ID:
39037-1
Dettaglio:
SSD: Technical Physics
Duration: 40
CFU: 5
Located in:
DALMINE
Url:
MECHANICAL ENGINEERING - 39-270/PERCORSO GENERALE Year: 1
Year:
2025
Course Catalogue:
Overview
Date/time interval
Primo Semestre (15/09/2025 - 20/12/2025)
Syllabus
Course Objectives
At the end of the course the student has acquired the basic knowledge on thermofluids dynamics. He/she has acquired the skill to solve engineering problems of a certain complexity in the field of the convective heat and mass transfer.
The student masters turbulence modelling techniques and is able to critically evaluate the results obtained by means of CFD solvers.
The student masters turbulence modelling techniques and is able to critically evaluate the results obtained by means of CFD solvers.
Course Prerequisites
The student will have to refer to the knowledge acquired with the courses of Fluidmechanics (Fluidodinamica) and Thermal Physics (Fisica Tecnica).
Teaching Methods
Teaching will take place mainly through lectures with a special attention to a direct interaction with students, which will have the possibility to propose deepening of some subject and to debate on them.
Training sessions will be organised, with the aim to teach how to solve engineering problems in the field of applied thermofluid-dynamics (for the module Thermofluids) and engineering heat transfer (for the module Heat transfer) and to develop a critical skill on the subjects. The lecturer will prepare the subjects of each session on the basis of the topics developed during the lectures.
Sessions on the use of specific software will be held.
Training sessions will be organised, with the aim to teach how to solve engineering problems in the field of applied thermofluid-dynamics (for the module Thermofluids) and engineering heat transfer (for the module Heat transfer) and to develop a critical skill on the subjects. The lecturer will prepare the subjects of each session on the basis of the topics developed during the lectures.
Sessions on the use of specific software will be held.
Assessment Methods
Convective heat transfer module: The examination consists of two parts: the preparation of an end-of-course report on a subject previously approved by the course leader and an oral test. Both tests are compulsory.
The report will have to be delivered some days before the oral test. During the oral test there will be a debate on the report content and its evaluation will be part (50%) of the final evaluation.
The oral test is made by three parts: a discussion of the written report, a colloquium on a subject chosen by the candidate (different from that of the report) and a colloquium on different subjects to complete the survey. The result of the oral test (considerino the report evaluation) will yield the final mark.
--
Turbulence modelling module.
There are two options, detailed below.
1) The exam consist in an oral examination taking into account the whole program of the course. Students are required to produce a report regarding the study of turbulent flows of benchmark by means of CFD tools. Outputs of CFD solvers and detailed instructions regarding the report contents and editing are available online for students unable to attend practical sessions.
2) The exam consists in an oral presentation
regarding a specific topic that was not part of the course program. A list of topics will be provided by the end of the course. The student freely elaborates on the matter and teacher's questions will focus on the specific subject at hand.
----
For those students enrolled for the Integrated Corse on Thermofluids and Heat Transfer, the exams on the two modules can be taken separately, in such case the final mark will be the average of the two partial marks
The report will have to be delivered some days before the oral test. During the oral test there will be a debate on the report content and its evaluation will be part (50%) of the final evaluation.
The oral test is made by three parts: a discussion of the written report, a colloquium on a subject chosen by the candidate (different from that of the report) and a colloquium on different subjects to complete the survey. The result of the oral test (considerino the report evaluation) will yield the final mark.
--
Turbulence modelling module.
There are two options, detailed below.
1) The exam consist in an oral examination taking into account the whole program of the course. Students are required to produce a report regarding the study of turbulent flows of benchmark by means of CFD tools. Outputs of CFD solvers and detailed instructions regarding the report contents and editing are available online for students unable to attend practical sessions.
2) The exam consists in an oral presentation
regarding a specific topic that was not part of the course program. A list of topics will be provided by the end of the course. The student freely elaborates on the matter and teacher's questions will focus on the specific subject at hand.
