338-0546/04 – Modeling of fluid flow with heat transfer (MPsPT)

Gurantor departmentDepartment of Hydromechanics and Hydraulic EquipmentCredits4
Subject guarantordoc. Ing. Marian Bojko, Ph.D.Subject version guarantorprof. RNDr. Milada Kozubková, CSc.
Study levelundergraduate or graduateRequirementChoice-compulsory
Study languageCzech
Year of introduction2016/2017Year of cancellation2020/2021
Intended for the facultiesUSPIntended 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.
RAU01 Ing. Jana Jablonská, 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 2+2
Part-time Credit and Examination 12+5

Subject aims expressed by acquired skills and competences

In this course, students will learn in detail the basic concepts of modeling fluid flow and heat transfer, ie conduction and convection. They will also gain knowledge about mathematical models of multiphase flow with phase change (eg cavitation), optimization of geometry in terms of hydraulic quantities and the possibility of modeling time-dependent vortex structures. They will learn to solve selected problems using available software.

Teaching methods



The subject deals with the physical meaning of turbulence and mathematical models of laminar and turbulent flow with heat transfer. The mathematical model is defined by a system of partial differential equations and supplemented by boundary and initial conditions. In addition to normal hydraulic flow conditions, wall conditions, heat transfer through the wall, time-dependent boundary conditions, and conditions for multi-phase flow are also taken into account. Classical models of turbulence are defined in detail. The theory is applied to examples solving bypassing of obstacles, buoyancy force, natural convection, heat transfer through the wall, etc. For the solution is applied software product Ansys-Fluent, which uses the finite volume method.

Compulsory literature:

[1] ANSYS Fluent User’s Guide (Release 18.2). 2017. [2] INCROPERA, P. F., DEWITT, P. D., BERGMAN, L. T., LAVINE, S. A. Fundamentals of Heat and Mass Transfer. 997 s. ISBN 978-0-471-45728-2.

Recommended literature:

[1] ANSYS Fluent Theory Guide (Release 18.2). 2017. [2] ANSYS Fluent Tutorial Guide (Release 18.2). 2017.

Way of continuous check of knowledge in the course of semester

Credit consists of two tests (1st and 2nd test are equally evaluated, ie min. 5 points, max. 8 points) during the course and seminar work (min. 15 points, max. 19 points). Credit: min. 25 points max. 35 points Exam: min. 26 points max. 65 points


Other requirements

Students prepare seminar paper. They must obtained the minimum number of points for credit. Questions: 1. Continuum hypothesis 2. Methods of solution of heat, mass and momentum transfer 3. Physical properties of solids and liquids 4. Dimensionless criteria 5. Convective transition, diffusion transition, balance equation of transition 6. Boundary conditions 7. Numerical methods, difference method, finite volume method 8. Creation of geometry, mesh elements, convergence and residuals, acceleration of convergence, relaxation 9. Conduction heat transfer equations, boundary conditions 10. Laminar flow, mass and momentum transfer (continuity equation, Navier-Stokes (moment, motion) equation) 11. Boundary and initial conditions on inlet, outlet and wall 12. Theory of laminar flow with heat transfer, solution of conduction and convection in laminar flow, boundary conditions 13. Turbulence, Reynolds time averaging, k-ε two-equation model of turbulence 14. Boundary conditions for k-ε turbulent model, ie mass flow, turbulent quantities, inlet pressure, outlet pressure, Outflow 15. Wall functions, possibilities of refinement of calculation, influence of mesh quality on choice of wall function for various turbulence models, selection of turbulent model for refinement of calculation 16. Conduction and convection solution in turbulent flow, heat transfer in turbulent flow around the cylinder, boundary conditions 17. Analysis of heat exchangers, basic types of heat exchangers and their description, heat output and pressure drop of heat exchanger 18. Time-dependent solution, time-dependent boundary conditions 19. Multi-phase flow, principle of cavitation and water hammer 20. Optimization of shape in terms of hydraulic quantities


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Outline of the course: 1. Introduction, physical properties of fluids, balance transfer equation 2. Differential method, network types, finite volume method, relaxation, residuals 3. Conduction, heat conduction in a plate, time-dependent solution 4. Laminar flow, application to water flow between plates, boundary conditions, calculation of velocity profile 5. Conduction and convection in laminar flow, evaluation of thermal quantities, reference values 6. Turbulence, calculation and evaluation of turbulent quantities, boundary conditions for turb. quantities, 7. Accuracy of wall turbulence calculation according to gradient, RSM, LES, DNS methods, flow around cylinder 8. Conduction and convection in turbulent flow, single pipe wrapping, cross pipe wrapping and in-line, temperature-dependent physical properties 9. Heat exchangers in general, co-current, counter-current, physical properties of gas, kinetic theory, example of a tube heat exchanger, spiral heat exchanger 10. Time-dependent flow, boundary conditions of time-dependent solution, FFT-examples 11. Optimization of flow geometry (elbow) 12. Multiphase flow, physical properties of mixture, flow of gas mixture, gravity 13. Cavitation flow, porous medium flow - nozzle application, 14. Vectors in flow theory, discussion

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester, validity until: 2020/2021 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  25
        Examination Examination 65  26 3
Mandatory attendence participation: full-time study - 80% attendance part-time study - 50% attendance

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (N2658) Computational Sciences (2612T078) Computational Sciences P Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N2658) Computational Sciences (2612T078) Computational Sciences P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N2658) Computational Sciences (2612T078) Computational Sciences P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

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