OVERVIEW

The course is aimed at introducing the student to the modeling of turbulent flows and the transport processes they induce

AIMS AND CONTENT

LEARNING OUTCOMES

The objective of the teaching is to provide the basic knowledge of fluid mechanics with a particular attention to mass transport processes. Examples of practical problems are formulated and solved during the lessons.

AIMS AND LEARNING OUTCOMES

During the course the equations that follow from the principles of physics illustrated in previous courses (mass conservation and momentum principles) and control the motion of a fluid when the flow regime is turbulent will be obtained. Therefore, at the end of the course, the student will be able to correctly formulate the problem of the fluid motion and the related transport phenomena even at high Reynolds numbers when laminar regime, considered in previous courses, is unstable. In addition, simple models will be illustrated that allow to solve the problem of the "closure of turbulence" and therefore to successfully deal with problems characterized by the presence of turbulence. At the end of the course, the student will certainly have significantly increased his knowledge of fluid mechanics and his ability to understand the complex dynamics that govern the turbulent flows and the related transport processes. Moreover, he will be able to critically analyze the design of a plant, possibly also using numerical codes to be employed when a complex geometry does not allow to determine the solution of a problem by analytical means.

PREREQUISITES

Basic knowledge of Physics, Calculus and Hydrodynamics

TEACHING METHODS

Frontal lectures

Students with SLD, disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and exam methods that, in compliance with the teaching objectives, take into account the modalities and learning opportunities and provide suitable compensatory tools.

SYLLABUS/CONTENT

Turbulent flows: definition of average and oscillating quantities. Continuity equation for the average flow and Reynolds equation. Boussinesq's hypothesis. The vorticity and the vorticity equation. The kinetic energy of turbulence. The turbulent flow in a plane duct. The viscous sublayer and the logarithmic layer. Smooth wall and rough wall cases. Mechanical power theorem. Analysis of the local deformation. Inviscid flows. Bernuolli's theorem. The speed of sound and the constant density fluid scheme. Couette flow. Reversibility of flows at low Reynolds numbers. First law of thermodynamics. Poiseuille flow. Fick's first and second laws. Pure diffusion phenomena. Diffusive and convective terms in the laminar and turbulent cases. Circulation. The relationship between vorticity and circulation. Point vortices. Production of vorticity by the no-slip condition. The equation of the turbulent kinetic energy of turbulence. Turbulence models. The k-epsilon and the k-omega models. Equations in dimensionless form. Reynolds, Keulegan-Carpenter, Froude, Weber, Mach numbers. Evaluation of the order of magnitude of the thickness of the boundary layer in high Reynolds number flows. Flows of filtration. The total head and the piezometric head. The Darcy-Ritter law and continuity equation. Laplace's equation for the piezometric head. Prismatic pressure filter.

RECOMMENDED READING/BIBLIOGRAPHY

Notes of the course

TEACHERS AND EXAM BOARD

Exam Board

PAOLO BLONDEAUX (President)

MARCO MAZZUOLI

JAN OSCAR PRALITS

RODOLFO REPETTO

GIOVANNA VITTORI (President Substitute)

LESSONS

LESSONS START

https://corsi.unige.it/10376/p/studenti-orario

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Oral examination

ASSESSMENT METHODS

The exam is aimed at verifying the capability of the student to formulate simple problems of fluid mechanics when the flow regime is turbulent.

Exam schedule