Course: Mathematical Modelling in Chemical Processes

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Course title Mathematical Modelling in Chemical Processes
Course code UECHI/CD134
Organizational form of instruction no contact
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 0
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Mikulášek Petr, prof. Ing. CSc.
Course content
Fundamental concepts in chemical process modelling and their mathematical formulation. Inputs and outputs of the system. Generation and accumulation terms. Steady-state and unsteady-state microscopic and macroscopic balances; differential and integral forms of mathematical models. Mathematical models of momentum, energy and mass transfer processes. Molecular and convective transport. Processes with chemical reaction. Multiphase processes (interphase transport). Methods of solution with the help of specialized software (COMSOL Multiphysics).

Learning activities and teaching methods
Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book), Skills training
Learning outcomes
To familiarize the student with the procedure of creating mathematical models of chemical processes and their solution using computer technology.
The student will be able to build mathematical models of chemical processes in steady and unsteady state and solve them using Comsol Multiphysics.
Prerequisites
Mathematics, physics and physical chemistry to the extent of at least a bachelor's degree.

Assessment methods and criteria
Oral examination, Home assignment evaluation

The student will demonstrate the solution of the given problem: building a model and solving it on the computer. The oral exam will test the knowledge in a broader scope.
Recommended literature
  • Bird, R. Byron. Transport phenomena. New York: J. Wiley, 2007. ISBN 978-0-470-11539-8.
  • Kaliakin V.N. Introduction to Approximate Solution Techniques, Numerical Modelling, and Finite Element Methods. Marcel Dekker, 2002.
  • Tosun, Ismail. Modeling in transport phenomena : a conceptual approach. Amsterdam: Elsevier, 2007. ISBN 978-0-444-53021-9.
  • Zimmerman, William B. J. Multiphysics modelling with finite element methods. Singapore: World Scientific, 2006. ISBN 981-256-843-3.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester