635-0801/01 – Simulation 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 | Choice-compulsory |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2003/2004 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
- to apply dimensional analysis on solving technical problems
- to solve analytically or numerically more complex problems of heat transfer
- to interpret beam algebra in determination of view factors
- to analyze particular mechanisms of heat removal in secondary metallurgy, continuous casting and controlled rolling
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
Dimensional analysis. Analytical and numerical solving of thermal problems. Radiation shape factor determination. Thermal processes in ladles at secondary metallurgy. ors. Heat transfer in continuous cast steel. Heat removal at rolling.
Compulsory literature:
LIENHARD IV, J. H., LIENHARD V, J. H. A Heat Transfer Textbook, 4th edition. http://web.mit.edu/lienhard/www/ahtt.html
STREETER, V. I., WYLIE, E. B. Fluid Mechanics. 7th edition. McGraw-Hill Book Company, New York 1979. Chapter 4.
Recommended literature:
Journals: Stahl und Eisen, Ironmaking and Steelmaking.
Way of continuous check of knowledge in the course of semester
written test
E-learning
http://katedry.fmmi.vsb.cz/635/;
There is a continuous expansion of e-learning elements into teaching.
Other requirements
Additional requirements for student are not
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
Similarity, dimensional analysis, the Buckingham pi-theorem, Eigenson, van Driest formula. Dimensional analysis applications. Density of heat flow in a flat wall surface condition of the I. and III. kind. The coefficient of convective heat transfer in isothermal turbulent steady flow in the pipe. Convection heat transfer coefficient in the underdeveloped isothermal turbulent fluid flow in pipe. Temperature field in a plane wall with an internal volumetric heat release in boundary condition of the 1st and 3rd kind. Unsteady temperature field in a plane wall in boundary condition of the 3rd kind
Modelling, types of modelling - division according to various aspects. Mathematical modelling. Analogy of convection in the tube and molecular diffusion, criterion Sc, Sh, mass transfer coefficient. Hydraulic analogy. Physical modelling. Approximate modelling. Self-similarity. Velocity field and pressure drop in laminar flow and turbulent flow.
Steady heat conduction. Critical radius of the cylindrical wall, a critical radius of insulation. Temperature field and heat flux spherical wall - boundary condition of the 1st and 3rd kind. Temperature field and heat flow in a plane wall - thermal conductivity is a function of temperature. Temperature field plates and cylinders with an internal volumetric heat release. Heat conduction and infinite rod of finite length. Fin efficiency. 2D, 3D tasks. Analytical solutions – a method of separation of variables. Numerical solutions.
Unsteady heat conduction. Analytical solutions - a method of separation of variables. Solutions for complex body shapes. Numerical solutions, Differential method - explicit, implicit, Crank-Nicolson. The stability of explicit numerical methods.
Convective heat transfer. Analytical solutions.
Heat radiation. View factor - beam algebra.
Thermal processes in ladles at secondary metallurgy. Heat balance, influence of technological and design factors.
Solidification and cooling of continuous cast steel. Influence of particular parameters at heat removal in the mould. Heat removal in the secondary cooling zone.
Heat removal at rolling. Importance of particular mechanisms of heat transfer, controlled rolling.
Tutorials:
Overview of software tools that will be used for modelling (Excel, Matlab, Visual Basic for Excel, Pascal)
Models, based on the use of analytical solutions:
Model of the temperature profile in planar, cylindrical, and spherical walls
Modelling the critical radius of the cylindrical wall
-Modelling the critical radius of insulation
Modelling of heat removal by the fin
Numerical models using the finite difference method:
Stationary model of temperature field of a 2D object
Stationary model of temperature field CC mould wall
Stationary temperature field model of multi-layer wall of a furnace, including a corner
Stationary model of temperature field of the cylindrical wall
Transient model of temperature field of a planar wall
Test: derivation of formula for the temperature of the nodal point of the specified type
Checking of fulfilment of the solved examples
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.