Introduction to the problems and methods of mathematical modeling of combustion processes.

To enable the student to master the modeling of combustion processes so that he can use his knowledge in general, and in particular for scientific research work.

Modeling a process is its description by a system of mathematical equations that can predict its behavior with greater or lesser accuracy. Solving a system of equations is usually done numerically. Analytical solution is studied in a special field known as Mathematical Combustion Theory. This course includes a brief review of the basic elements of the combustion process and then the formation of a system of equations for the conservation of mass, momentum, energy, chemical substances and the rate of chemical reactions under non-stationary conditions. Key issues include the choice of a reference coordinate system, averaging of differential equation systems, modeling of chemical kinetics, and modeling of turbulence. The combustion of liquid and solid fuels is treated as a multiphase system that exchanges mass, momentum, and energy with the carrier, the gas phase.

Not applicable.

No requirements for attending classes.

The necessary literature and lecture notes will be provided by the teacher.

Total assigned hours: 65

New material: 35
Elaboration and examples (recapitulation): 15

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 5
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 5
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 40
Seminar paper: 0
Project: 0
Final exam: 60
Requirement for taking the exam (required number of points): 0

J. Warnatz U. Maas, R.W. Dibble, Combustion, Springer, 2000.; K. K. Kuo, Principles of Combustion, John Wiley, New York, 1986.