Duration
30h Th, 30h Pr
Number of credits
| Master MSc. in Engineering Physics, research focus | 5 crédits |
Lecturer
Language(s) of instruction
English language
Organisation and examination
Teaching in the first semester, review in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
Classical (Onsager-Prigogine) Irreversible Thermodynamics. Coupling of the thermodynamical fluxes and forces
- Direct effects : viscosity, Fourier's, Fick's, Ohm's laws
- Crossed effects: thermodiffusion, thermoelectricity
- Notion of stability of a flow, transitions in fluids
- Thermoconvective instability (Rayleigh-Bénard-Marangoni instability), linear and non linear approaches, self-organization in fluids, competition between different geometrical patterns
- Genericity of self-organization phenomena
- Reaction-diffusion equations : application in chemistry (Belousov-Zhabotinsky), Turing instability, morphogenesis
- elementary bifurcations
- transitions to chaos
Learning outcomes of the learning unit
At the end of the course, the student will know the basics of Classical Irreversible Thermodynamics as developped by Onsager and Prigogine. He will also have learned how to describe self-organization phenomena in the frame of this theory. Eventually, he will be able to illustrate these phenemena by numerical simulations of the corresponding equations.
Prerequisite knowledge and skills
Basic knowledge of continuum mechanics is an asset.
Planned learning activities and teaching methods
The theoretical part of the course is presented as lectures. In case of a small audience, lectures are replaced by a tutorship that consists in discussions between the sudents and the instructor. The exercices consist in a numerical analysis of a self-organizing system.
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Course materials and recommended or required readings
Notes available on eCampus.
Exam(s) in session
Any session
- In-person
written exam
Written work / report
Further information:
Additional information:
Written exam on theory (60%). Report (compulsory) on the numerical homework (40%).
Work placement(s)
Organisational remarks and main changes to the course
Practical details will be provided on eCampus.
Contacts
Pierre C. DAUBY, Professeur Institut de Physique (local 2/57), Bât. B5a, Allée du 6 août 19, B-4000 Liège Tel. : 04/366.23.57 - email: PC.Dauby@uliege.be