ID:
502473
Duration (hours):
50
CFU:
6
SSD:
IDRAULICA
Year:
2025
Overview
Date/time interval
Primo Semestre (29/09/2025 - 16/01/2026)
Syllabus
Course Objectives
The course will extend the concepts in the field of hydraulics acquired in the undergraduate courses to allow the general formulation of the fluid dynamic problems. Furthermore, the course will provide the fundamental theoretical concepts and mathematical tools for the formalization, analysis and solution of the relevant problems in the field of hydraulic engineering.
The students will become familiar with basic aspects of computer analysis and will acquire the techniques to investigate fundamental problems, such as: deformation analysis of a fluid particle; potential flows; experimental measure of rheological properties of fluids; linear surface water wave propagation and transformation.
The students will become familiar with basic aspects of computer analysis and will acquire the techniques to investigate fundamental problems, such as: deformation analysis of a fluid particle; potential flows; experimental measure of rheological properties of fluids; linear surface water wave propagation and transformation.
Course Prerequisites
Student must have a good command of mathematical foundations, including: basics of vector, matrix and tensor algebra; basic concepts of integral and differential calculus for real functions.
Also, the student should know the fundamentals of mechanical physics for engineers, including: hydrostatic equilibrium and concept of stress; conservation principles; Stevin, Euler and Bernoulli equation.
Also, the student should know the fundamentals of mechanical physics for engineers, including: hydrostatic equilibrium and concept of stress; conservation principles; Stevin, Euler and Bernoulli equation.
Teaching Methods
Lectures on: basic principles of Fluid Mechanics; conservation principles; constitutive equations for Newtonian fluids; non-Newtonian fluids; development and applications of Navier-Stokes, Euler, Bernoulli, and Laplace equations.
Practical classes on: analytical/numerical solution of Navier-Stokes equations for practical problems of concern in the field of Fluid Mechanics; filtration flow in porous media; experimental measure of fluid viscosity; computation of the relevant characteristics of linear waves.
Practical classes on: analytical/numerical solution of Navier-Stokes equations for practical problems of concern in the field of Fluid Mechanics; filtration flow in porous media; experimental measure of fluid viscosity; computation of the relevant characteristics of linear waves.
Assessment Methods
The final exam consists of an oral discussion on the theoretical topics and exercises developed within the course.
The student must demonstrate acquired capacity to: illustrate the problem (e.g., basic assumptions and input data); describe its mathematical formulation (e.g., system of partial differential governing equations and their physical meaning); illustrate the solution method (e.g., analytical or approximate-numerical); perform critical analysis of results (e.g., consistency with the assumptions and the theoretical aspects); explore the influence on results induced by varying input parameters.
The student must demonstrate acquired capacity to: illustrate the problem (e.g., basic assumptions and input data); describe its mathematical formulation (e.g., system of partial differential governing equations and their physical meaning); illustrate the solution method (e.g., analytical or approximate-numerical); perform critical analysis of results (e.g., consistency with the assumptions and the theoretical aspects); explore the influence on results induced by varying input parameters.
Texts
1) Aris R. "Vectors, tensors, and the basic equations of fluid mechanics" 1990 Dover pub ISBN-10: 0486661105.
2) Bear J. & Buchlin J-M. "Modelling and Applications of Transport Phenomena in Porous Media" Springer Science+Business Media, B.V. 1991. ISBN 978-94-010-5163-7
3) Citrini D., Noseda D. "Idraulica" CEA, Milano 1987
4) Dean R.G. & Darlymple R.A. "Water wave mechanics for engineers and scientists" 1991 World Scientific ISBN: 978-981-02-0421-1.
5) De Girolamo P., Franco L., Noli A. "Fondamenti di oceanografia e idraulica marittima per ingegneri", dispense del corso (in Italian).
6) Ghetti A. "Idraulica" Libreria int. Cortina - Padova 2004.
7) Kundu P. K., Cohen I. M., Dowling D. R. "Fluid Mechanics" 6th Ed. 2016 Elsevier A.P. ISBN: 9780124059351.
8) Wilkinson W.L. "Non-Newtonian fluids" 1960 Pergamon Press.
