AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

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

TEACHING METHODS

Frontal lectures

SYLLABUS/CONTENT

1. Kinematics. Eulerian and Lagrangian description, material derivative. Local analysis of the deformation. Principle of mass conservation.
2. Dynamics. The tension tensor. Momentum principle, momentum moment principle. The theorem of mechanical power.
3. The equations of motion of viscous fluids. The constitutive relation for a Newtonian fluid, continuity and Navier Stokes  equations. Boundary conditions.
4. Exact solutions of  Navier-Stokes equations. Unidirectional flows.
5. Vorticity and simplified models for the study of fluid motion. Vorticity equation. Introduction  on the  mechanisms of production and evolution of vorticity. The scheme of the ideal fluid. The scheme of irrotational flow. D'Alembert paradox. Two-dimensional irrotational motions. Kutta-Joukowsky theorem.
6. Flow field and forces on bodies in motion in a fluid. Resistance and lift.  Lift of slender bodies:  the Kutta hypothesis. Added mass force. Induced resistance. Morison equation. Flow field generated by a cylinder translating with constant velocity.
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. Wall turbulence.  Introduction to  RANS 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

ILARIA MONETTO (President)

GIOVANNA VITTORI (President)

PAOLO BLONDEAUX

LESSONS

LESSONS START

The lectures follow the calendar of the polytechnic school.

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

Exam schedule