338-0527/03 – Turbulence (Turbu)

Gurantor departmentDepartment of Hydromechanics and Hydraulic EquipmentCredits3
Subject guarantordoc. Ing. Marian Bojko, Ph.D.Subject version guarantordoc. Ing. Marian Bojko, Ph.D.
Study levelundergraduate or graduateRequirementOptional
Study languageEnglish
Year of introduction2013/2014Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BLE02 doc. Ing. Tomáš Blejchař, Ph.D.
BOJ01 doc. Ing. Marian Bojko, Ph.D.
KOZ30 prof. RNDr. Milada Kozubková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+3
Part-time Credit and Examination 4+6

Subject aims expressed by acquired skills and competences

Students will become familiar with the possibilities of simulation of turbulent flow of fluids in various fields of engineering, civil engineering, aviation, metallurgy and other areas where there are equipment and machinery, which contain liquid. They create 2D and 3D CFD models of real devices in an ANSYS-Fluent. When creating a geometric model, students will build on previous knowledge of drawing in higher CAD systems. Students will analyse the assignment of tasks solved in the basic knowledge acquired in the course Fluid Mechanics. They will solve the CFD simulation by different models of turbulence in applications of airflow around the body, heat transfer, the interaction of two different fluids. Students will interpret the results of simulations and analyse the flow.

Teaching methods



The subject is focused on modeling possibilities of turbulent fluid flow in different areas of mechanical engineering, civil engineering, aviation, metallurgy and other fields, where there are devices and machines that contain fluid, or use it for their activities. The finite volume method (MKO) will be used to solve the system of flow equations. They will be created during the lessons 2D and 3D CFD models of real equipment in ANSYS Fluent. In the course of education, the program DesignModeler will be used to create geometry and the program ANSYS Meshing will be used to create a computational grid.

Compulsory literature:

INCROPERA, F., P. ET AL. Fundamentals of heat and mass transfer. 6th ed.. Hoboken : Wiley, c2007 – xxv. 997 s. ISBN 0-471-45728-0. SHAUGHNESSY, E. J., KATZ, I. M., SCHAFFER, J. P. INTRODUCTION TO FLUID MECHANICS. New York: Oxford University Press, Inc. 2005. p. 1018. ANSYS Fluent Theory Guide (Release 18.2). 2017.

Recommended literature:

RODI, W., FUEYO, N. Engineering Turbulence Modelling and Experiments 5. First edition. Oxford: ELSEVIER SCIENCE Ltd. 2002. p. 1010. ISBN 0-08-044114-9. ANSYS Fluent Tutorial Guide (Release 18.2). 2017. ANSYS Fluent User’s Guide (Release 18.2). 2017.

Way of continuous check of knowledge in the course of semester

seminar work and oral examination



Other requirements

At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse)..


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Introduction, numerical modeling of fluid flow - various commercial systems, ANSYS, types of tasks in the program ANSYS 2. Coordinate system, the Navier-Stokes equations (laminar flow), counting rules, examples, flow in tube, creation of geometry in the ANSYS Workbench, principle of creation computational area and modification of geometry, creation of computational grid, process in creation grid. Demonstration of grid. 3. The physical meaning of turbulence, methods of of modification geometry and creation of grid on real geometry created in CAD. Mathematical models of turbulence, the N-S equation, continuity equation, 4. Reynolds stress, time averaging, Reynolds rules, Boussinesq 's hypothesis, two equation turbulence model. 5. CFD model of flow in a sudden extension of cross-flow, laminar flow regime. import of grid, compatible grids. 6. Transfer of mass, momentum and heat, conduction and convection in heat transfer, determination of thermal power, thermal gradient, heat transfer coefficient, Nusselt number. 7. Integration of the finite volume method for one-dimensional continuity equation and momentum equations, an iterative cycle, the interpolation scheme, convergence (residuals), the definition of species-multiphase model, the cavitation model, combustion model, model of thermal radiation, definition of chemical reaction. 8. Determination of pressure loss in the sudden expansion, the model testing the effect of turbulence on value of loss factor. Defining the boundary conditions function, measured data. Export data from the postprocessor, data analysis in EXCEL. 9. Boundary conditions, conditions of input and exit, conditions of symmetry, periodic conditions, conditions on the wall, the wall heat transfer, time-dependent task. Methods of solving discretized equations, LGS solver, multigrid. 10. Overview of turbulence models available in CFX, the zero-equational model, k- model, RNG k- model, the RSM model, the LES models, SAS, DES. Optimal choice of model, field of use of turbulence models. 11. Flow of real fluids, the law of conservation of mass, momentum and energy for compressible flow, supersonic flow, shock waves. 12. Co- and counterflow heat exchangers of types water-water or water-air. Specify individual seminar works and discussion. 13. The flow of solid particles and drops, the species and their definitions. Definition of tension and buoyancy drops coefficient - solid particles. 14. Special settings in CFX, multidomain simulation, paralel calculations. Integration of CFX in Workbench, the general procedure for the design and calculation of machine.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

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