01UCJMX

A.A. 2023/24

Course Language

Inglese

Course degree

Master of science-level of the Bologna process in Ingegneria Civile - Torino

Course structure

Teaching | Hours |
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Teachers

Teacher | Status | SSD | h.Les | h.Ex | h.Lab | h.Tut | Years teaching |
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Teaching assistant

Context

SSD | CFU | Activities | Area context |
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ICAR/01 | 6 | D - A scelta dello studente | A scelta dello studente |

2022/23

The course is a brief introduction to mixing and transport processes occurring in aquatic environments and atmospheric boundary layers. Despite having a fairly rich theoretical basis, the course will be taught by introducing equations and concepts within the context of specific applications that are of interest to Environmental and Civil engineers.

The course is a brief introduction to mixing and transport processes occurring in aquatic environments and atmospheric boundary layers. Despite having a fairly rich theoretical basis, the course will be taught by introducing equations and concepts within the context of specific applications that are of interest to Environmental and Civil engineers.

At the end of the course the students will be able to:
- Identify and critically assess transport processes in aquatic and atmospheric environments
- Describe and quantify turbulence properties of open channel flows and atmopsheric boundary layers.
- Apply and manipulate equations describing the transport of contaminants in the environment
- Model simple morphodynamic processes in riverine environments
- Apply models to simulate the fate of contaminants in rivers and atmospheric flows

At the end of the course the students will be able to:
- Identify and critically assess transport processes in environmental flows
- Describe and quantify turbulence properties of environmental flows
- Apply and manipulate equations describing the transport of contaminants in the environment
- Critically analyse and identify effects of stratification on turbulent and mixing properties of atmospheric boundary layers

Basic knowledge of calculus; basic knowledge of Fluid Mechanics and/or Hydraulics;

Basic knowledge of mechanics (concepts of momentum, acceleration and force) and calculus including derivation, integration and differential equations (partial and ordinary);

- Introductory concepts
Water and air quality issues (also within the context of climate change); an overview of transport processes occurring in the aquatic and atmospheric environment; Approaches to environmental management; basic definitions (concentration, flux, dimensional analysis and the pi-theorem);
- Molecular diffusion
Fick’s law; basic diffusion equation; fundamental solution and its mathematical properties; Solutions of the Diffusion Equation for Various Initial and Boundary Conditions; effects of boundaries; advective diffusion equation and applications; effects of chemical reactions.
- Turbulence and turbulent diffusion
Definition of turbulence; Reynolds experiment; Reynolds number; statistical description of turbulence: Reynolds decomposition and definition of ensemble/ temporal averaging; Conservation of momentum and physical meaning of the Reynolds stress tensor components; Conservation equations for Turbulent and Mean Kinetic Energy; the problem of closure; turbulence phenomenology: energy cascade, Kolmogorov length and velocity scales; Kolmogorov spectrum; wall turbulence; Taylor’s theory of turbulent diffusion; turbulent diffusion equation.
- Shear flow dispersion
Taylor’s theory of shear dispersion for laminar and turbulent flows.
- Scalar and particles transport in rivers
Vertical, transverse and longitudinal mixing: idealised cases and effects from complicating factors; computation of the full-mixing length; longitudinal dispersion: Elder’s solution vs real cases; transverse-shear effects; Hyporheic transport; basics concepts of sediment transport in rivers: sediment characterization, Shields’ incipient motion theory, slope effects, flow resistance and bed-forms; suspended, bed-load and total sediment transport formulae.
- The atmospheric boundary layer
Virtual potential temperature; Boundary layer structure and growth; concept of stability; effects of temperature on wall turbulence: characteristic velocity and length scales of the atmospheric Boundary layer; Monin-Obukhov Similarity theory; Fundamentals of atmospheric dispersion modelling.

- Introductory concepts
Water and air quality issues (also within the context of climate change); an overview of transport processes occurring in the aquatic and atmospheric environment; Approaches to environmental management; basic definitions (concentration, flux, dimensional analysis and the pi-theorem);
- Molecular diffusion
Fick’s law; basic diffusion equation; fundamental solution and its mathematical properties; Solutions of the Diffusion Equation for Various Initial and Boundary Conditions; effects of boundaries; advective diffusion equation and applications; effects of chemical reactions.
- Turbulence and turbulent diffusion
Definition of turbulence; Reynolds experiment; Reynolds number; statistical description of turbulence: Reynolds decomposition and definition of ensemble/ temporal averaging; turbulence phenomenology: energy cascade, Kolmogorov length and velocity scales; wall and free shear flows; turbulent diffusion equation; Taylor's theory.
- Shear flow dispersion
Taylor’s theory of shear dispersion for laminar and turbulent flows.
- Scalar and particles transport in rivers
Vertical, transverse and longitudinal mixing: idealised cases and effects from complicating factors; computation of the full-mixing length; longitudinal dispersion: Elder’s solution vs real cases; transverse-shear effects; basics of Hyporheic transport;
- The atmospheric boundary layer
General atmospheric circulation; geostrophic approximation; the Ekman layer; Virtual potential temperature; Boundary layer structure and growth; concept of static and dynamic stability; effects of temperature on wall turbulence: characteristic velocity and length scales of the atmospheric Boundary layer; Similarity theories;

In order to support students in their Learning process, office hours of the lecturer will be agreed right at the beginning of the course.

In order to support students in their Learning process, office hours of the lecturer will be agreed right at the beginning of the course.

The module for Environmental Fluid Mechanics is divided in 40 hours of frontal lectures (mainly at the blackboard, with support of power point presentations only where necessary) and 20 hours of PC-assisted tutorials. Students will be given homeworks to prepare for the exam.

The module for Environmental Fluid Mechanics is divided in 40 hours of frontal lectures (mainly at the blackboard, with support of power point presentations only when necessary) and 20 hours of tutorials (some of them are PC-assisted). Students will be given homeworks to prepare for the exam.

HB Fischer et al "mixing in inland and Coastal waters"
Tennekes and Lumley "a first course in turbulence"
S. Pope "Turbulent flows"
R.B. Stull "An introduction to Boundary layer meteorology"
JC Kaimal and J J. Finnigan "Atmospheric boundary layer flows"
The lecturer will also provide some further material in the form of lecture notes.

HB Fischer et al "mixing in inland and Coastal waters"
Tennekes and Lumley "a first course in turbulence"
S. Pope "Turbulent flows"
R.B. Stull "An introduction to Boundary layer meteorology"
JC Kaimal and J J. Finnigan "Atmospheric boundary layer flows"
The lecturer will also provide some further material in the form of lecture notes.

The final exam include:
- 2 written tests: one for Hydrology and one for Env. Fluid mechanics. The average of both tests will weight 80% of the final mark
- An oral (Power Point) presentation accounting for 20% of the final mark.
The written exam of Environmental Fluid Mechanics lasts for two Hours and consists of three questions which may include numerical problems as well as theoretical questions (these include derivations). Each question is worth 10 points so that the maximum score is 30. The students can bring to the exam only their pen and a calculator. They will be given a formulae-sheet in support of the solutions of numerical problems. The evaluation of the exam-scripts will take into account the correctness of the solutions and the clarity of the presentation.
The written exam of Applied Hydrology (2 hours duration) is aimed at verifying the achievement of a sufficient autonomy in facing a typical problem of hydrological evaluation of extremes or water resources. The exam script contains 2-3 exercises, one or two open questions and some multiple-choice questions. The exercises will be solved without the use of laptops and the questions will focus on the topics covered in class. The evaluation of the exam will take into account the resolution methods, the correctness of the numerical solutions, the demonstrated knowledge and the clarity of the presentation.
The oral presentation lasts for 20 minutes and will be targeting a topic covering aspects of both Applied Hydrology and Environmental Fluid Mechanics. The topic will be given to the students half way through the course. This presentation will reflect the work done by groups of 4 students and will be evaluated on the basis of its rigour and clarity.

Gli studenti e le studentesse con disabilità o con Disturbi Specifici di Apprendimento (DSA), oltre alla segnalazione tramite procedura informatizzata, sono invitati a comunicare anche direttamente al/la docente titolare dell'insegnamento, con un preavviso non inferiore ad una settimana dall'avvio della sessione d'esame, gli strumenti compensativi concordati con l'Unità Special Needs, al fine di permettere al/la docente la declinazione più idonea in riferimento alla specifica tipologia di esame.

The final exam include:
- 1 written test accounting for 80% of the exam
- An oral (Power Point) presentation accounting for 20% of the final mark.
The maximum score for the whole exam is 30+Lode.
The written exam lasts for two Hours and consists of three questions which may include numerical problems as well as theoretical questions (these may include derivations). Each question is worth 10 points so that the maximum score is 30. The students can bring to the exam only their pen and a calculator. They will be given a formulae-sheet in support of the solutions of numerical problems. The evaluation of the exam-scripts will take into account the correctness of the solutions and the clarity of their presentation. The "Lode" is given in circumstances whereby the student, besides carrying out correctly the whole test, shows e.g. exceptional clarity and rigour or finds creative solutions to the given questions.

In addition to the message sent by the online system, students with disabilities or Specific Learning Disorders (SLD) are invited to directly inform the professor in charge of the course about the special arrangements for the exam that have been agreed with the Special Needs Unit. The professor has to be informed at least one week before the beginning of the examination session in order to provide students with the most suitable arrangements for each specific type of exam.

© Politecnico di Torino

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY