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Lecturer(s)
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Kolomazník Karel, prof. Ing. DrSc.
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Pecha Jiří, doc. Ing. Ph.D.
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Beltrán Prieto Juan Carlos, Ing. Ph.D.
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Course content
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Introduction to the subject, direct and indirect modeling, similarity theory 2. Substance balances, expression of concentrations 3. Energy balance, approximate balance 4. Mass sharing: Diffusion, diffusion separation operations 5. Heat and mass sharing: Drying - process modeling, 6. Drying - enthalpy and mass balance of convective dryer 7. Model of a control valve 8. General procedure - model, linearization, dimensional conversion and image transmission 9. Liquid reservoir 10. Concentration mixer of liquids 11. Modeling of washing processes - the washing of unbound component 12. Modeling of washing processes - washing the bound component 13. The model with distributed parameters - a dynamic model of bath washing 14. Modeling of fermentation processes, application of automatic control
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Dialogic (Discussion, conversation, brainstorming), Practice exercises
- Preparation for course credit
- 8 hours per semester
- Preparation for examination
- 20 hours per semester
- Home preparation for classes
- 15 hours per semester
- Participation in classes
- 56 hours per semester
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| prerequisite |
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| Knowledge |
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| Knowledge from areas: Mathematics I, II Physics Processes in Building Technique Process Engineering |
| Knowledge from areas: Mathematics I, II Physics Processes in Building Technique Process Engineering |
| Knowledge from areas: Mathematics I, II Physics Processes in Building Technique Process Engineering |
| Knowledge from areas: Mathematics I, II Physics Processes in Building Technique Process Engineering |
| Skills |
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| The student has knowledge about mathematic modelling on the base of mass and energy, is able successfully to solve suggested models. Is well informed in needed literature and uses needed thermodynamic data and realize so calculations for optimization |
| The student has knowledge about mathematic modelling on the base of mass and energy, is able successfully to solve suggested models. Is well informed in needed literature and uses needed thermodynamic data and realize so calculations for optimization |
| learning outcomes |
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| Knowledge |
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| Knowledge of methods of mathematical modeling of technological processes concerning mass and energy balances Energy balance, approximate balance Heat and mass sharing: Drying - process modeling, Drying - enthalpy and mass balance of a convective dryer Control valve model General procedure - model, linearization, conversion to dimensionless form and image transfer Modeling of washing processes - washing of unbound and bound components The model with distributed parameters - the dynamic model of spa washing Modeling of fermentation processes, application of automatic control |
| Knowledge of methods of mathematical modeling of technological processes concerning mass and energy balances Energy balance, approximate balance Heat and mass sharing: Drying - process modeling, Drying - enthalpy and mass balance of a convective dryer Control valve model General procedure - model, linearization, conversion to dimensionless form and image transfer Modeling of washing processes - washing of unbound and bound components The model with distributed parameters - the dynamic model of spa washing Modeling of fermentation processes, application of automatic control |
| The student has knowledge about mathematic modelling on the base of mass and energy, is able successfully to solve suggested models. Is well informed in needed literature and uses needed thermodynamic data and realize so calculations for optimization and automatic control of technological processes. |
| The student has knowledge about mathematic modelling on the base of mass and energy, is able successfully to solve suggested models. Is well informed in needed literature and uses needed thermodynamic data and realize so calculations for optimization and automatic control of technological processes. |
| Skills |
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| orientation in the necessary literature design and solve a mathematical model of the discussed tasks the ability to linearize the model and determine the visual transmission of the event in order to control it the ability to find the necessary data the ability to solve optimization problems |
| orientation in the necessary literature design and solve a mathematical model of the discussed tasks the ability to linearize the model and determine the visual transmission of the event in order to control it the ability to find the necessary data the ability to solve optimization problems |
| Based on theoretical knowledge, perform the necessary calculations for the purpose of optimization and automatic control of technological processes and practical skills, - the ability to find the necessary data important for calculations. |
| Based on theoretical knowledge, perform the necessary calculations for the purpose of optimization and automatic control of technological processes and practical skills, - the ability to find the necessary data important for calculations. |
| teaching methods |
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| Knowledge |
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| Dialogic (Discussion, conversation, brainstorming) |
| Dialogic (Discussion, conversation, brainstorming) |
| Practice exercises |
| Practice exercises |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
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| Composite examination (Written part + oral part) |
| Analysis of the student's performance |
| Analysis of the student's performance |
| Composite examination (Written part + oral part) |
| Analysis of seminar paper |
| Analysis of seminar paper |
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Recommended literature
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CORRIOU J., P. Process Control, Theory and Applications. London, Springer, 2010. ISBN 978-1-84996.
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Crank, J. Mathematic of Diffusion, Oxford University. London, 1956.
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Ingham, J., Dunn, I.J., Heinzle, E., Prenosil, I.E. Chemical Engineering Dynamics. An Introduction to Modelling and Computer Simulation. Germany, 2000. ISBN 978-3-527-31678-6.
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Kolomazník, K. Modelování dynamických systémů. Brno : VUT, 1990.
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Kolomazník, K. Teorie technologických procesů III. Brno : VUT, 1978.
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VíTEČEK, A., CEDRO, L., FARANA, R., VÍTEČKOVÁ, M. The fundamentals of mathematical modelling. Politechnika Swietokrzyska. Kielce, 2018. ISBN 978-8365719-35-5.
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