338-0546/06 – 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.
KOZ30 prof. RNDr. Milada Kozubková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2
Part-time Graded credit 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

individual work of the student on exercises, preparation of a seminar work for the credit - max. 84 points 2 x test - max. 16 points


Other requirements

Students prepare seminar paper. They must obtained the minimum number of points for credit.


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: 2016/2017 Summer semester, validity until: 2020/2021 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100  51
Mandatory attendence parzicipation: full-time study - 80% attendance part-time study - 50% attendance

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2018/2019 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan
2017/2018 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan
2016/2017 (N3969) Technology of Processes in Energetics (3907T013) Technology of Processes in Energetics P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner