Academic year 2021/2022 |
Supervisor: | doc. Ing. Zdeněk Jegla, Ph.D. | |||
Supervising institute: | ÚPI | |||
Teaching language: | Czech | |||
Aims of the course unit: | ||||
Students will get acquainted with advanced concepts of mathematical models for design, analysis and optimization of industrial units (processes) or equipment. Students should be able to develop, implement and apply a proper model type for the solution of problems related to their doctoral research project. | ||||
Learning outcomes and competences: | ||||
Students will understand the principles of mathematical modelling and simulations in complex systems. They will get insight into computer-aided models and simulations that are used for design, analysis and optimization. | ||||
Prerequisites: | ||||
Graduate-level knowledge of mathematics, physics and chemistry. | ||||
Course contents: | ||||
The postgraduate students will get acquainted with process simulations and computer-aided design computations. They will enhance their knowledge of balancing in complex systems including multiphase, reactive or transient processes. The course includes classification of mathematical modelling approaches for chemical systems, namely mass transfer, heat transfer, fluid flow and reacting systems. Attention is given also to numerical methods for the solution of model equations and description of time domain dynamics. Students will get an overview of optimization techniques for process systems. Error propagation and data regression are covered as important concepts in the treatment of experimental data. | ||||
Teaching methods and criteria: | ||||
The course is taught through lectures focused on topics required for the individual doctoral project. It includes work in appropriate software tools. | ||||
Assesment methods and criteria linked to learning outcomes: | ||||
Students are required to develop a process model or simulation related to their doctoral project. | ||||
Controlled participation in lessons: | ||||
Teaching is provided in the form of consultations and discussions over a model the student develops, at pre-arranged meetings. | ||||
Type of course unit: | ||||
Lecture | 10 × 2 hrs. | optionally | ||
Course curriculum: | ||||
Lecture | • Classification of mathematical modelling approaches • Balancing in complex systems including multiphase, reactive or transient processes • Chemical systems modelling with mass transfer, heat transfer, fluid flow and chemical reactions • Process simulation using modular approach • Process simulation using equation-solving approach • Numerical methods for the solution of model equations • Time domain dynamics simulation • Optimization techniques for process systems • Error propagation analysis • Data regression |
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Literature - fundamental: | ||||
1. Felder, R. M.; Rousseau, R. W.; Bullard, L. G.: Elementary Principles of Chemical Processes, 4th ed., Wiley, Hoboken, NJ, USA (2015) | ||||
2. Chaves, I. D.; López, J. R.; Zapata, J. L.; Robayo, A. L.; Niño, G. R.: Process Analysis and Simulation in Chemical Engineering, Springer, Cham, Switzerland (2016) | ||||
3. Dahlquist, G; Björck, Å.: Numerical Methods in Scientific Computing, SIAM, Philadelphia, PA, USA (2008) | ||||
Literature - recommended: | ||||
1. Upreti, S. R.: Process Modeling and Simulation for Chemical Engineers: Theory and Practice, Wiley, Hoboken, NJ, USA (2017) | ||||
2. Puigjaner, L.; Heyen, H. (Eds.): Computer Aided Process and Product Engineering, Wiley-VCH Verlag GmbH, Weinheim, Germany, (2006) | ||||
3. Press, W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P.: Numerical Recipes: The Art of Scientific Computing, 3rd ed., Cambridge University Press, Cambridge, UK (2007) |
The study programmes with the given course: | |||||||||
Programme | Study form | Branch | Spec. | Final classification | Course-unit credits | Obligation | Level | Year | Semester |
D-ENE-P | full-time study | --- no specialisation | -- | DrEx | 0 | Recommended course | 3 | 1 | W |
D-ENE-K | combined study | --- no specialisation | -- | DrEx | 0 | Recommended course | 3 | 1 | W |
Faculty of Mechanical Engineering
Brno University of Technology
Technická 2896/2
616 69 Brno
Czech Republic
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