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Course info
KKE / MT2
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Course description
Department/Unit / Abbreviation
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KKE
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MT2
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Fluid Mechanics 2
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
5
Cred.
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Type of completion
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Oral
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Type of completion
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Oral
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Time requirements
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Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Included in study average
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YES
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Language of instruction
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Czech, English
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Occ/max
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Automatic acceptance of credit before examination
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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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14 / -
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0 / -
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9 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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10
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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KKE/MTK or KKE/MT1
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The objective of the course is to acquaint the students with the state of art in the field of computational fluid mechanics. This course is a follow-up to the earlier basic one. The students will be mainly informed about three topics: compressible flows, velocity boundary layers and turbulent flows. The properties of these flows and differential equations describing them together with turbulence models and their computation are in the centre of attention. The lectures are accompanied by seminars conducted on personal computers. The students will learn to work with one of the most advanced computer flow dynamics systems - FLUENT-ANSYS, with its pre- and post-processor.
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Requirements on student
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Credit: Numerical computation of assigned task with flow or heat transfer topic and presentation of the results in a short report.
Examination: Written and oral verification of knowledge dealing with theory and the flow solution methods in the range of delivered lectures.
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Content
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Topics of lectures by weeks:
1st week: Introduction. Balancing equation and flow equations of conservation for mass and momentum following from it.
2nd week: Resumption in flow equation derivation: energy equation and its special forms as Fourier-Kirchhoff´s one and the 1st law of thermodynamics, dissipation. Properties and classification of partial differential equations.
3rd week: Compressible, inviscid, isentropic, steady flow: basic relations, Hugoniot´s theorem, sound velocity as a function of flow velocity, critical, total and maximum state, isentropic equations and parameters of critical state, properties of expansion in a nozzle at various back pressures.
4th week: Compressible flow. Critical flow rate at adiabatic conditions with energy losses. Normal and oblique impact shock. Parameters behind these shock waves.
5th week: Compressible flow. Flow with losses in an adiabatic tube, in labyrinth box. Expansion shock waves of Prandtl-Meyer´s type.
6th week: Vortex flow, rotation operator (curl) applied on movement equation, properties of circulation in inviscid flow, velocity induced by vortex filament. Introduction into velocity boundary layer theory.
7th week: Boundary layer. Subsidiary thicknesses of boundary layer. Separation of boundary layer and wake of bluff bodies. Integral equation of boundary layer, its derivation and analysis.
8th week: Boundary layer. Pohlhausen´s method of velocity profile determination. Laminar and turbulent boundary layer on a plate and slender airfoils.
9th week: Boundary layer equation simplified by Prandtl. Elaborating of flow separation, generation of separating bubbles. Introduction into turbulent flow. Statistic characteristics of turbulence, velocity fluctuations covariances and power spectral densities. Measurement of fluctuations by hot wire anemometer.
10th week: Turbulent flow. Time averaging of basic differential equations, Van Driest´s and Reynolds´ equations. Turbulent shear stress, turbulent viscosity, turbulent heat flux, necessity of turbulence models introduction. Theory of mixing length, logarithmic law of the wall, universal velocity distribution.
11th week: Turbulent flow. Exact turbulent transport equations and principles of their modelling. Some turbulence models: Reynolds Stress Model (RSM), K-eps, K-omega, Renormalization of Groups RNG K-eps, LES, DES and their properties.
12th week: Flow around airfoils. Lift, drag and torsion coefficients. The tools for increasing the maximal lift: wing flaps and slats, slots, suction of boundary layer, blowing into layer. The wing theory.
13th week: Static and dynamic forces acting on an airfoil. Stability and critical velocity of flight: the divergence of airfoil in bending, flutter in bending and torsion-bending flutter.
Topics of computational seminars:
1st week: Introduction in computational dynamics (CFD), computational systems, CFD analyses scheduling.
2nd week: Activation of FLUENT and GAMBIT, possibilities of pre- and postprocessing, user interface, illustration of examples.
3rd week: Discretization of computational domain, structural and unstructural computational mesh, GAMBIT, solution of classic tasks.
4th week: Types of boundary conditions, physical properties, introduction in using of FLUENT.
5th week: Inviscid, laminar and turbulent flow, divided solver, flow in channel bending.
6th week: Controlling parametres of computation, heat transfer, periodic flow.
7th week: Results processing, visual representation, alphanumeric reports.
8th week: Turbulence modelling, simulation of boundary layers, flow in ejector.
9th week: Coupled solvers, compressible flow in Laval nozzle.
10th week: Adaptation of computational mesh. Flow in turbine blade cascade, outside flow.
11th week: Cases of unsteady flows, flow around bluff body.
12th week: 3-D flows, rotating coordinate system, stream in a fan stage.
13th week: 3-D flows in industrial and research applications, recapitulation.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Kozubková, Marie; Drábková, Sylva. Numerické modelování proudění. VŠB-TU Ostrava, 2003.
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Recommended:
Fletcher, Clive A. J. Computational techniques for fluid dynamics 1 : fundamental and general techniques. 2nd ed. Berlin : Springer, 1991. ISBN 3-540-53058-4.
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Recommended:
Chen, Chin-Jen; Jaw, Shenq-Yuh. Fundamentals of turbulence modeling. [1st ed.]. Bristol : Taylor & Francis, 1997. ISBN 1-56032-405-8.
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Recommended:
Manuály Gambit, Fluent, Rampant.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Individual project (40)
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25
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Preparation for an examination (30-60)
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40
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Contact hours
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65
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Total
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130
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
vysvětlit základní jevy statiky a dynamiky mechaniky tekutin a určit jejich vlastnosti |
znát a popsat jednoduché úlohy výpočtově a experimentálně |
rozumět matematickému popisu principů složitějších problémů proudění, které jsou jádrem komerčních programů v oboru mechanika tekutin a na základě toho fundovaně pracovat a ověřovat pravdivost výsledků |
přenášet metody mechaniky tekutin do příbuzných oborů |
vypočítat základní statistické parametry dat |
vysvětlit základní jevy statiky a dynamiky mechaniky tekutin |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
používat kancelářský software |
řešit jednoduché praktické příklady z mechaniky tekutin |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
porozumět matematickému aparátu, který popisuje laminární nebo turbulentní proudění |
modelovat geometrii řešených prostorových úloh, pokrýt ji výpočtovou sítí, řídit numerický výpočet |
zpracovat výsledky výpočtu pomocí postprocesorového programu |
řešit náročné technické úlohy: nestacionární, stlačitelná proudění, s pohyblivou geometrií |
Skills - skills resulting from the course: |
orientovat se v mechanice tekutin, zejména v dynamice tekutin, problematice turbulence a smykových oblastí |
umět správně zvolit matematický model pro danou fyzikální úlohu |
formulovat správně zadání pro matematickou simulaci |
ovládat základní software pro řešení úloh z dynamiky tekutin |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Individual presentation at a seminar |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Individual study |
Interactive lecture |
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