# 338-0938/01 – Numerical Modeling of 3D Fluid Flow (NumMod3D)

 Gurantor department Department of Hydromechanics and Hydraulic Equipment Credits 10 Subject guarantor prof. RNDr. Milada Kozubková, CSc. Subject version guarantor prof. RNDr. Milada Kozubková, CSc. Study level postgraduate Requirement Optional Year Semester winter + summer Study language Czech Year of introduction 1999/2000 Year of cancellation 2012/2013 Intended for the faculties HGF, FEI, FS, FBI Intended for study types Doctoral
Instruction secured by
KOZ30 prof. RNDr. Milada Kozubková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 25+0
Part-time Credit and Examination 25+0

### Subject aims expressed by acquired skills and competences

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.

### Teaching methods

Seminars
Individual consultations

### Summary

Course is focused on the possibility of space modeling of flow and the creation of geometry and grid for modeling flow. Students will extend their theoretical knowledge concerning the transfer of mass, momentum and heat of turbulent flow. To solve the system of equations describing the flow the finite volume method will be used. Application of methods will be focused on solving the multiphase flow and flow of discrete particles, the solution flow with chemical reactions, combustion of fuels, etc. For practical applications Software ANSYS - Fluent and CFX resp. is used. Seminar work will involve mathematical and numerical modeling of practical problems, such as flow around obstacles, natural and mixed convection flow and admixture of material particles, heat transfer wall according to the specific focus of doctoral dissertation

### Compulsory literature:

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 >.

### Recommended literature:

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

### Other requirements

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### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

- 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

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
Examination Examination 100  0
Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
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2011/2012 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2010/2011 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
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2010/2011 (P2301) Mechanical Engineering (2302V019) Contruction of Production Machines and Equipment K Czech Ostrava Choice-compulsory study plan
2010/2011 (P2102) Mineral Raw Materials (3902V010) Automation of Technological Processes P Czech Ostrava Optional study plan
2009/2010 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2009/2010 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava Choice-compulsory study plan
2009/2010 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics K Czech Ostrava Choice-compulsory study plan
2009/2010 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2009/2010 (P2102) Mineral Raw Materials (3902V010) Automation of Technological Processes P Czech Ostrava Optional study plan
2008/2009 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2008/2009 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava Choice-compulsory study plan
2008/2009 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics K Czech Ostrava Choice-compulsory study plan
2008/2009 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2007/2008 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2007/2008 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava Choice-compulsory study plan
2007/2008 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics K Czech Ostrava Choice-compulsory study plan
2007/2008 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2006/2007 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2006/2007 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava Choice-compulsory study plan
2006/2007 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics K Czech Ostrava Choice-compulsory study plan
2006/2007 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics K Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2004/2005 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2004/2005 (P2301) Mechanical Engineering (2302V007) Hydraulics and Pneumatics P Czech Ostrava 1 Choice-compulsory study plan

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