SubjectsSubjects(version: 854)
Course, academic year 2014/2015
  
Modelling Mathematical Processes - N445013
Title: Matematické modelování procesů
Guaranteed by: Department of Computing and Control Engineering (445)
Actual: from 2013
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 [hours/week]
Capacity: 10 / 10 (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type:  
Guarantor: Kukal Jaromír doc. Ing. Ph.D.
Bártová Darina Ing. Mgr. Ph.D.
Annotation -
Last update: TAJ445 (14.12.2013)
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: TAJ445 (14.12.2013)

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: TAJ445 (30.09.2013)

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: Bártová Darina Ing. Mgr. Ph.D. (25.06.2013)

internal materials

Requirements to the exam -
Last update: Bártová Darina Ing. Mgr. Ph.D. (25.06.2013)

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: Bártová Darina Ing. Mgr. Ph.D. (25.06.2013)

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: Bártová Darina Ing. Mgr. Ph.D. (25.06.2013)

Mathematics I and the MATLAB knowledge are the basic preconditions.

Matematics II, Laplace transform and SIMULINK knowledge give advantage.

Registration requirements -
Last update: Bártová Darina Ing. Mgr. Ph.D. (25.06.2013)

Matematics II, Chemical engineering

Teaching methods
Activity Credits Hours
Konzultace s vyučujícími 1 28
Účast na přednáškách 1 28
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1 28
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
5 / 5 140 / 140
Coursework assessment
Form Significance
Regular attendance 20
Examination test 40
Oral examination 40

 
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