# 338-0546/08 – Modeling of fluid flow with heat transfer (MPsPT)

 Gurantor department Department of Hydromechanics and Hydraulic Equipment Credits 4 Subject guarantor doc. Ing. Marian Bojko, Ph.D. Subject version guarantor doc. Ing. Marian Bojko, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language English Year of introduction 2013/2014 Year of cancellation Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
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

### 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.

Lectures
Tutorials

### Summary

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 at seminars, elaboration of seminar work for the credit - max. 84 points 2 tests - max. 16 points

### Other requirements

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

### Prerequisities

Subject has no prerequisities.

### Co-requisities

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: 2017/2018 Winter semester)
Min. number of pointsMax. počet pokusů
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 yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (N0713A070003) Energy Engineering SPZ P English Ostrava 1 Compulsory study plan
2022/2023 (N0713A070003) Energy Engineering SPZ P English Ostrava 1 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan
2021/2022 (N0713A070003) Energy Engineering SPZ P English Ostrava 1 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan
2020/2021 (N0713A070003) Energy Engineering SPZ P English Ostrava 1 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (N0713A070003) Energy Engineering SPZ P English Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2302T006) Energy Engineering P English Ostrava 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner