Turbulent Flow Modelling (the English translation of "Modellistica di flussi turbolenti")
Teacher
prof. Alfredo SOLDATI
Credits
6 CFU
Language
Italian
Objectives
The course provides the basic physical concepts and mathematical tools required to (1) understand the fundamental phenomenology of single-phase and two-phase turbulence, and interpret experimental data and simulations; (2) analyze single-phase and two-phase turbulence processes of interest for environmental and industrial applications; (3) use state-of-the-art computational models to optimize fluid mechanics system design.
Acquired skills
- Basic understanding of turbulence processes.
- Modelling of turbulence processes.
- Basic computational skills for computational modelling.
Lectures and exercises (topics and specific content)
Introduction: background and basics concepts; conservation equations (continuity, Navier-Stokes); non-dimensionalization; Kinetic Energy Transport Equation (10 hours).
Vorticity Dynamics: definitions of vorticity, physical significance of mathematical definition Circulation Birth, diffusion, and death of vorticity Viscous flow inside and outside a rotating cylinder, diffusion length scale Vorticity Equation, potential and stream functions Biot-Savart Law, Helmholtz's Theorem, point Vortices, 2-D vortex motions, basic vortex interactions Discrete Vortex Method (10 hours).
Boundary Layer: Laminar Boundary Layer Blasius problem, Stokes problem Free plane jet Integral momentum method (8 hours).
Turbulence: Reynolds-averaged conservation equations (RANS); Reynolds stress tensor; closure problem for RANS equations, closure laws and scaling; Law of the Wall Inner Variables; statistical description of turbulence; introduction to Multiphase Turbulent Flows (18 hours).
Turbulence Modelling: turbulence modelling for computational fluid mechanics.; zero, one and two equation models; Large Eddy Simulation and Direct Numerical Simulation (10 hours).
Instability: instability and transition to turbulence hydrodynamic instability; introduction to linear stability analysis; Large Scale Structures (4 hours).
Exercises (18 hours).
References
- Lecture notes
- P. Andreussi, A. Soldati, Fluidodinamica di Processo, Ed. ETS, 2000
- S.B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, U.K., 2000
- R.L. Panton; Incompressible Flow; Ed. Wiley & Sons, 1960
Type of exam
Written and oral
Additional material or information on line