CODE 66279 ACADEMIC YEAR 2024/2025 CREDITS 6 cfu anno 1 INGEGNERIA NAVALE 8738 (LM-34) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR ICAR/01 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester MODULES Questo insegnamento è un modulo di: STRUCTURAL MECHANICS AND HYDRODYNAMICS TEACHING MATERIALS AULAWEB 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 The aim of the course is to provide the student with advanced knowledge of fluid dynamics. At the end of the course the students will have acquired knowledge that will make them able 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 held by the teacher, in which the theory will be exposed, and exercises. In the lectures, the theory will be applied to different examples. In the part devoted to exercises, the student will carry out independently exercises proposed by the teacher. The exercises will be corrected in the classroom by the teacher. Students who have valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the professor of the course and with Professor Federico Scarpa (federico.scarpa@unige.it ), the Polytechnic School - Engineering's disability liaison. 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 GIOVANNA VITTORI Ricevimento: Students will be received by appointment, which can be fixed by sending an e-mail message to giovanna.vittori@unige.it 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 written and an oral part. The written test will be corrected immediately after its conclusion in the presence of the student. The oral part will take place immediately after the correction and passing of the written test. ASSESSMENT METHODS The written part of the exam is aimed at ascertaining that the student has acquired the operational tools necessary to correctly formulate hydrodynamics problems. The oral part is instead aimed at verifying the level of knowledge of the different parts of the course by the student.
