| Course Unit Code | 618-3014/03 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| MIH50 | prof. Ing. Karel Michalek, CSc. |
| SAW002 | prof. Ing. Markéta Tkadlečková, Ph.D. |
| Summary |
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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.
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| Learning Outcomes of the Course Unit |
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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.
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| Course Contents |
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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. |
| Recommended or Required Reading |
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| Required Reading: |
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[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.
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[1] MICHALEK, K. Využití fyzikálního a numerického modelování pro optimalizaci metalurgických procesů. Ostrava: VŠB - Technická univerzita Ostrava, 2001. ISBN 80-7078-861-5.
[2] ČARNOGURSKÁ, M. Základy matematického a fyzikálního modelovania v mechanike tekutin a termodynamike. SF TU Košice, 2000.
[3] MICHALEK, K. Modelování a vizualizace metalurgických procesů: studijní opora. Ostrava: Vysoká škola báňská - Technická univerzita Ostrava, Fakulta metalurgie a materiálového inženýrství, 2014. ISBN 978-80-248-3582-2.
[4] MAZUMDAR, D., EVANS, J.W. Modeling of steelmaking processes. Boca Raton: CRC Press, 2010. ISBN 978-1-4200-6243-4.
[5] JACK ZECHER, FEREYDOON DADKHAH: ANSYS Workbench Tutorial with Multimedia CD Release 12. Schroff Development Corporation. 2009. 256 s. ISBN-10: 1585035815
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| Recommended Reading: |
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[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. |
[1] KUNEŠ, J., VAVROCH, O., FRANTA, V. : Základy modelování. SNTL Praha, 1989, 263 s.
[2] RÉDR, M., PŘÍHODA, M.: Základy tepelné techniky. Praha, SNTL, 1991, 677 s.
[3] KOZUBKOVÁ, M.: Modelování proudění tekutin Fluent, CFX, VŠB-TU Ostrava, 2008, 154 s. Dostupné z www: http://www.338.vsb.cz/wp-content/uploads/2016/03/Kozubkova-Fluent.pdf |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 30 | 21 |
| Examination | Examination | 70 | 30 |