SubjectsSubjects(version: 948)
Course, academic year 2023/2024
  
Calculations in Chemical Engineering - S107009
Title: Calculations in Chemical Engineering
Guaranteed by: Department of Glass and Ceramics (107)
Faculty: Faculty of Chemical Technology
Actual: from 2019
Semester: winter
Points: winter s.:2
E-Credits: winter s.:2
Examination process: winter s.:
Hours per week, examination: winter s.:0/3, C [HT]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
Teaching methods: full-time
Level:  
For type:  
Examination dates   Schedule   
Annotation
Last update: VED107 (20.01.2015)
The subject is focused on the development of the mathematical models of important physical and chemical processes occurring in materials. The models are developed using the approach based on experimental design in combination with regression analysis. Emphasis is put on detailed statistical analysis of experimental data and the developed models. The models are used for the optimization of the composition of materials with target properties. By applying numerical methods, physic-chemical processes are solved that are described by ordinary and partial differential equations.
Aim of the course
Last update: VED107 (20.01.2015)

Students will be able to:

Plan experimental design and data analysis

Develop mathematical models for materials’ properties and optimizing materials’ composition

Numerically solve ordinary and partial differential equations

Literature
Last update: VED107 (20.01.2015)

R:Meloun M., Militký J.: Statistická analýza experimentálních dat, Academia, 2004, ISBN: 8020012540

R:Urbánek T., Škárka J.: Microsoft Excel 97 pro vědce a inženýry, Computer press, 1998, ISBN: 8072260995

A:Cornell J.A.: Experiments With Mixtures, John Wiley, 1981, ISBN: 0471079162

A:Jarník V.: Diferenciální počet (I), Academia, 1974, ISBN: 2110174

A:Jarník V.: Integrální počet (I), Academia, 1974, ISBN: 2110874

Learning resources
Last update: VED107 (20.01.2015)

Microsoft Excel, www.microsoft.com

Syllabus -
Last update: VED107 (20.01.2015)

1. Overview of mathematical software for advanced applications in chemical engineering.

2. Experimental design.

3. Statistical analysis of data.

4. Regression analysis and fitting of models.

5. Statistical analysis of models, standard error, R square, t- and F-statistics, testing of hypothesis.

6. Calculation of materials’ properties from chemical composition. Composition optimization.

7. Numerical methods of derivation and integration.

8. Numerical solving of ordinary differential equations with initial value.

9. Numerical solving of ordinary differential equations - boundary problem.

10.Numerical solving of partial differential equations by finite differences method.

11.Numerical solving of heat transfer in glass and ceramics.

12.Numerical solving of mass transfer in glass and ceramics.

13.Numerical solving of wave function.

14.Individual project.

Teaching methods
Activity Credits Hours
Obhajoba individuálního projektu 0.1 2
Práce na individuálním projektu 0.4 12
Účast na seminářích 1.5 42
2 / 2 56 / 56
 
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