618-0812/02 – Modelling of Metallurgical Processes (MoMePr)

Gurantor departmentDepartment of Metallurgy and FoundryCredits5
Subject guarantorprof. Ing. Karel Michalek, CSc.Subject version guarantorprof. Ing. Karel Michalek, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2004/2005Year of cancellation2010/2011
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
GRY04 doc. Ing. Karel Gryc, Ph.D.
MIH50 prof. Ing. Karel Michalek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 16+0

Subject aims expressed by acquired skills and competences

- student will be able to characterise importance, methods and utilisation of modelling methods in technical practice - 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 fundamentals of 3D modelling of geometry and numerical modelling in CFD programme FLUENT

Teaching methods

Individual consultations
Experimental work in labs
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 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 Operation. 2000. ISBN 1-58488_017_1. [2] Cockcroft S.L., M. Maijer D.M.: Modeling of Casting, Welding, and Advanced Solidification Processes XII. Vancouver, British Columbia, 2009, 728 p. ISBN 978-0-87339-742-1. [3] Stefanescu, D.M.: Science and Engineering of Casting Solidification, 2nd ed. 2009, 402 p. ISBN 978-0-387-74609-8

Recommended literature:

[1]User's Guide MS Word, MS Excel [2]Magazines: Ironmaking & Steelmaking, Steel Research International etc. [3]Articles in professional journals, papers from conferences, research reports, theses. [4]Mazumdar, D., Evans, J., W.: Modeling of Steelmaking Processes. CRC Press, 1 edition, 2009. 493 pages. ISBN-13: 978-1420062434 [5]Ghosh, A., Chatterjee, A.: Ironmaking and Steelmaking. Prentice-Hall of India Pvt.Ltd, 2008. 472 pages. ISBN-13 978-8120332898 [6]Lee, H.-H.: Finite Element Simulations with ANSYS Workbench 13. SDC Publications, Pap/DVD editions, 2011. 608 pages. ISBN-13: 978-1585036530

Way of continuous check of knowledge in the course of semester

Two scored semester works and its presentation in relevant seminars during exercises. Two scored progress tests.


Only study support in Czech language is available now: http://www.fmmi.vsb.cz/cs/okruhy/studium-a-vyuka/podklady-ke-studiu For electronic communication with the teachers enjoy the university e-mail addresses those can be found here: http://staff.vsb.cz/ Integration of e-learning elements into the subject is in progress.

Other requirements

There are not additional requirements on students in the field of this subject.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Lectures 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. 4.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. 5. 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. 6. 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. 7. Theoretical principles of mathematical modelling of fluid flow phenomena. Flow of real fluids. Laminar and turbulent flow. Navier-Stokes equations and continuity equation. Mathematical models of turbulence. Computational mesh. Discretization technique. 8. CFD software systems. The procedure of numerical simulation in CFD programme ANSYS FLUENT. Preprocessing - geometry creation and generation of computational mesh, the definition of a physical model, the choice of turbulence model, setting of the operational conditions, determination of material properties and boundary conditions. Processing - Solving: the actual implementation of the calculation (stationary, nonstationary), convergence of the solution. Postprocessing - evaluation of results. Examples of using CFD programmes in practice. 9. 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. 10. The method of planned experiment - DOE. Basic terms, objectives, utilization of planned experiment. Develop a plan of the experiment. Calculation of the effects of factors and interactions. Development of the model experiment. Software support of DOE methodology. Practical use of DOE methods. 11. Static and dynamic model of heat management in the oxygen converter. Basic management level, superior management level. The essence of a dynamic model of management, monitoring of the heat, the relevant data to manage the heat, the methods of measurement. The main features of calculating the charge for heat in oxygen converter. Innovation of melting process. To obtain credit in the combined study form is needed to develop a session project.

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Exercises evaluation Credit 30 (30) 0 3
                Other Type of Task Other task type 30  0
        Examination Examination 70 (70) 0 3
                Written examination Written examination 20  0 3
                Oral Oral examination 50  0 3
Mandatory attendence participation:

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

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2010/2011 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2009/2010 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2008/2009 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2007/2008 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2006/2007 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan
2005/2006 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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