338-0548/01 – Real Fluid Dynamics (RFDyn)
| Gurantor department | Department of Hydromechanics and Hydraulic Equipment | Credits | 5 |
| Subject guarantor | doc. Ing. Marian Bojko, Ph.D. | Subject version guarantor | doc. Ing. Marian Bojko, Ph.D. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Master, Bachelor, Follow-up Master |
Subject aims expressed by acquired skills and competences
Students completing the course will be able to:
• Specify laminar and turbulent flow, including mathematical models
• Specify laminar and turbulent flow, including mathematical models
• Solve problems flow (velocity profiles and pressure losses) in simplified geometries
• Define the boundary layer at the wrap boards or other bodies
• Identify areas of flow separation
• Orient themselves in methods of dealing with turbulent flow
Teaching methods
Lectures
Tutorials
Summary
The content of the course is to acquaint students with the theory of fluid flow in three-dimensional space and specify resolution of laminar and turbulent flow in terms of the physical nature of a mathematical description. There will be resolved foundations of the theory of stability. As part the application of the boundary layer theory to special cases of the flow in simplified geometries including practical examples.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Continuous checking of student's knowledge in exercises:
Test I (laminar flow) max. 5 points
Test II (turbulent flow) max. 5 points
Individual program I - the physical characteristics of the atmosphere max. 10 points
Individual program II - the airflow around an airfoil, drag and lift forces max. 15 points
Exam consists from two part of test
Test A - 10 questions (answer in one sentence or formula), max. 35 points
Test B - 10 questions (choose from four alternatives a), b), c), d)), max. 30 points
E-learning
Other requirements
Exam questions
1. The hypothesis of the continuum, properties of solids and fluids, properties of the atmosphere
2. Dimensionless criteria
3. Aspects of viscous flow, balance transfer equation
4. Form of boundary conditions
5. Equations of mass, momentum and energy transfer, continuity equation
6. Navier-Stokes (momentum) equation, energy equation
7. Boundary conditions on input, output and wall
8. Couette flow
9. Poiseulle flow
10. Numerical solution of Navier – Stokes equations, finite volume method, geometry and computational grid generation
11. Convergence and residuals, relaxation
12. Types of thickness of boundary layer and friction coefficient, Prandtl theory for the boundary layer
13. Pressure gradient in the boundary layer on a curved surface, drag and lift of bodies in fluid flow
14. Laminar flow around plate, Prandtl equation, Karmán’s momentum integral approach
15. Turbulence, Reynolds time averaging, one – equation Spallart-Almaras model, two - equation k- model
16. Boundary conditions for k-eps turbulent model, ie. mass flow rate, turbulent variables, pressure at inlet, pressure at outlet
17. Wall function y+, possibility of more accurate calculation, influence of grid quality on the choice of wall functions for various models of turbulence
18. Turbulent flow around plate, parameters of turbulent boundary layer
19. Time dependent solution - Fluent, specification of time step
20. Flow around tube, sphere in the transverse direction, vortex shedding
21. Flow around the airfoil in real atmosphere, definition of boundary conditions, evaluation of results
22. Stability principle of ODR solution, physical stability, numerical stability, stability using Laplace transform
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction to fluid flow, applications
2. Hypothesis of the continuum, important physical properties of fluid, properties of atmosphere, dimensionless criteria,
3. Solution of partial differential equation, review of Navier-Stokes equation, vector notation, laminar flow, Couette flow, Poiseulle flow
4. Finite volume method – Fluent,
5. Boundary layer, Prandtl theory, laminar flow around plate, thickness, integral balance:
6. Von Karman equation - theory, separation, drag, lift
7. Introduction to turbulent flow, mean flow equation, turbulent flow around the plate
8. Turbulent models, turbulent flow around the bodies, airfoil
9. Time dependent flow, turbulent flow, wall function, around the cylinder,
10. Turbulent flow around the sphere,
11. Elementary notations of flow stability analysis,
12. Optimalization of drag a lift forces
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction