635-3040/01 – Modelling of thermal processes (MTP)
| Gurantor department | Department of Thermal Engineering | Credits | 6 |
| Subject guarantor | Ing. Mario Machů, Ph.D. | Subject version guarantor | Ing. Mario Machů, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Student will be able to:
- apply the theory of similarity in modelling,
- use dimensional analysis to describe physical processes, assemble a criteria equation,
- determine the boundary conditions of thermal problems,
- apply the stationary and non-stationary method of elementary balances, respectively, of the finite volumes to solve problems of heat conduction, convection, and radiation,
- determine the conditions of stability of an explicit method,
- solve numerical problems of heat conduction with phase change,
- solve problems of heat exchange by radiation between several surfaces,
- analyze and algorithmize heat transfer in furnaces and continuous casting machines and determine boundary conditions.
Teaching methods
Lectures
Individual consultations
Tutorials
Experimental work in labs
Summary
The course focuses on theoretical and practical approaches to modelling of heat transport. Attention is paid to the application of the theory of similarity, the use of dimensional analysis for the description of physical phenomena, the numerical modelling of heat conduction in Cartesian and cylindrical coordinates using the method of elementary balances, respectively, finite volume methods, boundary conditions determination, heat conduction with phase change modelling, heat exchange by radiation between multiple surfaces in a diathermic environment. Knowledge is applied to the modelling of heat transfer in furnaces and in the continuous casting process, including the determination of boundary conditions.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Written test and oral exam.
E-learning
Other requirements
No more requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
• Goals of modelling, types of models. Physical and mathematical modelling.
• Fundamentals of theory of similarity. Physical equation, conditions of unambiguity. Constant of similarity, similarity indicator, invariant. Derivation of the criteria equation by the method of analysis of the fundamental physical equation.
• Principle of dimensional analysis, application on practical problems.
• Physical modelling. Using analogies.
• Implementation of thermo-physical properties dependencies in numerical models. Regression analysis, interpolation. Practical tasks.
• Boundary conditions. Using criteria equations to define surface conditions.
• Modelling of heating and cooling of a heat-slim body with recrystallization. Implementation of the model in Matlab and Excel.
• Modelling of heat conduction in thick bodies. Fourier heat conduction equation, Laplace operator discretization. Finite volume methods and finite element methods.
• Numerical substitution of derivations in the Fourier heat conduction equation. Explicit, implicit and mixed solving methods.
• Method of elementary balance for stationary and non-stationary task in Cartesian and polar coordinates. Applications for specific tasks.
• Condition of stability of explicit method for internal and external element, fictive temperature. Choice of mesh density. Accuracy of numerical solution.
• Phase change modelling. Practical task of steel solidification modelling.
• Modelling of heat conduction with mass transfer. Model of continuous casting mould.
• Combined temperature model with electric current and Joule's heat.
• Modelling heat transfer by radiation. View factors. Radiative heat transfer between several surfaces in diathermic environment.
• Modelling of heat transfer in furnace workspace.
• Modelling of the continuous casting process, methods for determining unambiguous conditions in the casting machine. Determination of surface conditions in the crystallizer, in secondary and tertiary zones. Simulation of influence of parameters on heat removal and solid shell formation.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.