2) Bear J. & Buchlin J-M. "Modelling and Applications of Transport Phenomena in Porous Media" Springer Science+Business Media, B.V. 1991. ISBN 978-94-010-5163-7
3) Citrini D., Noseda D. "Idraulica" CEA, Milano 1987
4) Dean R.G. & Darlymple R.A. "Water wave mechanics for engineers and scientists" 1991 World Scientific ISBN: 978-981-02-0421-1.
5) De Girolamo P., Franco L., Noli A. "Fondamenti di oceanografia e idraulica marittima per ingegneri", dispense del corso (in Italian).
6) Ghetti A. "Idraulica" Libreria int. Cortina - Padova 2004.
7) Kundu P. K., Cohen I. M., Dowling D. R. "Fluid Mechanics" 6th Ed. 2016 Elsevier A.P. ISBN: 9780124059351.
8) Wilkinson W.L. "Non-Newtonian fluids" 1960 Pergamon Press.
Contents
Short review of physical and mathematical foundations: vector and tensor algebra.
Introduction to the analysis of local deformation and strain. Lagrangian and Eulerian description of motion. Rate of deformation tensor; vorticity tensor.
Review of the state of stress at a material point.
Control volume and material volume; Reynolds transport theorem.
Fundamental laws of fluid mechanics: continuity and momentum balance equations; general formulation of energy conservation principle.
Mathematical formulation of the dynamic problem for the isothermal flow of a Newtonian fluid. Navier-Stokes equation. Properties of conservative vector field. Special cases: fluid at rest, Stevin’s law; perfect fluid, Euler equation; steady barotropic potential flow of perfect fluid with conservative body forces, Bernoulli equation. Filtration flow in saturated porous media. Potential flow of incompressible fluid: Laplace equation. Darcy's law. Hydraulic conductivity matrix.
Two-dimensional shear flow and viscosity of a fluid; Newton's law of viscosity. Non-Newtonian rheological models: Bingham, pseudoplastic, dilatant. Apparent viscosity. Thixotropic fluids. Experimental measure of viscosity, coaxial cylinder rotational viscometer.
Small amplitude wave theory: definitions; generalized boundary conditions; mathematical formulation and solution of the linearized boundary value problem (BVP).
Relative water depth conditions. Wave celerity and the dispersion equation. Water particle kinematics and trajectories. Pressure field: dynamic pressure and pressure response factor.
Energy of the linear wave field: specific wave energy and group celerity. Wave propagation on cylindrical bathymetry: mild slope conditions; shoaling. Outline of spectral wave models and applications.
Introduction to the analysis of local deformation and strain. Lagrangian and Eulerian description of motion. Rate of deformation tensor; vorticity tensor.
Review of the state of stress at a material point.
Control volume and material volume; Reynolds transport theorem.
Fundamental laws of fluid mechanics: continuity and momentum balance equations; general formulation of energy conservation principle.
Mathematical formulation of the dynamic problem for the isothermal flow of a Newtonian fluid. Navier-Stokes equation. Properties of conservative vector field. Special cases: fluid at rest, Stevin’s law; perfect fluid, Euler equation; steady barotropic potential flow of perfect fluid with conservative body forces, Bernoulli equation. Filtration flow in saturated porous media. Potential flow of incompressible fluid: Laplace equation. Darcy's law. Hydraulic conductivity matrix.
Two-dimensional shear flow and viscosity of a fluid; Newton's law of viscosity. Non-Newtonian rheological models: Bingham, pseudoplastic, dilatant. Apparent viscosity. Thixotropic fluids. Experimental measure of viscosity, coaxial cylinder rotational viscometer.
Small amplitude wave theory: definitions; generalized boundary conditions; mathematical formulation and solution of the linearized boundary value problem (BVP).
Relative water depth conditions. Wave celerity and the dispersion equation. Water particle kinematics and trajectories. Pressure field: dynamic pressure and pressure response factor.
Energy of the linear wave field: specific wave energy and group celerity. Wave propagation on cylindrical bathymetry: mild slope conditions; shoaling. Outline of spectral wave models and applications.
Course Language
Italian
More information
Lecture notes can be downloaded from the course page on the platform KIRO
https://elearning.unipv.it
https://elearning.unipv.it
Degrees
Degrees (2)
CIVIL ENGINEERING
Master’s Degree
2 years
ENVIRONMENTAL ENGINEERING
Master’s Degree
2 years
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