2019/2020

2019/2020

DM270

ICAR/01 (HYDRAULICS)

DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

ENVIRONMENTAL ENGINEERING

PERCORSO COMUNE

1°

1st semester (30/09/2019 - 20/01/2020)

6

48 lesson hours

Italian

WRITTEN AND ORAL TEST

MANENTI SAURO (titolare) - 6 ECTS

Basics of vector and tensor algebra.
Mathematical foundations.
Integral theorems (Stokes and Gauss).

At the end of the Course, the student will acquire the fundamental theoretical concepts and mathematical tools for the computer analysis of relevant problems in the hydraulic engineering field, such as: free surface water waves, filtration flows in porous media, transient flows, stationary hydrodynamic forces on surfaces.

Review of mathematical foundations: vector and tensor algebra; coordinate systems; Stokes theorem and Gauss theorem.
Analysis of stress: the continuum concept; Cauchy stress principle; stress tensor; principal stress; deviator and spherical stress tensor.
Deformation and strain: Lagrangian and Eulerian description; small deformation theory; strain tensor; principal strains; spherical and deviator strain tensor; plane strain; compatibility equations; velocity gradient tensor; rate of deformation tensor; vorticity tensor.
Fundamental laws of continuum mechanics: mass conservation - continuity equation; Reynolds transport theorem; linear momentum conservation; angular momentum conservation; energy conservation.
Constitutive equations: Newtonian fluid.
Navier-Stokes equations; special cases: perfect fluid; Euler and Bernoulli equations; Kelvin theorem. Global momentum equation. Filtration flows in porous media. Analogy with heat conduction in solids.
Common non-Newtonian rheological models. Viscous fluid dampers for vibration control.
Small amplitude wave theory: solution of the linearized boundary value problem (BVP); dispersion equation; water particle kinematics and trajectories; pressure field; energy of the wave field; wave propagation on cylindrical bathymetry; mild slope conditions; shoaling and refraction. Spectral wave models and applications.

Lectures and practical classes

Aris R. "Vectors, tensors, and the basic equations of fluid mechanics" 1990 Dover pub ISBN-10: 0486661105.
Chou P.C. & Pagano N.J. "Elasticity, tensor, dyadic, and engineering approaches" 1992 Dover pub ISBN-13: 978-0486669588.
Citrini D., Noseda D. "Idraulica" CEA, Milano 1987
Dean R.G. & Darlymple R.A. "Water wave mechanics for engineers and scientists" 1991 World Scientific ISBN: 978-981-02-0421-1.
De Girolamo P., Franco L., Noli A. "Fondamenti di oceanografia e idraulica marittima per ingegneri", dispense del corso (in Italian).
Ghetti A. "Idraulica" Libreria int. Cortina - Padova 2004.
Prager W. "Introduction to mechanics of continua" Ginn and Co. 1961
Wilkinson W.L. "Non-Newtonian fluids" 1960 Pergamon Press.

Oral exam on problems proposed during practical classes, with discussion of related theoretical aspects.

Lecture notes can be downloaded from the course page on the platform KIRO (https://elearning2.unipv.it/ingegneria/)