Course detail

Modelling of Processes

FSI-IMPAcad. year: 2015/2016

In the course, students will get acquainted with basic types of mathematic models used for design, analysis and optimization of process systems and equipment.
• Model of processing line describing mass and energy balance of a continuous process
• Model of process equipment describing a batch process
• Model for the optimization of a process or equipment
• Model for detailed analysis of conditions inside of an equipment

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

doc. Ing. Jiří Hájek, Ph.D.

Department

Institute of Process Engineering (ÚPI)

Learning outcomes of the course unit

Students will understand the basic principles of mathematical model design for complex systems. They will also learn about model application in practice. They will get an overview of process and energy systems and the types of models that are used for design, analysis and optimization. After finishing the course, students should be able to choose appropriate type of model for the design, analysis or optimization of a system or equipment and should understand the basic principles of those models.

Prerequisites

Process systems engineering, basic knowledge of mathematics, physics and chemistry from the first four semesters at FME.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Seminars are focused on practical acquaintance with topics presented in lectures, with examples of work in appropriate software tools for the discussed model types.

Assesment methods and criteria linked to learning outcomes

SEMINARS: Regular and active attendance is required and checked. Written test must be passed successfully. Test is successfully passed if more than half of points are obtained. The student has the possibility of one repeat. The obtained points from test are carried to the exam.

EXAM: The exam is written. Maximum overall number of points that can be obtained within the course is 100. The course evaluation is performed by a standard procedure, according to the number of obtained points (0-50 points …F, 51-60 points …E, 61-70 points …D, 71-80 points …C, 81-90 points …B, more than 90 points …A).

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Students will get acquainted with the basic principles of mathematical models for design, analysis and optimization of industrial units (processes) or equipment. Students should be able to choose a proper model type for the solution of typical problems, understand the character of the corresponding solution methods.

Specification of controlled education, way of implementation and compensation for absences

The attendance at seminars is checked. Two non-excused absences are allowed. The lectures are optional.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

R. M. Felder and R. W. Rousseau, Elementary Principles of Chemical Processes, 3rd Update Edition. Wiley, 2004.

Recommended reading

Perry, Robert H.: Perry’s chemical engineers’ handbook, McGraw-Hill, New York, 2008
Ramirez, W. F.: Computational Methods for Process Simulation, 2 edition. Oxford ; Boston: Butterworth-Heinemann, 1998

Classification of course in study plans

  • Programme B3S-P Bachelor's

    branch B-EPP , 3. year of study, winter semester, compulsory

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Hájek, Ph.D.

Syllabus

1. Basics of modelling. Definition of system. Oriented graph. Branches and nodes. Demonstration on a concrete example
2. Mass balance, species balance, energy balance, material and energy streams, unit operations, extensive and intensive properties.
3. Simulation and modelling. Simple models. Mixers, splitters, manipulators, heat exchangers.
4. Degrees of freedom, solvability, sequential modular simulation. System description by equations. Recycle stream and iterative solution.
5. Steady and unsteady, continuous and batch process. Chemical reaction kinetics, equilibrium, conversion.
6. Sensitivity analysis. Objective function, feasible set, optimization. Hierarchy of process/equipment model and optimization.
7. Algebraic systems of equations, application to process system balancing.
8. Example problem – process system balancing using software W2E
9. System of ordinary differential equations, application to simulation of process systems.
10. Example problem – Simulation of process systems in MATLAB.
11. System of partial differential equations, application to stress/strain analysis in ANSYS.
12. System of partial differential equations, application to fluid flow analysis.
13. Example problem – fluid flow in ANSYS FLUENT.

Exercise

26 hours, compulsory

Teacher / Lecturer

Ing. Jiří Vondál, Ph.D.

Syllabus

Computer-aided seminars. Work on computers related to lecture subjects in programs W2E, MATLAB, ANSYS.