# HYDRODYNAMICS A

**Pleasure Craft Engineering 8721 (coorte 2019/2020)**- MATHEMATICAL ANALYSIS + GEOMETRY 98339

**INGEGNERIA E DESIGN PER LA NAUTICA 10134 (coorte 2019/2020)**- MATHEMATICS + GEOMETRY 56973
- GENERAL PHYSICS 56987

**Pleasure Craft Engineering 8721 (coorte 2019/2020)**- NAVAL ARCHITECTURE A 60505
- NAVAL ARCHITECTURE 1 60506

**INGEGNERIA E DESIGN PER LA NAUTICA 10134 (coorte 2019/2020)**- NAVAL ARCHITECTURE A 60505
- NAVAL ARCHITECTURE 1 60506

OVERVIEW

The course of HYDRODYNAMICS provides the first basic knowledges on Fluid Mechanics to the students of the study course of Ingegneria Nautica. This course spans approximately 60 hours over one semester and provides 6 credits.

## AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide students the foundation for the study of fluid dynamics, that is, the tools for the description of the motion of fluids and for the prediction of their movement knowing the forces exerted on them .

AIMS AND LEARNING OUTCOMES

**Operative skills:** Evaluation of hydrostatic forces on immersed plane and curved surfaces. Design and analysis of simple pipelines, also with the use of fluid machineries.

Teaching methods

The lectures are organized in about 12 lessons. Eachone characterised by a first theoretical part and a second part of practice, with example problems.

**To the end of guaranteeing the implementation of the anti-covid19 regualtion, the lessons could be given completely or partly (mixed teaching) online in direct streaming.**

SYLLABUS/CONTENT

*Fundamentals of fluid mechanics* - Fluid properties and classification. The continuum hypothesis. Cinematics of fluids. Eulerian and Lagrangian description of motion. Volume and surface forces acting on a fluid, pressure and stresses. Stress tensor in a fluid at rest. Hydrostatic law. Stress tensor in a fluid in motion. Material and local derivatives. Conservation of mass and momentum principles in integral and local forms. Inviscid fluid and Bernoulli's theorem.

*Dimensional analysis - The* π theorem. Similitude and modelling.

*Fluid at rest: hydrostatics* - Pressure distribution in an incompressible fluid and in a compressible, barotropic fluid. Forces on immersed plane and curved surfaces. Buoyancy. Stability of floating and immersed bodies.

*Fluid in motion - Fluid current:* definition of cross-averaged quantities. Conservation of mass and momentum principles for a current.

*Pipe flow*: evaluation of friction losses and local dissipations of energy in a steady and uniform flow. Design and analysis of simple pipe systems. Hints on pumps and turbines.

RECOMMENDED READING/BIBLIOGRAPHY

- Lecture notes (provided through the course web site, www.
*aulaweb*.unige.it) - P.K. Kundu & I.M. Cohen, "Fluid mechanics", Academic Press, 2015
- D. Pnueli & C. Gutfinger, "Fluid mechanics", Cambridge University Press, 1992
- G.K. Batchelor, "An introduction to fluid dynamics", Cambridge University Press, 1967

## TEACHERS AND EXAM BOARD

**Ricevimento:** The student reception is encouraged and will take place:
in the office of the Professor (in Villa Cambiaso, Via Montallegro 1, Genova) upon appointment;
by arranging an online meeting (using Teams, Skype or Hangouts).

Exam Board

MARCO MAZZUOLI (President)

## LESSONS

Teaching methods

The lectures are organized in about 12 lessons. Eachone characterised by a first theoretical part and a second part of practice, with example problems.

**To the end of guaranteeing the implementation of the anti-covid19 regualtion, the lessons could be given completely or partly (mixed teaching) online in direct streaming.**

LESSONS START

Lessons will start on the 21th September 2020.

The lectures will be given during the first semester weekly on Wednesday morning between 9 am and 1 pm.

## EXAMS

Exam description

Examination consists of a** written test **and an **oral interview** on the entire course program. Three appeals take place in the summer session (June, July and September) and two appeals in the winter one (January and February). The written part consists of the solution of 4-5 exercises focusing on:

- forces on submerged plane surfaces
- forces on submerged curved surfaces
- the conservation of mass and momentum principles
- applications of Bernoulli's theorem for fluid currents
- the design of simple pipe systems

Candidates must be provided with pen, pencil, rubber and calculator. Books or texts and mobile phones are not allowed.

In order to access to the interview, the student is required to pass (score larger than 18) the written examination. The oral interview consists of questions on the written test and on the program in general.

Alternatively, there will be **two midterm exams** (the first generally in November and the second at the end of December) that will grant, if passed (average score larger than 18), direct admission to a brief oral interview (to be held in January). Only the students achieving a score larger than 15 in the first midterm examination are allowed to access to the second midterm examination.

Assessment methods

The written test typically aims to ascertain the ability to apply the principles of fluid mechanics and to solve complex engineering problems that can be tackled in few hours, with the use of simple means of calculation (calculator with the four operations and simple mathematical functions). The interview completes the written part, dealing with the subjects whose learning cannot be directly ascertained with the written test. In the interview, questions that require the solution of simple problems on the blackboard are asked to the candidate. The interview also allows for a verification of the student's communication skills.

## FURTHER INFORMATION

**Exam subscription**

It is mandatory to subscribe on-line, WITHIN AT LEAST 3 DAYS BEFORE the day of the test.