3: Perfect fluid dynamics
1 Forces acting on a fluid particle
Volumetric and surface forces, Pressing force, Shear forces, Perfect fluid and Reynolds number
2 Description of a perfect fluid in motion
Perfect flow, Euler equation, Boundary conditions, Example of flow
3 Energy aspect : Bernoulli relation
perfect, incompressible, stationary, homogeneous and irrotational flow
perfect, incompressible, stationary, homogeneous flow
Applications (Venturi effect, flowmeter, pressure measurement, Pitot tube)
4 Other types of flow
non-stationary but irrotational flow, non-stationary but rotational flow, flow through a hydraulic machine

Fluid statics
Fluid kinematics
Fluid dynamics
Bernoulli's relationship