Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2022/2023
Tipo incarico Dottorato
Insegnamento 084674 - MECCANICA DEI FLUIDI
Cfu 5.00 Tipo insegnamento Monodisciplinare
Docenti: Titolare (Co-titolari) Messa Gianandrea Vittorio

Corso di Dottorato Da (compreso) A (escluso) Insegnamento

Programma dettagliato e risultati di apprendimento attesi

By attending this course, the studends will learn the theoretical background of fluid mechanics required to understand and interpret fluid mechanics phenomena. These skills are necessary to approach Computational Fluid Dynamics simulations and experiments involving fluid flows. The detailed program of the course is as follows.


Basic concepts of fluid mechanics. Continuum approach in fluid mechanics: mass forces and surface forces, stresses tensor and its components (isotropic and deviatoric); stress-based definition of pressure. No slip condition. Classification of fluid flows: compressible versus incompressible flow, laminar versus turbulent flow, steady versus unsteady flow. Eulerian and Lagrangian frameworks in fluid mechanics. The Eulerian acceleration field and its relation with the Eulerian velocity field: local and convective accelerations. Strain rate tensor and rotation rate tensor.


Fundamental equations of fluid mechanics. Mass conservation equation in the differential, Eulerian formulation. Momentum conservation equation in the differential, Eulerian formulation. Equation of state for isothermal flow: incompressible flow and weakly compressible flow. The fluid dynamic problem and the need for constitutive models.


Constitutive models for the stresses tensor. The inviscid flow model and the Euler equations. The Bernoulli equation. Irrotational flow. The Bernoulli equation for irrotational flow. Potential flow. The solution strategy for the irrotational flow problem. Constitutive models for Stokesian and Newtonian flows. The Navier-Stokes equations in the differential, Eulerian formulation. Analytical solutions to the Navier-Stokes equations: plane Poiseuille flow and cylindrical Poiseuille flow.


Modelling of turbulent flows. Quick overview of basic concepts of turbulence in fluid flows: multi-scale behavior of turbulence, integral and Kolmogorov scales. DNS, LES, and RANS approaches for the modelling of turbulent flows. Derivation of the RANS in the differential, Eulerian formulation. The U-RANS as a generalization of the RANS to non-statistically steady flows. RANS-based turbulence models: Reynolds Stresses Model and eddy-viscosity based models. The k-ε standard turbulence model. RANS-based modelling of the fully-developed, turbulent flow in a large, rectangular pipe: total shear stress and its component (viscous and turbulent) and the Reynolds-averaged velocity profile. The inner layer assumption of Prandtl and the universal law of the wall.


Note Sulla Modalità di valutazione

Written test followed by oral discussion with the teacher.

Intervallo di svolgimento dell'attività didattica
Data inizio
Data termine

Calendario testuale dell'attività didattica

The detailed course calendar will be defined at a later stage. It is planned to have two lectures per week of about 2-3 hours each, resulting in a total duration of the course of about 4-6 weeks.

Risorsa bibliografica facoltativaH. Versteeg, W. Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Editore: Pearson Prentice Hall, Anno edizione: 2007, ISBN: 9780131274983

Chapters 2 and 3 are of interest for this course.

Risorsa bibliografica facoltativaS.B. Pope, Turbulent flows, Editore: Cambridge University Press, Anno edizione: 2000, ISBN: 9780521598866

Section 7.1 is of interest for this course.

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Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
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Disponibilità di supporto didattico in lingua inglese

Note Docente
schedaincarico v. 1.9.6 / 1.9.6
Area Servizi ICT