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.
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.