618-3014/03 – Modelling of Metallurgical Processes (MMP)

Gurantor departmentDepartment of Metallurgy and FoundryCredits6
Subject guarantorprof. Ing. Markéta Tkadlečková, Ph.D.Subject version guarantorprof. Ing. Markéta Tkadlečková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
CUP0018 Ing. Jiří Cupek
MIH50 prof. Ing. Karel Michalek, CSc.
SAW002 prof. Ing. Markéta Tkadlečková, Ph.D.
WAL0017 Ing. Josef Walek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3
Part-time Credit and Examination 16+0

Subject aims expressed by acquired skills and competences

Acquired knowledge - student will be able to formulate basic regularities of physical and numerical process modelling, - student will be able to describe similarity of processes, derivation of similarity criterion and modelling application in metallurgy of steel production, treatment and casting, - student will be able to characterise importance, methods and utilisation of modelling methods in technical practice, Acquired skills -student will be able to use his knowledge for derivation of similarity criteria and for proposal of physical modelling methods not only in metallurgy -student will be able to use fundamentals of 3D modelling of geometry and numerical modelling in CFD programme FLUENT.

Teaching methods

Individual consultations
Project work


The subject is focused on general methods of process modelling, as mathematical methods, so physical methods of modelling. The subject is focused on principle of process algorithm and their visualisation with particular applications directed to the domain of steel making, secondary metallurgy and steel casting.

Compulsory literature:

[1] ILEGBUSI, O., J., IGUCHI, M., WAHNSIEDLER, W. Mathematical and physical modeling of materials processing operations. Boca Raton: Chapman & Hall/CRC, c2000. ISBN 1-584880-17-1. [2] MAZUMDAR, D., EVANS, J.W. Modeling of steelmaking processes. Boca Raton: CRC Press, 2010. ISBN 978-1-4200-6243-4. [3]LEE, H.H. Finite Element Simulations with ANSYS Workbench 13. SDC Publications, Pap/DVD editions, 2011. 608 pages. ISBN 978-1585036530.

Recommended literature:

[1] COCKCROFT, S.L., MAIJER, D.M.M. Modeling of Casting, Welding, and Advanced Solidification Processes XII. Vancouver, British Columbia, 2009, 728 p. ISBN 978-0-87339-742-1. [2] DANTZIG, J. A. and M. RAPPAZ. Solidification. Lausanne: EPFL Press, c2009. ISBN 978-2-940222-17-9.

Way of continuous check of knowledge in the course of semester

Verbal examination with written preparation, part of the evaluation is the previous submission of the project on the chosen topic.


Other requirements

Semester works from the field of numerical modelling of metallurgical processes in CFD programme ANSYS Fluent.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Basic terms of process modelling, classification of models according to different criteria. Physical modelling and its importance in various fields of science. System Similarity, the similarity constants. The geometric, kinematic and dynamic similarity. Dynamic similarity of hydrodynamic systems. Basic types of forces in hydrodynamics. Thermal similarity. 2.Dimensionless parameters (similarity criteria), the distribution and properties of similarity criteria. A complete physical equations, the basic equations, the criterial equations. Determination of dimensionless parameters using dimensional analysis, practical examples of using of dimensional analysis. 3. Determination of dimensionless parameters using method of similarity transformation of the basic equations. Similarity transformation of the Navier-Stokes equations. Approximate physical modelling. Automodelling. Physical meaning of some similarity criteria, the issue of respecting of the identity of Fr and Re criteria. Determination of volumetric flow scales. 4. The experimental nature of physical modelling. Methods for determination of retention times, the impulse-response method, the RTD curves, flow visualization. The principles of construction of physical models. Basic experimental techniques in physical modelling of flow of liquid metals. 5. Fundamentals of flow reactors - hypothetical models of flow, plug flow, perfect mixing. Real reactor. Theoretical retention time. Curve C, curve F. A combined flow model, mean retention time, short-flow, dead volume. Dispersion flow model. 6. The selection of suitable mathematical models to describe transient metallurgical processes. Empirical - mathematical and physical (adequate) - mathematical approach a solution. Theoretical foundations of the mathematical description of the transient processes. Approaches and methods for solving of approximation and regression. Parametric identification. 7. Numerical modelling of metallurgical processes. Flow of real fluids. Laminar and turbulent flow. Navier-Stokes equations and continuity equation. Mathematical models of turbulence. Numerical methods. 8.CFD software systems.Examples of using CFD programmes in practice. The procedure of numerical simulation in CFD programme ANSYS FLUENT. 9. Preprocessing: Geometry. Computational mesh. 10. Preprocessing: the definition of a physical model, the choice of turbulence model, setting of the operational conditions, determination of material properties and boundary conditions. 11. Thermal Analysis. Determination of Heat Capacity. Determination of viscosity. Thermodynamic Databases. 12.Processing - Solving: the actual implementation of the calculation (stationary, nonstationary), convergence of the solution. Discretization technique. 13. Postprocessing - evaluation of results. 14. Modelling of metal systems solidification.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  21
        Examination Examination 70  30 3
Mandatory attendence participation: Max. 1 absence.

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production P Czech Ostrava 2 Compulsory study plan
2021/2022 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production K Czech Ostrava 2 Compulsory study plan
2020/2021 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production P Czech Ostrava 2 Compulsory study plan
2020/2021 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production K Czech Ostrava 2 Compulsory study plan
2019/2020 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production P Czech Ostrava 2 Compulsory study plan
2019/2020 (N0715A270003) Metallurgical engineering (S01) Advanced Technologies of Metals Production K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

2021/2022 Winter
2020/2021 Winter