338-0546/03 – 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. Tomáš Blejchař, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 3 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2013/2014 | Year of cancellation | |
| Intended for the faculties | FS, USP | Intended for study types | Bachelor |
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:
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
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:
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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