SubjectsSubjects(version: 955)
Course, academic year 2023/2024
Modelling Mathematical Processes - M445005
Title: Matematické modelování procesů
Guaranteed by: Department of Mathematics, Informatics and Cybernetics (446)
Faculty: Faculty of Chemical Engineering
Actual: from 2023
Semester: summer
Points: summer s.:5
E-Credits: summer s.:5
Examination process: summer s.:
Hours per week, examination: summer s.:2/2, C+Ex [HT]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Kukal Jaromír doc. Ing. Ph.D.
Kohout Jan Ing. Ph.D.
Interchangeability : N445013
This subject contains the following additional online materials
Annotation -
The course familiarizes the students with basic principles of mathematic modeling, apparatus models common in chemic sector, their evaluation, solution and simulation
Last update: Pátková Vlasta (19.04.2018)
Aim of the course -

Students will be able to:

• analyze a problem

• provide the mathematical description of the problem

• solve both static and dynamic behavior

• perform MATLAB implementation

• perform system behavior simulation

Last update: Pátková Vlasta (19.04.2018)
Literature -

R:Noskievič P.,Modelování a identifikace systémů,Ostrava,MONTANEX a. s.,1999,8072250302

A:Bequette B.W.,Process Dynamics.Modeling, Analysis, and Simulation,Prentice Hall PTR,New Jersey,1998,0132068893

A:Ingham, J., Dunn, I.J., et al.:Chemical Engineering Dynamics,VCH,Weinheim,1994,9783527314607

A:Hangos, K.M., Cameron, I.T.,Process Modelling and Model Analysis,Academic Press,N.Y.,2001,0121569314

Last update: Pátková Vlasta (19.04.2018)
Learning resources -

internal materials

Last update: Pátková Vlasta (19.04.2018)
Requirements to the exam -

During the term some small project will be given to students. The exam has both written and oral parts. It is necessary show both the mathematical insight into the problem and basic programming knowledge in the written part.

Student will obtain credits after successful exam.

Last update: Pátková Vlasta (19.04.2018)
Syllabus -

1. Model and modeling definition, modeling postulates, model classification

2. Modeling methods, basic terms and conceptions of continuum mechanics

3. Basic equation for matter, momentum and energy sharing

4. Hydrodynamic flow models, their classification. Ideal mixing and piston flow

5. Cascade of ideal mixers model with and without back-mix

6. Dispersion model, models combination,

7. Kinetics of matter and heat transfer. Phases balance, chemic kinetics, reaction velocity, chemic balance

8. Static and dynamic behavior models. Dimensionless equations

9. Models of containers for liquids and gases

10. Models of heat exchangers I

11. Models of heat exchangers II - distribute parameters

12. Models of distillation columns

13. Models of chemical reactors, stability

14. Models of biochemical reactors

Last update: Pátková Vlasta (19.04.2018)
Entry requirements -

Mathematics I and the MATLAB knowledge are the basic preconditions.

Matematics II, Laplace transform and SIMULINK knowledge give advantage.

Last update: Pátková Vlasta (19.04.2018)
Registration requirements -

Matematics II, Chemical engineering

Last update: Pátková Vlasta (19.04.2018)
Course completion requirements - Czech

studenti budou hodnoceni zápočtem za práci v seminářích, známkou za písemný test (jehož součástí bude tvorba programů pro výpočet konkrétních zadání) a ústní zkouškou

Last update: Bártová Darina (26.04.2018)
Teaching methods
Activity Credits Hours
Konzultace s vyučujícími 0.6 16
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 0.7 20
Práce na individuálním projektu 0.7 20
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
5 / 5 140 / 140