Mécanique des Fluides

Description

Kinematics of continuous media: Lagrange and Euler variables, trajectory, emission line, current line, the tensors of the kinematics of the continuous media (tensor of the gradients of the deformation, strain tensor, linearized strain tensor, strain rate tensor, strain rate tensor, deformation tensor, strain tensor, linearized strain tensor, strain rate tensor. deformation). 

Particle derivative (scalar, arc element, volume element, volume integrals and of surface).

The laws of conservation and constraint tensor: conservation of the mass, Cauchy's hypothesis,conservation of the amount of movement, conservation of energy (1st and 2nd principles of the thermodynamics), equations of motion and equilibrium, Clausius-Duhem inequality. Study of the stress tensor, deflector, pressure, Mohr circles.

Fluid mechanics: Newtonian fluid behaviour law, Navier-Stokes equations,simple flow solutions (Poiseuille, Couette), study of the hydraulic bearing, flow function, Stokes force, potential flow, Magnus force.