----
For those students enrolled for the Integrated Corse on Thermofluids and Heat Transfer, the exams on the two modules can be taken separately, in such case the final mark will be the average of the two partial marks
Contents
Convective heat transfer module: Energy transport mechanisms. Symbols and conventions. Revision of fluid dynamics: conservation equations in differential and integrated forms. Mass transfer: conservation of chemical properties equation. Constituent equations: Newton's law, Fourier postulate, Fick's law, analogies. Thermophysical properties of materials. Definition of the convective heat transfer coefficient. Dynamic, thermal and concentration boundary layers. Approximations of boundary layers and simplified equations. Adimensionalisation of equations and boundary conditions. Analogies between mass, energy and momentum transfer. Dimensional numbers. Friction coefficient, Nusselt number, Sherwood number. The Reynolds analogy. The Chilton-Coburn analogy. Effects of tubulence. External flows: flat plates, Blasius method for laminar regime, solution of the problems of heat and mass transfer, local and average coefficients; liquid metals. Turbulent regime: flat plate (with mixed regime treatment), external convection to a cylinder and a sphere. Tubular bundles. Internal flows: cylindrical conduction in laminar regime (fully developed flow and thermal fully developed flow), constant wall temperature and constant wall heat flux conditions, longitudinal and radial temperature profiles. Analytical solution of the laminar problem. Entrance region: the Graetz problem. Turbulent regime: the Dittus Boelter correlation. Use of analogies. Non-cylindrical ducts. Natural convection: solution of the laminar problem for vertical flat plate. Effect of turbulence. Horizontal flat plate. Horizontal cylinder. Vertical and tilted channels.
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Turbulence modelling module.
Index notation, Cartesian tensors and differential operators.
Flow governing equations (conservation of mass, momentum and energy) in integral and differential form.
Role of pressure in incompressible fluid flows.
Statistic description of turbulence motion (space and time averages, variance and covariance).
Homogeneous turbulence, locally homogeneous turbulence, energy cascade and Kolmogorov hypothesis.
Scale separation in turbulence motion and DNS (Direct Numerical Simulation) computational costs.
Investigation of energy cascade by means of Fourier analysis of Burgers equation.
Diffusive gradient hypothesis.
Reynolds Averaged Navier-Stokes equations.
Reynolds Stress Models.
Boussinesq hypothesis.
Conservation equations for the mean and turbulent kinetic energy.
Modelling of the turbulent kinetic energy equation.
Turbulent viscosity models, k-epsilon, k-omega, Spalart-Allmaras.
Overview of LES (Large Eddy Simulation) turbulence modelling.
RANS simulation by means of CFD tools and critical evaluation of the results for the following turbulent flows: channel flow, axisymmetric get, flat plate flow.
--
Turbulence modelling module.
Index notation, Cartesian tensors and differential operators.
Flow governing equations (conservation of mass, momentum and energy) in integral and differential form.
Role of pressure in incompressible fluid flows.
Statistic description of turbulence motion (space and time averages, variance and covariance).
Homogeneous turbulence, locally homogeneous turbulence, energy cascade and Kolmogorov hypothesis.
Scale separation in turbulence motion and DNS (Direct Numerical Simulation) computational costs.
Investigation of energy cascade by means of Fourier analysis of Burgers equation.
Diffusive gradient hypothesis.
Reynolds Averaged Navier-Stokes equations.
Reynolds Stress Models.
Boussinesq hypothesis.
Conservation equations for the mean and turbulent kinetic energy.
Modelling of the turbulent kinetic energy equation.
Turbulent viscosity models, k-epsilon, k-omega, Spalart-Allmaras.
Overview of LES (Large Eddy Simulation) turbulence modelling.
RANS simulation by means of CFD tools and critical evaluation of the results for the following turbulent flows: channel flow, axisymmetric get, flat plate flow.
Online Resources
More information
Textbooks
Convective heat transfer module: Fundamentals of heat and mass transfer, Incropera-De Witt, JW&Sons (Chapt. 6-7-8-9);
Turbulence modelling module: Turbulence flows, S.B. Pope, Cambridge University Press.
Beside the textbook, slides from the lectures are made available.
In case of authority provisions for the containment and management of epidemiological emergencies, teaching could undergo changes compared to what is stated in the syllabus to make the course and exams in in line with the provisions.
Convective heat transfer module: Fundamentals of heat and mass transfer, Incropera-De Witt, JW&Sons (Chapt. 6-7-8-9);
Turbulence modelling module: Turbulence flows, S.B. Pope, Cambridge University Press.
Beside the textbook, slides from the lectures are made available.
In case of authority provisions for the containment and management of epidemiological emergencies, teaching could undergo changes compared to what is stated in the syllabus to make the course and exams in in line with the provisions.
Degrees
Degrees
MECHANICAL ENGINEERING - 39-270
Master's Degree
2 years
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People
People (3)
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Other
Main module
Thermofluid Mechanics and Heat Transfer