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Introduction to Mechanics of Fluids and Mixtures - MG451P12

Title:	Úvod do mechaniky tekutin a směsí
Czech title:	Úvod do mechaniky tekutin a směsí
Guaranteed by:	Institute of Hydrogeology, Engineering Geology and Applied Geophysics (31-450)
Faculty:	Faculty of Science
Actual:	from 2023
Semester:	summer
E-Credits:	4
Examination process:	summer s.:combined
Hours per week, examination:	summer s.:2/1, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	3
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Note:	enabled for web enrollment

Guarantor:	Mgr. Martin Lanzendörfer, Ph.D.
Teacher(s):	Mgr. Martin Lanzendörfer, Ph.D.

Opinion survey results Examination dates SS schedule

Annotation -

Last update: Mgr. Jana Trnková (25.04.2018)

This follow-up course to Language of Continuum Mechanics for Applied Geology aims at expanding what was built
up in the mechanics of single continua into the description of multi-component continuum. Practicals will consist
of an individual research focused on a particular mixture model.

The lecture will be supplemented by examples of all kinds of behavior of various fluids and mixtures in different
situations, the focus will remain with the basic theory and the mathematical description, rather than particular
processes or practical acquaintance. The theory of mixtures comprises a great deal of nutrition, while we will bite
off no more than a morsel; by examples such as the groundwater flow, viewed as a mixture of porous media, water
(and air, eventually). A bit carelessly, we will omit the heat and the most of heat-related issues.

Literature - Czech

Last update: Mgr. Jana Trnková (24.04.2018)

Literatura:

C. Truesdell, K.R. Rajagopal, An introduction to the Mechanics of Fluids, Birkhäuser, 2000

G.F. Pinder, W.G.Gray, Essentials of Multiphase Flow and Transport in Porous Media, Wiley, 2008

I. Samohýl, Racionální termodynamika chemicky reagujících směsí, Academia, 1982

D.A. Drew, S.L. Passman, Theory of Multicomponent Fluids, Springer, 1998

K. Hutter, K. Johnk, Continuum Methods of Physical Modelling, Springer, 2004

M. Brdička, L. Samek, B. Sopko, Mechanika kontinua, Academia, 2011

Requirements to the exam - Czech

Last update: Mgr. Jana Trnková (24.04.2018)

Požadavkem k zápočtu je vypracování (nastudování) podrobně okomentovaného modelu směsi, podle zadání upřesňovaného průběžně během první půle semestru (na základě zaměření a zájmu studenta). Zkouška je kombinovaná: písemná, ústní.

Syllabus -

Last update: Mgr. Jana Trnková (25.04.2018)

1. Small window to the endless universe of mixtures

water, salt and a an ocean of questions;

saturated zone groundwater flow, as a mixture of water and a rigid (or elastic) porous media;

unsaturated zone, as a mixture of water, soil and air;

solutes in water (groundwater);

solute polymers, blood cells in blood plasma;

evaporation and condensation, snow, ice, melting and freezing, etc...

2. Little on interactions

flow around bodies, flow through a fracture or pipe;

flow stability, turbulence, and turbulent viscosity;

surfaces tension, adhesion, cohesion and capillary forces;

diffusion and dispersion.

3. Multicomponent mixture

the concept of co-existence and the representative elementary volume;

conservation laws in bulk (how many velocities can a point contain?);

mixture descriptions hierarchy (according to Hutter);

class I: from Fick's law to advection-(reaction-)diffusion equation;

compressibility and quasi-compressibility (is a mixture of two incompressible fluids incompressible itself?);

class II: Darcy, Forchheimer and Brinkmann, and the groundwater flow;

Richardson and Richards, and the motion of groundwater and air;

and other very different classes...