Modelling Mathematical Processes for PhD Students - P445011
Title: Matematické modelování procesů pro doktorandy
Guaranteed by: Department of Computing and Control Engineering (445)
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 3/0 other [hours/week]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: doctoral
Note: can be fulfilled in the future
you can enroll for the course in winter and in summer semester
Guarantor: Kukal Jaromír doc. Ing. Ph.D.
Z//Is interchangeable with: AP445011
Examination dates   
Annotation -
Last update: Pátková Vlasta (29.05.2018)
The course familiarizes the students with basic principles of mathematic modeling, apparatus models common in chemic sector, their evaluation, solution and simulation
Aim of the course -
Last update: Pátková Vlasta (29.05.2018)

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

Literature -
Last update: Kukal Jaromír doc. Ing. Ph.D. (04.09.2018)

R:Tangirala A.K., Principles of System Identification:Theory and Practice, CRC Press, Boca Raton, 2015, ISBN 978-1-4398-9602-0

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

Learning resources -
Last update: Pátková Vlasta (29.05.2018)

internal materials

Teaching methods -
Last update: Mareš Jan doc. Ing. Ph.D. (07.06.2018)

lectures, projects and consultations

Requirements to the exam -
Last update: Pátková Vlasta (29.05.2018)

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.

Syllabus -
Last update: Pátková Vlasta (29.05.2018)

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

Entry requirements -
Last update: Mareš Jan doc. Ing. Ph.D. (07.06.2018)


Registration requirements -
Last update: Mareš Jan doc. Ing. Ph.D. (07.06.2018)


Course completion requirements -
Last update: Mareš Jan doc. Ing. Ph.D. (07.06.2018)
  • making all projects
  • final discusion on them with the demonstration of knowledge