635-3008/01 – Modelling of thermal processes (MTP)
| Gurantor department | Department of Thermal Engineering | Credits | 6 |
| Subject guarantor | prof. Dr. Ing. René Pyszko | Subject version guarantor | prof. Dr. Ing. René Pyszko |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2014/2015 | Year of cancellation | 2022/2023 |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
- the student will be able to apply the dimensional analysis to solve engineering problems,
- the student will be able to solve analytically or numerically difficult problems of heat transfer by conduction and convection,
- the student will be able to apply theoretical methods to solve the heat exchange by radiation between multiple surfaces,
- the student will be able to describe and analyze ways of heat transport in the continuous casting.
Teaching methods
Lectures
Tutorials
Summary
The course focuses on the theoretical and practical approaches to modelling the transport of heat. Attention is paid to the application of the theory of similarity, modelling of heat conduction in planar, cylindrical and spherical wall in case of the surface condition of 1st 3rd type and modelling of heat exchange by radiation between multiple surfaces in diathermic environment. Knowledge is applied to the modelling of heat transfer in continuous casting process.
Compulsory literature:
[1] LIENHARD IV, J. H., LIENHARD V, J. H. A Heat Transfer Textbook. 4th ed. Cambridge: Phlogiston Press, 2012. http://web.mit.edu/lienhard/www/ahtt.html
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
There are no other requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Objectives of modelling, types of models. Physical and mathematical modelling.
2. Basic theory of similarity. Complete physical equation, boundary conditions. Constant of similarity indicator of similarity criterion. Derivation of criteria equation using the analysis of the basic equations method.
3. The principle of dimensional analysis, application to practical problems.
4. Modelling of heat conduction. Heat conduction equation, Laplace operator for Cartesian, cylindrical and spherical coordinates.
5. Temperature profile and heat flow in the cylindrical wall. The critical radius of the cylindrical wall, the critical radius of the cylindrical wall insulation. Temperature profile and heat flux in spherical wall.
6. Temperature profile in the cylindrical wall with an internal volume heat source, an electric wire.
7. Heat conduction in rods (ribs) of finite and infinite length.
8. Modelling of heat radiation. View factors. Radiating heat exchange between several surfaces in diathermic environment.
9. Numerical models. Principle of finite difference and finite element methods. Numerical substitution of derivatives in the Fourier’s heat equation. Comparison of explicit, implicit and mixed networks.
10. The method of elementary balances for steady and unsteady problem in Cartesian and polar coordinates.
11. Stability condition for explicit methods of internal and external element, fictitious temperature. Accuracy of the numerical solution.
12. Modelling of phase change in temperature numerical models.
13. Modelling of continuous casting, methods of determining the boundary conditions. Influence of different parameters on heat transfer in the mould and in the secondary and tertiary zones of cooling.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction