5 credits

30.0 h + 30.0 h

Q1

Teacher(s)

Legat Vincent; Van Ruymbeke Evelyne;

Language

English

Main themes

Phenomenology of rheologically-complex flow behaviour. Mathematical modelling based on continuum mechanics. Mathematical modelling based on molecular kinetic theory. Analytical solution of simple flow problems. Computer simulation methods for complex industrial flows. Introduction to modern research topics in the field.

Aims

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1 | In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning: - AA1.1, AA1.2, AA1.3
- AA2.2, AA2.3, AA2.5
- AA3.1, AA3.2
- AA5.4, AA5.5, AA5.6
- AA6.2, AA6.3
Introduce the student to the multidisciplinary topics of rheology and non-Newtonian fluid mechanics: phenomenology of rheologically-complex fluids, mathematical modelling based on continuum mechanics and molecular kinetic theory, analytical solution of simple problems, approaches to computer simulation of industrial flows, introduction to current research in the field. |

*The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.*

Content

Phenomenology of rheologically-complex flow behaviour: observed experimental linear and non-linear viscoelastic behaviour in shear and elongational flows. Mathematical modelling based on continuum mechanics: conservation laws and a hierarchy of constitutive rheological equations (generalized Newtonian fluid, linear viscoelastic models, differential and integral models). Mathematical modelling based on molecular kinetic theory: how to obtain constitutive equations from molecular models of statistical mechanics, detailed consideration of dilute and concentrated polymer solutions ("Rouse" and "tube" models). Simple flow problems: analytical solutions using the macroscopic and "molecular"constitutive equations listed above, comparison with experimental data and critical evaluation. Complex industrial flows: discussion of the basic macroscopic and micro-macro approaches to computer simulation in non-Newtonian fluid mechanics, illustration of modern techniques and recent results. Introduction to research topics in the field: illustration of current themes based on the lecturer's research activities.

Evaluation methods

Exam: oral and open book (50% of final mark); individual work during semester (e.g. to read, report, and present orally a scientific paper) counts for the other 50%.

Online resources

Faculty or entity

**MECA**

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme

Sigle

Credits

Prerequisites

Aims

Master [120] in Electro-mechanical Engineering

Master [120] in Mechanical Engineering

Master [120] in Chemical and Materials Engineering

Master [120] in Physics

Master [120] in Mathematical Engineering