Syllabus
Introduction- definition of turbulence, history, characteristics.
Flow kinematics - dynamical system (Lorenz model), Cellular Automata Model, kinetic theory, continuum.
Statistical description of turbulence, Reynolds conditions, equations of motion, continuity equation - shallow water approximation, closure problem, higher order correlation tensor, theory of turbulence.
Homogeneous and isotropic turbulence - characteristics, correlation tensor, equations of motion.
Turbulent diffusion - Lagrangian analysis
Turbulence models - algebraic (Prandtl´s momentum transfer theory, Taylor's vorticity transport theory, Von Kármán´s similarity hypothesis) one-point turbulence models (k-? model)
Annotation
It acquaints with fundamental characteristics of the turbulent flow. It introduces the turbulent flow equations and it introduces the turbulence modells.