338-0548/01 – Real Fluid Dynamics (RFDyn)

Gurantor departmentDepartment of Hydromechanics and Hydraulic EquipmentCredits5
Subject guarantorprof. RNDr. Milada Kozubková, CSc.Subject version guarantorprof. RNDr. Milada Kozubková, CSc.
Study levelundergraduate or graduate
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesMaster, Follow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
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 Credit and Examination 1+2

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:

ANDERSON J. D. Jr. Fundamentals of Aerodynamics. McGraw-Hill Higher Education. 2001. 912p. ISBN 0-07-237335-0

Recommended literature:

HOUGHTON E.L., CARPENTER, P. W. Aerodynamics for Engineering Students. Fifth Edition. Butterworth-Heinemann an imprint of Elsevier Science. 2003, 614 p., ISBN 0 7506 5111 3 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.

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

Full-time form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  25
        Examination Examination 65  35
Mandatory attendence parzicipation:

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Occurrence in study plans

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
IPSA Paris 2021/2022 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2019/2020 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2018/2019 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2017/2018 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2016/2017 Full-time English Choice-compulsory 301 - Study and International Office stu. block
IPSA Paris 2015/2016 Full-time English Choice-compulsory 301 - Study and International Office stu. block