# FLUID MECHANICS

OVERVIEW

The course provides basic training, both theoretical and practical, in fluid mechanics with particular emphasis on applications in industrial plant engineering. The student at the end of the course, in addition to a theoretical knowledge of the basics of statics and dynamics of the fluids, will be able to cope with simple applications that concern the evaluation of the pressures, forces exerted by a fluid on flat and curved surfaces and design simple industrial plants in stationary conditions.

## AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide students with the tools to correctly set the equations of integral and differential analysis of fluid motion and their solution. Furthermore, the operation of simple thermo-fluid dynamic machines and systems will be analyzed.

AIMS AND LEARNING OUTCOMES

Attendance and active participation in the proposed training activities (lectures, exercises and numerical exercises) and individual study will allow the student to:

* to know the fundamentals of fluid mechanics and its macroscopic description, continuous, in a differential and integral form;

* understand the differences between static and dynamic fluid systems;

* provide examples of fluid mechanics application to current life and process engineering;

* estimate flows, fluxes and forces in fluid systems;

* determine dimensionless relationships for systems with multiple variables;

* critically discuss the approximations introduced and results obtained.

PREREQUISITES

Basic knowledge of mathematics and physics is required for successful learning

Teaching methods

The module provides lectures in the classroom. The presentation of theoretical contents alternates exercises aimed at encouraging the learning and discussion of specific examples of applications. In addition, classroom experiments will be held to illustrate basic concepts.

SYLLABUS/CONTENT

The program of the module provides for the presentation and discussion of the following topics:

* Simple experiments to get to know the subject

* Description of a fluid, balance of mass, balance of momentum, equation of hydrostatics, equation of state

* Balance of an Interface, surface tension

* Hydrostatic; forces on a flat surface, forces on a curved surface

* Kinematics; position, speed, acceleration, stream lines

* Buckingham's theorem, pi theorem, complete and partial similitude

* Fluid in motion; mass conservation, average speed, momentum balance, calculation of forces

* Trinomio di Bernoulli; pitot tube, venturi tube

* Kinetic energy equation, load losses (concentrated and distributed)

* Navier-Stokes equation, viscosity, non dimensionalize an equation, dimensionless numbers (Reynolds, Froude, Mach, Euler)

* Exact solutions from the Navier-Stokes equation

* Stokes flow

* Potential flow

RECOMMENDED READING/BIBLIOGRAPHY

The teaching material used during the lessons will be available in aulaweb of the course, as well as the examples of final tests proposed in previous years. The notes taken during the lessons and the material in aulaweb are sufficient for the preparation of the exam, but the following book is suggested as a text of support and study.

Marchi e Rubatta, "Meccanica dei Fluidi", ed. Utet, 1981

## TEACHERS AND EXAM BOARD

**Ricevimento:** The teacher receives on appointment at DICCA, Via Montallegro 1, hydraulic laboratory, Genoa. Interviews can be made, even via skype at: janpralits
For appointments send an email to: jan.pralits@unige.it.

Exam Board

JAN OSCAR PRALITS (President)

RODOLFO REPETTO

ALESSANDRO BOTTARO

## LESSONS

Teaching methods

The module provides lectures in the classroom. The presentation of theoretical contents alternates exercises aimed at encouraging the learning and discussion of specific examples of applications. In addition, classroom experiments will be held to illustrate basic concepts.

LESSONS START

February 2019

## EXAMS

Exam description

The final exam consists in passing 1) two written tests or 2) an oral exam.

1)

There will be an intermediate test and a final test, both during the lesson period.

Each test is composed of 5 problems that must be solved with an analytical procedure with support of a calculator and tables and diagrams. The duration of a test is 3 hours. The students find examples of tests proposed in previous years in aulaweb of the course and some of which, at the request of the students, are carried out in detail in class.

Students must pass each written test with a minimum grade of 18/30. The final grade is the average score of the two tests. A failed test can be redone during on of the exam periods. Three exam sessions will be available for the 'winter' session (January, February and during the teaching break provided by the Scuola Politenica at Easter) and 3 occasions for the 'summer' session (June, July, September).

2)

For those who do not want to take the tests (1), there is the possibility of an oral exam on the content of the whole course. The oral exam will be during one of the scheduled exam occasions.

For the final grade, both in case 1) and 2), the optional creation of a video on fluid mechanics will also be evaluated (1 - 3 points in addition to the final average of the module).

Assessment methods

Details on how to prepare for the exam and the degree of depth of each topic will be given during the lessons. Written tests focus on 5 exercises and application on the topics indicated below.

The first test will be on each of the following five topics: description of a fluid, equation of state, hydrostatics, kinematics, Buckingham's theorem and similitude

The second test will be on each of the following five topics: calculation of the forces for a moving fluid, trinomio di Bernoulli and load losses, exact solutions of the Navier-Stokes equation, potential flow, Stokes flow