338-0546/01 – 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	Czech
Year of introduction	2013/2014	Year of cancellation
Intended for the faculties	FS, USP	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
ADA0214	Ing. Jan Adamec
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 study	Way 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

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

Zápočet se skládá z hodnocení dvou testů (1. a 2. test jsou stejně hodnoceny, tj. min. 5 bodů, max. 8 bodů) v průběhu výuky a seminární práce (min. 15. bodů, max. 19 bodů). Zápočet: min. 25 bodů max. 35 bodů Zkouška: min. 26 bodů max. 65 bodů Zkouška bude probíhat kombinovanou formou.

E-learning

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

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Part-time form (validity from: 2013/2014 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (100)	51
Exercises evaluation	Credit	35	25
Examination	Examination	65	26	3

Valid from	Valid until	Mandatory attendence participation
Dec 20, 2017 7:51:54 AM	Sep 17, 2019 4:07:48 PM	xxx

Mandatory attendence participation: full-time study - 80% attendance part-time study - 50% attendance

Show history

Conditions for subject completion and attendance at the exercises within ISP: In order to complete the credit, students must prepare an individual semester project a successfully pass the credit test. On the basis of the completed credit, they can pass an exam, which will consist of a written and oral part.

Show history

Occurrence in study plans

Academic year	Programme	Branch/spec.	Spec.	Form	Study language	Tut. centre	Year	Type of duty
2024/2025	(N0715A270033) Applied Mechanics			K	Czech	Ostrava	1	Compulsory	study plan
2024/2025	(N0715A270033) Applied Mechanics			P	Czech	Ostrava	1	Compulsory	study plan
2024/2025	(N0715A270035) Hydraulics and pneumatics			K	Czech	Ostrava	1	Compulsory	study plan
2024/2025	(N0715A270035) Hydraulics and pneumatics			P	Czech	Ostrava	1	Compulsory	study plan
2023/2024	(N0715A270033) Applied Mechanics			P	Czech	Ostrava	1	Compulsory	study plan
2023/2024	(N0715A270033) Applied Mechanics			K	Czech	Ostrava	1	Compulsory	study plan
2023/2024	(N0715A270035) Hydraulics and pneumatics			K	Czech	Ostrava	1	Compulsory	study plan
2023/2024	(N0715A270035) Hydraulics and pneumatics			P	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N0715A270033) Applied Mechanics			K	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N0715A270033) Applied Mechanics			P	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N0715A270035) Hydraulics and pneumatics			P	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N0715A270035) Hydraulics and pneumatics			K	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2022/2023	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N0715A270035) Hydraulics and pneumatics			P	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N0715A270035) Hydraulics and pneumatics			K	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N0715A270033) Applied Mechanics			P	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N0715A270033) Applied Mechanics			K	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2021/2022	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N0715A270033) Applied Mechanics			P	Czech	Ostrava	1	Compulsory	study plan
2020/2021	(N0715A270033) Applied Mechanics			K	Czech	Ostrava	1	Compulsory	study plan
2019/2020	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2019/2020	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2019/2020	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2019/2020	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2018/2019	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2018/2019	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2018/2019	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2018/2019	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2017/2018	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2017/2018	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2017/2018	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2017/2018	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		K	Czech	Ostrava	1	Compulsory	study plan
2016/2017	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		P	Czech	Ostrava	1	Compulsory	study plan
2016/2017	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		K	Czech	Ostrava	1	Compulsory	study plan
2016/2017	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2016/2017	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2016/2017	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2015/2016	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2015/2016	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		P	Czech	Ostrava	1	Compulsory	study plan
2015/2016	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2015/2016	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2015/2016	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		K	Czech	Ostrava	1	Compulsory	study plan
2014/2015	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2014/2015	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2014/2015	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		P	Czech	Ostrava	1	Compulsory	study plan
2014/2015	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan
2014/2015	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		K	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(3901T003) Applied Mechanics		P	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		P	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(2302T006) Energy Engineering		K	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(3909T001) Design and Process Engineering	(16) Hydraulics and Pneumatics	P	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(3909T001) Design and Process Engineering	(16) Hydraulics and Pneumatics	K	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		P	Czech	Ostrava	1	Compulsory	study plan
2013/2014	(N2301) Mechanical Engineering	(2302T043) Hydraulics and Pneumatics		K	Czech	Ostrava	1	Compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction