Università degli Studi di Napoli "Parthenope"

Teaching schedule

Academic year: 
Belonging course: 
Course of Master's Degree Programme on NAVIGATION SCIENCE AND TECHNOLOGIES
Disciplinary sector: 
Year of study: 
Second semester
Hours of front activity: 


Lectures are in Italian. The professor is available to interact in English in class and during exams

Course description

The course aims to provide students with the basic, theoretical and applied knowledge, of the so-called Environmental Fluid Dynamics.
- Knowledge and understanding: The student must demonstrate the knowledge of the course contents and the best practices to tackle phenomena inducing chenges in the concentration of substances within a fluid environment.
- Ability to apply knowledge and understanding: The student must demonstrate the ability to apply the correct approach to situations of input of substances into a fluid environment, on the basis of the available data and of the requested output.
- Autonomy of judgment: Students must be able to independently evaluate different situations wrt the standard ones presented by the teacher during the course, and to adopt the best resolution methods.
- Communicative Skills: The student must have the ability to present the course material within an oral examination using the correct scientific language.
- Learning Skills: Students must be able to continue their education in the future through the consultation of texts and publications (mainly in English) in order to acquire the ability to deepen the understanding of transport and transformation processes in a fluid environment.


Knowledge provided by the courses of:
- Calculus I and II
- Physics I and I


- Physical transport processes (2hrs)
Definition of concentration

- Eulerian approach to physical transport. (10hrs)
Fick’s law
Diffusion equation
Buckingham’s pi theorem
Solution of the diffusion equation for a point release in space and time, for a continuous release in space and/or in time
Advection-diffusion equation
Peclet number

- Lagrangian approach to physical transport. (10hrs)
Random walk
Bernoulli’s distribution
Lagrangian diffusivity
Relationshiop between random wald and diffusion equation
Equivalence between the two approaches, Eulerian concentration and Lagrangian probability

- Chemical, physical and biological transformations (4hrs)
Advection-diffusion-reaction equation

- Three- and two-dimensional turbulence (4hrs)
Single particle statistics: Taylor diffusion

- Chaotic advection (6hrs)
Logistic map
Mixing and determinist chaos
Particle pair statistics: Lyapunov exponents

- Modelling applications to search and rescue at sea (2hrs)
- Modelling applications to water and air quality (4hrs)
- Examples of applications in the Mediterranean Sea and its subbasins (6hrs)

Teaching Methods

Frontal lessons, integrated with seminars by experts and exercises


- notes and presentations available on the e-learning portal
- Scott A. Socolofsky & Gerhard H. Jirka: Environmental Fluid Mechanics Part I: Mass Transfer and Diffusion
(downloadable from the web: https://ceprofs.civil.tamu.edu/ssocolofsky/ocenx89/downloads/book/socolo...)
- GT Csanady: Turbulent Diffusion in the Environment, Reidel pub
- A Vulpiani: Determinismo e Caos, Carocci ed.

Learning assessment

Oral examination, which includes an application of a water or air quality model

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