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The aim of the course is to provide a comprehensive introduction to transport processes that are key to understanding both the fate of substances in the environment and selected environmental technologies. Students will become familiar with transport processes such as diffusion, advection, and dispersion. The course further addresses interfacial mass transfer and specifics of transport in porous media, surface waters, and the atmosphere. Finally, applications (e.g., in biofilms) are discussed with emphasis on understanding fundamental principles and the ability to apply them in solving selected environmental problems.
Last update: Škarohlíd Radek (24.04.2025)
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Completion of the Transport Processes and Modeling course is contingent upon fulfilling the following requirements: Final test (60%)
Written test (e.g., multiple choice, short answers) Students register for the test date through the SIS system Students have a time limit of 60 minutes to complete the test To successfully pass the test, students must achieve at least 50% of the total points Results are published in SIS within 7 working days from the test date In case of failure in the final test, it is possible to retake it in accordance with the rules for studying and examination at UCT Prague
Preparation and submission of a set of homework assignments (40%) focused on solving problems covering the syllabus topics. The submission deadlines for individual homework assignments will be specified by the instructor during the semester. Last update: Škarohlíd Radek (24.04.2025)
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Recommended:
Last update: Škarohlíd Radek (24.04.2025)
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Lectures: Explanation of basic principles with emphasis on visualization, analogies, and practical examples from environmental practice. Active student involvement through questions and short discussions.
Exercises: Step-by-step solving of simple quantitative problems. Working with real but simplified scenarios. Use of spreadsheet processors (Excel) or simple programs for simulations or data analysis. Discussion of qualitative aspects of problems. Last update: Škarohlíd Radek (24.04.2025)
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Final test (60%) - a written test, knowledge questions (e.g., multiple choice, short answers). Set of homework assignments during the semester (40%) - focused on solving problems covering the syllabus topics. The submission deadlines for individual homework assignments will be specified by the instructor during the semester. Last update: Škarohlíd Radek (24.04.2025)
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1. Introduction: importance of transport processes in environmental engineering, basic terms and concepts. 2. Mass balance: formulation for control volume. 3. Mass balance and reactors: application of mass balances to ideal reactors. 4. Molecular diffusion I: Fick's first law, diffusion coefficients (calculation, experimental determination, effective diffusion coefficients in porous media) 5. Molecular diffusion II: Fick's second law, solutions for simple geometries and boundary conditions. 6. Advection: principle of advective transport, formulation of advective flux. 7. Advection-diffusion equation: basic analytical solutions. 8. Dispersion: dispersion mechanisms, quantification of dispersion, dispersion in porous media. 9. Interfacial mass transfer I: equilibrium distribution of substances, transfer kinetics. 10. Interfacial mass transfer II: applications - stripping, sorption, venting. 11. Transport in porous media: Darcy's law. Advection and dispersion. Retardation. 12. Transport in surface waters: mixing in rivers and lakes, application of advection-dispersion models. 13. Transport in the atmosphere: basics of modeling substance dispersion in the atmosphere. 14. Transport in biofilms and environmental technologies: application of transport principles to specific systems (biofilm reactors). Last update: Škarohlíd Radek (24.04.2025)
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After successfully completing the course, the student will be able to: Explain the basic mechanisms of transport processes (diffusion, advection, dispersion) and their role in the environment. Describe the principle of mass balance and apply it to simple systems. Use basic models of ideal reactors to describe studied systems. Apply fundamental equations for calculating diffusive and advective fluxes. Explain the principles of substance transfer between phases. Describe the basic principles of transport in groundwater. Identify key transport processes in simple environmental scenarios. Last update: Škarohlíd Radek (24.04.2025)
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Knowledge within the scope of Mathematics for Chemists I, Physical Chemistry I, and Chemical Engineering I. Last update: Bindzar Jan (23.05.2025)
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Knowledge within the scope of Mathematics for Chemists I, Physical Chemistry I, and Chemical Engineering I. Last update: Bindzar Jan (23.05.2025)
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