Politecnico di Torino
Politecnico di Torino
Politecnico di Torino
Academic Year 2016/17
Hydraulics II
Master of science-level of the Bologna process in Civil Engineering - Torino
Teacher Status SSD Les Ex Lab Tut Years teaching
Bianco Gennaro ORARIO RICEVIMENTO     50 26 4 0 14
SSD CFU Activities Area context
ICAR/01 8 B - Caratterizzanti Ingegneria civile
Subject fundamentals
The main objective is to develop both the proper understanding of any set of problems related to hydraulics and the capacity of choosing the correct methods for different time and space scales.
Expected learning outcomes
The academic course ‘Idraulica II’ is part of the curriculum to achieve the Master’s degree in civil engineering specialising in hydraulics. After the in-depth analysis of topics belonging to the ‘Idraulica I’ course, new specific themes are introduced such as turbulence, macro surface roughness, waves, physical modelling, sediment transport, flow in filtrating systems.
Prerequisites / Assumed knowledge
Knowledge of differential calculus, basic notions of mathematical physics and fundamentals of fluid mechanics.
Recap of basic hydraulics. Real fluids: types and rheological models. Navier-Stokes equations - Dimensionless version and physical meaning – Slow moving flow - Laminar flow – Analytical and numerical integration cases
Boundary layer turbulence – Velocity distribution - Vortex sheet – Boundary layer turbulence in presence of macro surface roughness- Fluid resistance laws in case of geometrical and non-geometrical surface roughness
Complements of the Pi Theorem – Complete and incomplete self-similarity – Use of physical modelling in hydrodynamics – Physical models in hydraulic engineering.
Water wave mechanics.
Waves of translation (shallow-water) and waves of oscillation (deep-water) - Long and short wavelengths - Rapid front waves. Theory. Irrotational waves - Waves propagation - Orbital motion - Transportation velocity - Waves shoaling - Capillary waves - Implications for physical models – Energy methods in the study of the wave flow. Group and phase velocity, energy and energy propagation in progressive waves - Reflection and transmission of rapidly rising-bottom waves
General overview of flows in natural streams, considering the solid-liquid interface and the resulting bed-load transport.
Sediment transport mechanisms:
Hydrodynamic mechanism - theoretical and practical aspects
Turbulence role on bed-load and suspended load motion. Outlines of non-cohesive sediment transport - Incipient motion - Homogeneous or heterogeneous grain size distributions - available methods - comparison. Concentration of the solid phase, real stream capacity. Complementary information on theories and formulas for the calculation of bed load motion- applications and expected results. Suspended load motion. Introduction to sediment transport of coherent material.
Modelling of natural stream flows: one-dimensional scheme, quasi two-dimensional scheme, two-dimensional scheme - Motion and continuity equation - outlines of solution methods. One-dimensional scheme. Main characteristics. Surface and bottom waves celerity - Bedform, different types and formation criteria in sand and gravel riverbeds. Threshold of movement. Fluid resistance laws.
Theoretical principles for 1D mathematical models relative to fluvial morphology: Parabolic and hyperbolic models for the study of evolutionary phenomena at different spatial and temporal scales. Examples of practical applications.
Balances of sediment transport – evolutionary trends – erosion/ deposit of the river bed and its dynamic equilibrium
Physical models with mobile bedforms: similar and distorted models with a constant Froude number for the study of local phenomena (mechanical similitude, scales etc.)
Dispersive-viscoplastic mechanism
Hyperconcentrated flows: single and two-phase schemes. Internal stress – turbulent dispersive stress – role of the interstitial fluid and of granular and clay sediments.
• Immature debris-flow: solid material concentration in hyperconcentrated flows – calculation of the solid material concentration. Simplification of formula for the case è>>ècr. Example of the calculation of the water level increase due to the increase of solid material concentration.
• Mature debris-flow (granular and muddy material) : Types of debris-flow. Rheological models. Bagnold’s dispersive stress. Viscous and granular-inertial regimes. Choice of the possible rheological model.
Dynamical characteristics and impact forces. Examples.
Delivery modes
In addition to the taught modules, the class exercises are dedicated to practical examples fundamental to develop the student’s ability to solve hydraulic engineering problems.
Texts, readings, handouts and other learning resources
The teaching material, available on the web page of the course, consists in compendiums written by Prof.Bianco and copies of the projected material from the classes.
For specific in-depth analyses the following text books are suggested:
E. Marchi & A. Rubatta- Meccanica dei fluidi: principi e applicazioni idrauliche – UTET- Torino
A. Ghetti – Idraulica – Edizioni Libreria Cortina – Padova -
C. Montuori – Complementi di Idraulica – Liguori Editore – Napoli – 2002
H. W. Graf & M. Altinakar - Fluvial Hydraulics – John Wiley & Sons – England
Assessment and grading criteria
The final exam consists in an oral discussion through which the candidate should demonstrate to possess notions and solving methods for recurring problems in hydraulic engineering.
The final outcome of the examination will be based on the evaluation of the exercises produced throughout the course and the outcome of three oral questions. The final mark is the resulting average of the four marks.

Programma definitivo per l'A.A.2016/17

© Politecnico di Torino
Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY
WCAG 2.0 (Level AA)