| Course Unit Code | Course Unit Title | Number of ECTS Credits Allocated |
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| 338-0938/01 | Numerical Modeling of 3D Fluid Flow | 10 ECTS credits |
| Type of Course Unit | Choice-compulsory |
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| Level of Course Unit | Third Cycle |
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| Year of Study | First Year |
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| Semester when the Course Unit is delivered | Winter, Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech, English |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| KOZ30 | prof. RNDr. Milada Kozubková, CSc. |
| Learning Outcomes of the Course Unit |
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| Students will become familiar with the mathematical model of fluid flow, the physical meaning laminarity and turbulence. They will be able to create a mathematical model for solving application of wrapped obstacles, natural convection, the flow of contaminants and particulate material, and wall heat transfer problem. An important part of the work will be the solution evaluation, comparison with theory and experiments and determine the limits of solvability in the field of application. |
| Recommended Optional Programme Components |
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| Common optional components are not offered, students of special interest can participate in departmental activities or can arrange consulting hours with lecturer. |
| Course Contents |
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- Turbulence. The physical significance of turbulence, mathematical models of laminar and turbulent flow with heat transfer, flow and incompressible compressible media. Random nature of turbulence, statistical approaches, Reynolds rules, vector and tensorial equations.
- Numerical solution of flow. Numerical solution of the Navier - Stokes equation and continuity equation methods, the basic differential, integral method, finite volume, finite element method, spectral method.
- The principle of finite volumes. The finite volume method applied to one-dimensional flow. Solving discretized equations. SIMPLE algorithm, SIMPLEC, multigridní methods, the accuracy of difference schemes.
- Wall functions. The importance of wall functions for velocity and temperature profiles
in modeling the near wall, dimensionless parameter criterion for y +, use of wall functions.
- Boundary conditions. Definition of basic flow variables at the border area, as well as turbulent variables, variables related to heat transfer wall, weight fractions of impurities, etc. Time-dependent boundary conditions.
- Methods of solving turbulent flow. Direct simulation (DNS) method, simulations of large eddies (LES, DES), time-averaging method (standard k-eps model, RNG k-eps model (renormalization group method), k-omega model, the RSM model (Reynolds stress model).
- preprocessor GAMBIT. Use preprocessor GAMBIT geometry creation, mesh generation, transfer the geometry from CAD systems into GAMBIT, treatment of transferred data, mesh generation, mesh quality control and export to FLUENT.
- The software FLUENT. Using FLUENT for numerical solution. Grid adaptation during the simulation. Modification of numerical parameters such as residual limitations, relaxation parameters, multigrid.
- Applications. The theoretical findings are used to wrap solution obstacles, lift forces, natural convection, the flow of gas and impurities, solid particles (aerosols), the wall heat transfer, fluid flow, taking into account a mixture with chemical reactions |
| Recommended or Required Reading |
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| Required Reading: |
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ANSYS FLUENT INC. FLUENT 13.16- User’s guide. [Online]. c2010. Dostupné z:
< URL:http://sp.1.vsb.cz/DOC/Fluent_12.0.16/html/ug/ /main_pre.htm >.
|
KOZUBKOVÁ, M.: Modelování proudění tekutin FLUENT, CFX. Ostrava: VŠB-TU, 2008, 115 s., ISBN 978-80-248-1913-6, (Elektronická publikace na CD ROM). Dostupné z internetu: http://www.338.vsb.cz/seznam.htm
BOJKO, M. Návody do cvičení „Modelování proudění“ – Fluent. Ostrava. VŠB-TU Ostrava, 2008. ISBN 978-80-248-1909-9. Dostupnost: < http://www.338.vsb.cz ?.
|
| Recommended Reading: |
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RODI, W.: Numerische Berechnung turbulenter Stromungen in Forschung und Praxis. Sonderforschungsbereich 210, Karlsruhe: TU, 1992, 245 p.
ROACHE, P.J.: Computational Fluid Dynamics. Albuquerque: Hermosa Publishers, 1976,612 p.
VAN DEN ZANDEN, J.: Numerical Simulation on Fluid Flow. Lecture Notes, Delft: Laboratory for Aero- and Hydrodynamics, 1998, 188 p.
STULL, B.R.: An Introduction to Boundary Layer Meteorology, Dordrecht: Kluwer Academic Publishers, 1994, 666 p.
HEWIT, G., F. and others. Prediction of Turbulent Flow. Cambridge University Press. 343 p. 2005. ISBN-13978-0-521-8389-3
NIKOLAY I. KOLEV. Multiphase flow dynamics. 1, Fundamentals / - 2nd ed. Berlin : Springer, c2005 - xxxv, 753 s. : il. + 1 CD-ROM ISBN 3-540-22106-9
INCROPERA, F. a kol. Fundamentals of Heat and Mass Transfer, 6. edition, John Wiley and Sons 2007, 996p., ISBN 978-0-471-45728-2
|
| KOZUBKOVÁ, M. Matematické modely kavitace a hydraulického rázu. 1.vyd. Ostrava: VŠB-TU, 2009. 130s. ISBN 978-80-248-2043-9. |
| Planned learning activities and teaching methods |
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| Seminars, Individual consultations |
| Assesment methods and criteria |
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| Tasks are not Defined |
| Work placement(s) |
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| Course does not contain work placement. |
