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Modelling of Metallurgical Processes

Type of study Follow-up Master
Language of instruction Czech
Code 652-3058/01
Abbreviation MMP
Course title Modelling of Metallurgical Processes
Credits 5
Coordinating department Department of Metallurgical Technologies
Course coordinator Ing. Josef Walek, Ph.D.

Subject syllabus

1. Introduction.
2. Basic concepts of process modelling, classification of models according to different criteria. Physical modelling, its importance in different scientific fields. Similarity of systems, similarity constants.
3. Dimensionless parameters (similarity criteria), distribution and properties of similarity criteria. Complete physical equations, basic equations, criterial equations. Dimensional analysis.
4. Determination of dimensionless parameters by the method of similarity transformation of basic equations. Similarity transformation of Navier-Stokes equations. Approximate physical modelling. Physical meaning of some similarity criteria, the problem of simultaneous observance of the identity of Fr and Re criteria. Determination of volume flow scales.
5. Experimental basis of physical modelling. Methods for determination of retention times, impulse-response method, RTD curves, flow visualization. Physical modelling of liquid metal flow. The laws of construction of physical models. Basic experimental procedures in physical modelling of liquid metal flow.
6. Fundamentals of flow reactor theory - hypothetical flow models, piston flow, perfect mixing. Real reactor. Retention time. C curve, F curve. Combined and dispersion flow model.
7. Selection of suitable mathematical models for description of transient processes in metallurgical processes. Empirical - mathematical and physical (adequately) - mathematical approach of solution. Theoretical foundations of mathematical description of transient processes. Approaches and methods of solution of approximation and regression. Parametric identification.
8. Numerical modelling of metallurgical processes. Theoretical foundations of mathematical modelling of transport phenomena in fluids. Flow of real fluids. Laminar and turbulent flow. Navier-Stokes equations and continuity equations. Numerical methods.
9. CFD systems. Overview of available simulation software. Examples of the use of CFD programs in practice. Basic principles of numerical simulation in CFD software ANSYS FLUENT.
10. Preprocessing: geometry, computational mesh, model selection, operating and boundary conditions. Using the definition of physical properties as a temperature dependent
function.
11. Processing: discretization schemes. Modification of subrelaxation factors. Criteria for convergence of the problem. Calculation (stationary, non-stationary).
12. Postprocessing: evaluation of results.
13. Modelling of solidification processes of metallic systems.

Literature

[1] MAZUMDAR, D., EVANS, J.W. Modeling of steelmaking processes. Boca Raton: CRC Press, c2010. ISBN 978-1-4200-6243-4.
[2] JACK ZECHER, FEREYDOON DADKHAH: ANSYS Workbench Tutorial with Multimedia CD Release 12. Schroff Development Corporation. 2009. 256 s. ISBN-10: 1585035815 .
[3] NASTAC, L., PERICLEOUS, K., SABAU, A. S.; ZHANG, L., THOMAS, B. G. (ed.). CFD modeling and simulation in materials processing 2018. The minerals, metals & materials series. Cham, Switzerland: Springer, [2018]. ISBN 978-3-319-72058-6.

Advised literature

[1] PEYRET, R. (ed.) Metallurgy and materials. New York: NY Research Press, [2015]. ISBN 978-1-63238-320-4.
[2] MANDAL, S. K. Steel metallurgy: properties, specifications and applications. New York: McGraw-Hill Education, [2015]. ISBN 978-0-07-184461-1.
[3] DANTZIG, J. A., RAPPAZ, M. Solidification. Engineering sciences. Materials. Lausanne: EPFL Press, c2009. ISBN 978-2-940222-17-9.