Course detail

Reology DSP

FCH-DCO_REGAcad. year: 2011/2012

Subject of rheology, linear vector functions, gradients, tensors, surface vector, divergence balance, affine transformation and tensor algebra. Simple shear and shear flow, simple shear kinematics, shear dynamics of elastic material, elastic materials and viscous liquids, kinematics of stationary simple shear flow, dynamics of simple shear flow of viscous liquids, shear response of viscoelastic materials. Viscosity and its measurement, viscosity functions of nonnewtonian liquids, thixotropy, dilatancy and antithixotropy. Linear viscoelasticity, basic tests of linear viscoelasticity: relaxationa and creep, mathematical foundations of linearity: Boltzmann's superposition principle, basic material functions of linear viscoelasticity for shear movements, relaxation spectra, influence of inertia on complex viscosity measurement, viscometric normal tensions.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

prof. Ing. Martina Klučáková, Ph.D.

Department

Institute of Physical and Applied Chemistry (ÚFSCH)

Learning outcomes of the course unit

Viscometry of non-Newtonian liquids, material functions of linear viscoelasticity, applications in chemical engineering and polymer science

Prerequisites

College physics and mathematics. Principles of (classical) physical chemistry. Calculus. Fundamentals of vectorial analysis in Eucleidean 3D space.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

(only in Czech)

Course curriculum

(Synopsis for 7 4-hours blocks)
1. Rheology. Goals and methods. Mechanical behavior and properties of materials. Applicationas of rheological properties of suspension and polymeric liquids in technology.
2. Basic quantitative notions in continuum mechanics. Stress and deformation. Simple shear and simple shear flow. Viscosity and elasticity. Newtonian liquids. Hookean materials. Necessity of tensorial description of the kinematics and dynamics of spacial deformation. Deformation gradient and velocity gradient. Stress tensor, isotropic pressure. Rheological constitutive equations. Mathematical models of flow.
3. Non-linear viscous behavio. Plasticity, viscoplasticity, non-Newtonian viscosity, thixotropy. Apparent slip at walls.
4. Linear viscoelasticity. Dynamics of linear autonomous systems. Relaxation, creep, complex viscosity. Maxwell and Kelvin model. Spectral description.
5. Viscometry and rheometry. Theory of measuring the shear viscosity function for basic types of viscometers. Viscometric normal stress differences. Instrumentation, calibration, primary data treatment.
6. Non-linear viscoelasticity. Weissenberg effect and centripetal flow, die swell. Elongation viscosity.
7. Polymer solutions. Limiting viscosity number vs. mola mass, Mark-Houwink equation, conformational characteristics of macromolecules from viscosity measurements.

Work placements

Not applicable.

Aims

Acquiring basic notions and methods of non-linear continuum mechanics, used for quantitative understanding of the simple rheometrical flow situations, common in characterizing the flow properties of non-Newtonian liquids.

Specification of controlled education, way of implementation and compensation for absences

none

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

BARNES, H. A., HUTTON, J. F., WALTERS, K. An Introduction to Rheology. Amsterdam: Elsevier, 1989. (CS)
MORISSON, F. A. Understanding Rheology. New York: Oxford University Press, 2001. (CS)
WEIN, O., Úvod do reologie. Brno: FCH VUT v Brně, 1996. (CS)

Type of course unit

Guided consultation in combined form of studies

0 hod., optionally

Teacher / Lecturer

prof. Ing. Martina Klučáková, Ph.D.