Hydraulics of natural systems
Academic Year 2026/2027 - Teacher: VINCENZA CINZIA SANTOROExpected Learning Outcomes
Students will gain knowledge of advanced mathematical tools as well as of lab and field experimental results for studying the motion of fluids in the different contexts in which they exist in nature. The focus is, in particular, on fluvial hydraulics, on debris flows and on maritime hydraulics, both in fixed and movable bed conditions.
The topics represent also fundamentals for addressing some SDGs from the 2030 Agenda, namely:
GOAL 6: Clean water and sanitation
6.3 Improve water quality by reducing pollution, eliminating dumping and minimizing release of hazardous chemicals and materials, halving the proportion of untreated wastewater and substantially increasing recycling and safe reuse globally.
6.6 Protect and restore water-related ecosystems, including mountains, forests, wetlands, rivers, aquifers, and lakes.
GOAL 11: Sustainable cities and communities
11.B Substantially increase the number of cities and human settlements adopting and implementing integrated policies and plans towards inclusion, resource efficiency, mitigation and adaptation to climate change, resilience to disasters, and develop and implement, in line with the Sendai Framework for Disaster Risk Reduction 2015-2030, holistic disaster risk management at all levels.
GOAL 13: Climate action
13.1 Strengthen resilience and adaptive capacity to climate-related hazards and natural disasters in all countries
13.2 Integrate climate change measures into national policies, strategies and planning
GOAL 14: Life below water
14.5 Conserve at least 10 per cent of coastal and marine areas, consistent with national and international law and based on the best available scientific information
Knowledge and Comprehension and relevant Application
Upon completion of the course, students will have acquired the theoretical and technical-practical knowledge necessary to address, in a professional context, the topics covered in the course (more specifically, design and operation practical problems involving land use and engineering works, with particular reference to fluvial and maritime environment and to some hydrogeological risks and environmental protection) and, where necessary, to further develop their knowledge of these subjects.
Making Judgements
The knowledge acquired will enable students to develop the critical tools and significant degree of autonomy in judgement required to identify the effects of engineering interventions on hydraulic natural systems and on anthropic communities in general, in order to find the most appropriate solutions to the problems they are called upon to address.
Communication Skills
Students will be able to use the technical language specific to the disciplines covered and to communicate problems and their solutions clearly and effectively, as well as to present their work with confidence in public.
Learning Skills
Students will develop the ability to independently update their knowledge, starting from what they learned, through autonomous consultation of technical and scientific sources, legislation, regulations, and relevant sector-specific guidelines.
Course Structure
Class lessons are held; for each topic, problems relating to practical engineering applications are solved by the students, under the guide and with the assistance of the teacher.
Required Prerequisites
Basic hydraulics knowledge is requested, with particular reference to general fluid kinematics and dynamics, and to uniform and steady open channel flow.
Attendance of Lessons
Class attendance is strongly recommended, coherently with the proposed educational model, aiming to promote a gradual learning, the active participation of students in class and the communication between the teacher and the students.
Detailed Course Content
A list of main topics follows.
The river system. Uniform, steady and unsteady open channel flow. Incipient motion and sediment transport. Resistance to flow in movable-bed channels. Water-sediment interaction: fluvial morphodynamics. Debris and mud flow. Principles of oceanography. Regular waves and their transformations. Irregular waves. Short-term and long-term statistical analysis. Wave design parameters. Surf zone hydrodynamics. Coastal processes.
Textbook Information
In the Studium class page, all the slides used during the lessons are available.
Two literature references are used for studying: the first one refers basically to the course part regarding river hydraulics, the second refers to maritime hydraulics, namely:
Armanini, A. Principi di Idraulica fluviale - Editoriale BIOS, 1999
US Army Corps of Engineers Coastal Engineering Manual, EM 1110-2-1100, 2002
http://www.publications.usace.army.mil/USACEPublications/EngineerManuals/tabid/16439/u43544q/636F617374616C20656E67696E656572696E6720
Course Planning
| Subjects | Text References | |
|---|---|---|
| 1 | Open channel uniform flow. Average shear stress. Stage-discharge relationship in a compound section. Composite sections. | |
| 2 | Steady flow profiles and their integration. Variable discharge steady flow.Application problems. | |
| 3 | Unsteady open channel flow: the kinematic model, the diffusive model, hydrological models. | |
| 4 | Shields theory for incipient motion. | |
| 5 | Sediment transport mechanisms. Sediment load. Wash load and bed material load. | |
| 6 | Bed load. Einstein Theory; Du Boys Theory; other formulae. | |
| 7 | Suspended load. | |
| 8 | Total load. | |
| 9 | Resistance to flow in mobile-bed channels. | |
| 10 | Bed forms; classification. Grain roughness and bed forms roughness. | |
| 11 | Mathematical models for river bed evolution: Exner equation, bed forms migration, water-sediment coupling. | |
| 12 | Debris and mud flows: origin, evolution and classification. Reological models for debris flows. Software for numerical modelling. | |
| 13 | Regular gravity waves. Irrotational flow. Inviscid fluid. Euler equation. Laplace equation. | |
| 14 | Progressive, regressive and stationary waves. Wave celerity. | |
| 15 | The dispersive relation. Progressive and stationary waves kinematics. Pressure distribution in progressive and stationary waves. | |
| 16 | Wave energy and power. Group celerity. | |
| 17 | Shoaling. Refraction. The wave ray. | |
| 18 | Breaking. Diffraction. Reflection. | |
| 19 | Surf zone hydrodynamics. | |
| 20 | Irregular waves. Wave train analysis; zero-crossing methods. The significant wave. Probability distribution for a sea-state short-term analysis. | |
| 21 | The spectral analysis. The significant height in shallow waters. Fetch and sea states. Parametric spectrum 2 models. Directional spectra. The SMB method. | |
| 22 | Criteria for choosing the design wave (long-term analysis). | |
| 23 | Coastal sediment transport and shoreline evolution. |
Learning Assessment
Learning Assessment Procedures
The final examination includes both theory and applied questions.
Two in progress written tests are held, each of them covering approximately 50% of the course content, consisting of 10 questions for each test (5 theory questions and 5 applied problems); each question can have a maximum score equal to 3. If a student passes both tests (each with a minimum score of 18/30), he/she will have the possibility of accessing a final oral exam, with a minimum score equal to the average of the scores obtained in the two in progress tests.
Examples of frequently asked questions and / or exercises
Uniform, steady and unsteady flow in compound and composite open channels. Steady flow profiles in natural streams. Bridge piers effects on the open channel flow and on movable river bed. Incipient motion criteria. Most used formulae to compute bed load and suspended load. Resistance to flow in natural streams. Rheological models for debris and mud flows. Linear theory of the monochromatic wave: the velocity potential, wave celerity, pressure and velocity. Shoaling, refraction, breaking. Short-term analysis of wave motion. Design wave computation. One-line models for shoreline evolution.