OVERVIEW

Hydrodynamics studies the motion of fluids and their interactions with the contours and with bodies. In this course, proposed for the Master's Degree, topics more advanced than those proposed in the Degree course will be presented.

AIMS AND CONTENT

LEARNING OUTCOMES

Provide the student with the necessary knowledge to tackle the study of the motion of bodies within viscous fluids.

AIMS AND LEARNING OUTCOMES

On completion of the course, the student will have acquired knowledge that will enable him or her to:

• correctly formulate the problem of the motion of a viscous fluid with both rigid and deformable contours.
• compute the flow field in the case of unidirectional flows.
• use simplified models appropriate in the case of flows with high values   of the Reynolds number, both far and near the boundaries.
• formulate the motion of a fluid in the turbulent regime in terms   of averaged quantities, even near the boundaries.
• understand turbulence models that are commonly available  both in    commercial and open-source codes.    
• understand the components of the force that a moving fluid exerts   on a body within it.

TEACHING METHODS

The teaching is divided into lectures and tutorials, both conducted by the teacher. In the lectures, the theoretical part of the teaching will be exposed. The theoretical part will be supplemented with examples and exercises, carried out in the classroom by students under the supervision of the teacher.
The exercises will consist of classroom correction of exercises, proposed beforehand, which the student will have done independently at home.
Students with valid certifications for Specific Learning Disorders (SLDs), disabilities or other educational needs are invited to contact the teacher and the School's disability liaison at the beginning of teaching to agree on possible teaching arrangements that, while respecting the teaching objectives, take into account individual learning patterns.

SYLLABUS/CONTENT

1. Kinematics. Eulerian and Lagrangian description, material derivative. Principle of mass conservation.
2. Dynamics. Tension and stress tensor. Momentum principle, momentum moment principle.
3. The constitutive relation for a Newtonian fluid, continuity and Navier Stokes  equations. Boundary conditions.Exact solutions of  Navier-Stokes equations. Unidirectional flows.
4.  Ideal fluid. The scheme of irrotational flow. D'Alembert paradox. Two-dimensional irrotational motions. Flow field generated by a cylinder translating with constant velocity.
5. Flow field and forces on bodies in motion in a fluid.  Drag and lift.  Lift of slender bodies:  the Kutta hypothesis. Added mass force. Induced drag. Morison equation.
7. Flow at high Reynolds numbers. Simplified equations of the boundary layer. Blasius solution. Von Karman integral equation. Boundary layer on flat plate in the  laminar and in the turbulent regime. Transition to turbulence in the boundary layer. Separation of the boundary layer and introduction to the  the control systems of the boundary layer.
8. Turbulent flows. Average speed and pressure, the Reynolds equations. The problem of closure and Boussinesq hypothesis. Near_wall turbulence.  Introduction to  two-equations turbulence  models

RECOMMENDED READING/BIBLIOGRAPHY

Teacher's notes (downloadable from AulaWeb)

Ronald Panton "Incompressible flow" Wiley and Sons

Pijush K. Kundu, Ira M. Cohen and David R. Dowling "Fluid Mechanics - fifth edition" Elsevier 2012

G. K. Batchelor "An introduction to fluid dynamics" Cambridge university  press

TEACHERS AND EXAM BOARD

Exam Board

GIOVANNA VITTORI (President)

ANDREA BACIGALUPO

PAOLO BLONDEAUX

ROBERTA MASSABO'

MARCO MAZZUOLI

RODOLFO REPETTO

NICOLETTA TAMBRONI

ILARIA MONETTO (President Substitute)

LESSONS

LESSONS START

https://corsi.unige.it/8738/p/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam consists of a first written part and an oral part.
The written test will be corrected immediately after its completion in the presence of the student. The discussion of the written test is part of the oral examination.
To be eligible for the oral part, it is necessary to have passed the written test.
The oral part, which consists of two questions on the topics covered in the module, will take place immediately after the written test has been corrected and passed.

ASSESSMENT METHODS

The written part of the exam is aimed at ascertaining that the student has reached the minimum level of the training objectives.

The oral part is directed at ascertaining the student's knowledge of the various topics covered in the course and their level of depth. Clarity of reasoning, competence in the use of scientific terms, and the ability to make connections between the different topics of the module are also assessed.

Exam schedule

FURTHER INFORMATION

Contact the teacher for additional information not included in the teaching sheet.