Rheology of complex fluids (heavy)
Technical University of Denmark
General course objectives:
To introduce the participants to rheology of complex fluids, in particular polymeric liquids and suspensions. The participants will learn how to characterise complex fluids and understand their flow behaviour.
Learning objectives:
A student who has met the objectives of the course will be able to:- express vectors and tensors in component form in relevant orthogonal co-ordinate systems and explain the principles in non-orthogonal co-ordinate systems.
- analyse simple flow problems with the generalised Newtonian fluid model.
- use the lubrication approximation to simplify 2D and 3D flow problems and explain the conditions for use.
- explain the importance of homogeneous flows such as shear and elongation for measuring stress components and express the stress tensor in these flows.
- explain the analysis and the necessary assumptions for the common measurement geometries: Cone/plate, plate/plate, capillary and elongation (uniaxial and biaxial).
- explain the basic principles of the linear viscoelastic fluid and the domain of validity.
- determine a spectrum of relaxation times from experimental data for polymeric liquids.
- use the time-temperature superposition principle to analyse experimental data for polymeric liquids.
- explain the basic principles of simple rheological models for suspensions and emulsions.
- explain the basic theory of non-linear models for viscoelasticity: differential and integral constitutive equations and micro-mechanical models.
- explain the basic theory of optical birefringence and its use for measuring rheological and structural parameters.
- apply different numerical techniques for simulation of non-Newtonian flows.
Contents:
The course will contain the following main topics:
1. Introductory fluid mechanics: Equations of change on the basis of fluxes. Equations of change with transport properties. Solution of isothermal and nonisothermal flow problems.
2. Rheology of non-Newtonian fluids. Measurements and material functions.
3. Simple and advanced models for polymeric fluids: the generalized Newtonian fluids, linear viscoelasticity, nonlinear viscoelasticity.
Simple models for suspensions and emulsions.
4. Solution of flow problems: Rheometry, extrusion, formation of fibres and film, injection moulding, heat treatment of foodstuffs etc.
5. Analysis of experimental measurements. Classical methods: Steady and oscillatory shear flow. New Methods: Transient elongation.
6. Introduction to optical birefringence.
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