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| PHYS0090-1 | Complex fluids and non-Newtonian flows
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| Duration : | 30h Th, 30h Pr |
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| Number of credits : |
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| Lecturer : | Vincent Terrapon |
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Language(s) of instruction :
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| English language |
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Course contents :
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| The course is an introduction into complex liquids and non-Newtonian flows.
Many fluids in engineering and industrial applications are complex mixtures. Hence, they demonstrate a non-Newtonian behavior in the sense that the stress endured by a macroscopic fluid element is not a linear function of the shear rate. In particular, their viscosity can depend on time, or on stress. These rheological properties are induced by changes in the complex microstructure of these fluids under shear and can have a profound impact on the macroscopic flow characteristics.
The objective of the course is to illustrate some of these effects, to demonstrate the relation between the microstructure changes under shear and the macroscopic rheological properties, and to introduce some of the models and analysis tools used in practice.
The course covers following topics:
- Types of complex liquids (colloidal and non-colloidal suspensions, solutions, melts, ...)
- Macroscopic behaviors (shear-thinning, shear-thickening, time-dependence, ...)
- Extra-stress tensor and its relation to the stresslet
- Evolution of the configuration distribution of the microstructure and Fokker-Planck equation
- Linear viscoelasticity (storage and viscous dissipation of elastic energy, complex modulus)
- Brownian and non-Brownian fibers
- Dilute polymer solutions
- Non-dilute polymer solutions and melts of flexible polymers (Doi-Edwards constitutive equations)
To be confirmed. |
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Learning outcomes of the course :
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| At the end of the course, the students should be able to:
- Know the different types of complexe liquids
- Understand the macroscopic behaviors of non-Newtonian flows
- Derive constitutive equations from micro- or meso-models
- Apply linear viscoelasticity to analyze the behavior of complex fluids
- Use macroscopic constitutive equations in numerical simulations of non-Newtonian flows
- Read and understand independently papers from the literature on the subject
To be confirmed. |
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Prerequisites and co-requisites/ Recommended optional programme components :
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| Basic knowledge in fluid mechanics (viscous flows, dimensional analysis, ...), and in basic mathematics (tensor algebra, ...) |
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Planned learning activities and teaching methods :
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| The theory is illustrated through regular exercises and a small project.
Exercises have the purpose to consolidate the material seen in class. They are therefore graded.
A small project at the end of the course gives the students the opportunity to extend the theory seen in class. The project requires the analysis of one or more papers from the literature on a subject not directly covered in the course. Students must analyze the paper(s) and discuss it in a written report, and present it to the rest of the class during an oral presentation.
To be confirmed. |
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Mode of delivery (face-to-face ; distance-learning) :
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| The course is given in class. Exercises are done individually and independently by the students. |
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Recommended or required readings :
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| Class notes will be distributed electronically.
Recommended reading material and reference manuals:
- "The Structure and Rheology of Complex Fluids", R.G. Larson
- "Dynamics of Polymeric Liquids", R.B. Bird, R.C. Armstrong & O. Hassager
- "Stochastic Processes in Polymeric Fluids", H.C. Oettinger
- "The Theory of Polymer Dynamics", M. Doi & S.F. Edwards
- "Non-Newtonian Flow and Applied Rheology", R.P. Chhabra & J.F. Richardson
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Assessment methods and criteria :
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| The final grade for the course is based on
- Homework exercises: 30%
- Project written report: 40%
- Project oral presentation: 30%
To be confirmed. |
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Organizational remarks :
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| The course is taught in English |
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Contacts :
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| Prof. V. E. Terrapon
Phone: +32(0)4 366 9268
Email: vincent.terrapon@ulg.ac.be
http://www.mtfc.ulg.ac.be/ |
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