ID:
509095
Duration (hours):
50
CFU:
6
SSD:
IDRAULICA
Year:
2025
Overview
Date/time interval
Secondo Semestre (02/03/2026 - 12/06/2026)
Syllabus
Course Objectives
At the end of the course, the student will have acquired the theoretical elements essential for the analysis of advanced problems in the field of hydraulic engineering, with particular reference to turbulent flow and unsteady flow conditions. He will also have extended the knowledge provided in the previous courses of Hydraulics for liquid flows (one-dimensional motions) to the multidimensional context.
The course also provides the basis for further study in the second-year courses of the Master’s Degree, such as Fluvial Hydraulics, Flood Propagation, Hydroelectric Plants, Wind Power Plants and Computational Fluid Dynamics.
Through the exercises, the student will also acquire the ability to apply theoretical notions to the analysis of some relevant problems in the field of hydraulic engineering (e.g. unsteady phenomena in free surface and pressure flows, hydrodynamic forces on mechanical elements, turbulent flows).
The course also provides the basis for further study in the second-year courses of the Master’s Degree, such as Fluvial Hydraulics, Flood Propagation, Hydroelectric Plants, Wind Power Plants and Computational Fluid Dynamics.
Through the exercises, the student will also acquire the ability to apply theoretical notions to the analysis of some relevant problems in the field of hydraulic engineering (e.g. unsteady phenomena in free surface and pressure flows, hydrodynamic forces on mechanical elements, turbulent flows).
Course Prerequisites
Knowledge of the fundamentals of calculus and analytical mechanics.
Knowledge of the fundamentals of fluid mechanics and hydraulics and ability to apply them to the solution of problems related to pipe flows and open-channel flows.
Knowledge of the fundamentals of fluid mechanics and hydraulics and ability to apply them to the solution of problems related to pipe flows and open-channel flows.
Teaching Methods
Theoretical lectures.
Practical exercises by solving the following problems in Excel:
- Calculation of hydrodynamic forces on the elements of a pipe;
- Calculation of the friction coefficient and of the hydrodynamic forces in a turbulent free-surface flow
- Calculation of the minimum thickness of a pipeline in unsteady conditions induced by the closure of a valve
- Calculation of the rise of a tidal wave in a river estuary
- Calculation of the moving hydraulic jump resulting from the opening of a navigation lock
Practical exercises by solving the following problems in Excel:
- Calculation of hydrodynamic forces on the elements of a pipe;
- Calculation of the friction coefficient and of the hydrodynamic forces in a turbulent free-surface flow
- Calculation of the minimum thickness of a pipeline in unsteady conditions induced by the closure of a valve
- Calculation of the rise of a tidal wave in a river estuary
- Calculation of the moving hydraulic jump resulting from the opening of a navigation lock
Assessment Methods
Oral exam on the problems proposed during practical classes, with discussion of related theoretical aspects
Texts
Citrini D., Noseda D., Idraulica. CEA, Milano 1987
Tennekes H., Lumley J.L., A first course in turbulence, MIT Press 1972
Natale L., Idraulica industriale, dispense, 2012
Chanson H., The hydraulics of open channel flow: an introduction, Elsevier, 2004
Tennekes H., Lumley J.L., A first course in turbulence, MIT Press 1972
Natale L., Idraulica industriale, dispense, 2012
Chanson H., The hydraulics of open channel flow: an introduction, Elsevier, 2004
Contents
Review of the equations of fluid motion. Conservation of mass and balance of momentum. Navier-Stokes equations and their simplification for one-dimensional flows.
Application of the hydrodynamic equilibrium equation to the calculation of hydrodynamic forces. Calculation of hydrodynamic forces: lift and drag, hydrodynamic coefficients.
Introduction to turbulence theory: instability, turbulence scales, Reynolds averaged equations. Wall turbulence: velocity profiles. Applications to turbulent flows in pipes and open channels.
Unsteady pipe flows. Celerity of the pressure wave in a liquid. Equations of motion in characteristic form and their numerical solution. Water hammer: Allievi's formula and Michaud's formula. Calculation of rapidly varied flows in unsteady conditions (control valves, pumps, flow losses due to rupture of the pipeline).
Unsteady free-surface flows. Celerity of level waves. De Saint Venant equations. Equations of motion in characteristic form and their numerical solution. Hartree's method. Simple wave case and its applications.
Surges and moving hydraulic jumps. Wave formation and speed. Dam break waves along dry and wet channel beds.
Application of the hydrodynamic equilibrium equation to the calculation of hydrodynamic forces. Calculation of hydrodynamic forces: lift and drag, hydrodynamic coefficients.
Introduction to turbulence theory: instability, turbulence scales, Reynolds averaged equations. Wall turbulence: velocity profiles. Applications to turbulent flows in pipes and open channels.
Unsteady pipe flows. Celerity of the pressure wave in a liquid. Equations of motion in characteristic form and their numerical solution. Water hammer: Allievi's formula and Michaud's formula. Calculation of rapidly varied flows in unsteady conditions (control valves, pumps, flow losses due to rupture of the pipeline).
Unsteady free-surface flows. Celerity of level waves. De Saint Venant equations. Equations of motion in characteristic form and their numerical solution. Hartree's method. Simple wave case and its applications.
Surges and moving hydraulic jumps. Wave formation and speed. Dam break waves along dry and wet channel beds.
Course Language
Italian
Degrees
Degrees (2)
CIVIL ENGINEERING
Master’s Degree
2 years
ENVIRONMENTAL ENGINEERING
Master’s Degree
2 years
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