Ελληνικά

Continuum Mechanics

Course Description:

Lagrangian and Eulerian description (material time derivative; applications from hydrodynamics; Reynolds transport theorem; conservation of mass; continuity equation). Elementary traffic flow theory (the method of characteristics, shock waves; Rankine-Hugoniot condition). Conservation of linear and angular momentum (the control volume technique). Waves (surface waves in ideal fluids; tidal waves; non-linear waves; capillary waves). Viscous fluids. (the Navier-Stokes equations; creeping flow of Newtonian fluids, flow in porous media, Darcy’s law; the laminar boundary layer. Energy conservation (the heat equation; one - dimensional heat flow).