Teacher

prof. Marco PETTI

Credits

12 CFU

Objectives

Acquire proficiency in fundamental notions of fluid mechanics, with particular refer to incompressible fluids.Learn the basic principles of conservation of mass, momentum and energy. Learn how to apply, following an Eulerian approach, the momentum equation, in its differential and integral form, to solve simple problems of fluid mechanics. Learn to solve uniform and steady flow problems in pipes and in surface waters, also using some base concepts of unsteady flow.

Acquired skills

- Basic notions of fluid mechanics.
- Learn how to apply in a correct way the equations of fluid static and dynamic.
- Learn how to evaluate load conditions for structures interacting with fluids.
- Learn how to evaluate flow field and stresses in laminar and turbulent motion.
- Basic notions of pressure pipes and open channel hydraulics.
- Learn how to solve simple pressure pipes problems.
- Learn how to solve simple open channel flow problems.

Contents

PROPERTIES OF FLUIDS: Fluid's proprieties. Viscous and inviscid fluids. (4 hours) DIMENSIONAL ANALYSIS: Buckingham's theorem. (2 hours) STRESS TENSOR: Stress tensor. (2 hours) HYDROSTATICS: Hydrostatic forces, manometers. Piezometric head. (8 hours) KINEMATICS OF FLUID MOTION: Eulerian and Lagrangian description of motion. Streamlines. (3 hours) DYNAMIC OF FLUID MOTION: Integral Approach. Reynolds theorem. Conservation of mass and momentum. Differential Approach. Navier-Stokes equations. Initial and boundary conditions. (8 hours) DYNAMIC OF INVISCID FLUIDS: Euler equations and boundary conditions. Bernoulli's theorem. (8 hours) DYNAMIC OF VISCOUS FLUIDS: Laminar flow. Turbulent flow. Reynolds' stress tensor. (10 hours) UNIFORM FLOW IN PIPE FLOW: Uniform flow equation. Friction loss (3 hours) STEADY FLOW IN PIPE FLOW: Steady flow equation. Pipe networks. Steady flow. Analysis and design of water distribution networks. (6 hours) UNSTEADY FLOW IN PIPE FLOW: Gradually-varied-flow equation. Water hammer. (10 hours) OPEN CHANNEL FLOW: Natural and prismatic channel. Energy line. Critical depth. Specific-energy curve. Critical velocity. Subcritical and ipercritical flow. (2 hours) UNIFORM FLOW IN OPEN CHANNEL FLOW: Chezy's and Gauckler Strickler's resistance factors. Critical slope. Mild and steep channels. Channel's design. (2 hours) STEADY FLOW IN OPEN CHANNEL FLOW: Uniform flow in open channel flow. Solution for sustaining, horizontal and adverse slope. Boundary conditions. Bresse's solution for wide rectangular channels. Hydraulic jump. (10 hours) FLUID MOTION THROUGH POROUS MEDIA: Darcy-Ritter law and engineering applications (2 hours) EXERCISES: Static of fluids and pressure distribution. Hydrostatic forces. Bernoulli's theorem. Dynamic forces. Uniform and steady flow in pipes. Pipe networks. Unsteady flow in pipes. Uniform and steady flow in open channels. Groundwater flow. (32 hours)

References:

- IDRAULICA, D. Citrini e G. Noseda, Casa Editrice Ambrosiana, Milano
- MECCANICA DEI FLUIDI principi ed applicazioni idrauliche, E. Marchi e A. Rubatta, UTET

Type or exame:

Written and oral