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Course info
KKE / MT
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Course description
Department/Unit / Abbreviation
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KKE
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MT
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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
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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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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[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
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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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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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74 / -
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3 / -
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19 / -
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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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Winter semester
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Semester taught
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Winter 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
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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 |
Yes
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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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KKE/MT1
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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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N/A
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Courses depending on this Course
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KMA/MIM, UMS/TMT
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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The course is intended to give students knowledge how to solve simple problems of Fluid Mechanics both by analytical calculations and experimental procedures, and also describe problems of laminar fluid flows and basic characteristics of turbulent flow.
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Requirements on student
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Credit: Two credit tests written in half (statics) and at the end (dynamics) of the semester.
In the case the student is present at seminars and lectures as well more than 84%, he does not write the tests.
Examination: Theoretical and practical knowledge is verified in written and oral form. The written part contains 3 numerical problems and 2 theoretical questions, then followes a short special chat.
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Content
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Topics of lectures by weeks:
1st week: Introduction, basic properties of fluids: compressibility, expansibility, extensivity, sound velocity, capillarity. Statics of fluids ? fluid pressure, Euler´s static equation, pressure equation and pressure level equation. Pascal´s law.
2nd week: Incompressible and compressible fluid in gravitational field, relative balance of liquids in containers at an outside inertial acceleration.
3rd week: Liquid force acting on plain and curved surface, determination of hydrostatic centre, force acting on floating body.
4th week: Stability of floating body. Fluid dynamics introduction, classification of Newton flows. Euler´s and Lagrange´s description of flows.
5th week: Trajectories and streamlines. Movement- and continuity equation valid for streamline tube, extension for 3-D flows. Circulation and vorticity. Potential- and stream function of simple flows. Calculation of pressure from potential function.
6th week: Pressure signal transmission in a tube respecting friction. Potential flown around a cylinder without and with circulation. Transverse force on overflown bodies.
7th week: Conformal transformation of overflown cylinder on technical profiles. Viscous streams, molecular and molar shear stress. Laminar, transitional and turbulent flow in a channel, dependence on Reynolds number.
8th week: Normal and shear stress in fluid, their generalization into tensor of tension. Navier-Stokes movement equation of 3-D flow - mathematical and physical properties.
9th week: Similarity theory in fluid mechanics, conditions of similarity. Derivation of similarity criterions from basic partial equations of flow. Production of criterion equations.
10th week: Simplification of Navier-Stokes equation to Bernoulli equation of various types valid for viscous and unviscous, uncompressible and compressible flow. Solution of some technical problems.
11th week: Total, static and dynamic pressure, pneumatic probes for their measurement. Outflow of liquid from a vessel to ambience through a hole: small, big, small with a sleeve - generation of cavitation, submerged hole outflow, time of outflow and equalization of free levels in connected vessels.
12th week: Linear momentum equation and its technical applications: forces acting on moving blades, output of radial and axial turbine, function of centrifugal pump or compressor.
13th week: Laminar and turbulent velocity profiles in tubes. Local and friction pressure losses, hydraulicly smooth and rough walls, Prandtl´s function of roughness.
Topics of seminars by weeks:
1st week: Pressures and forces in liquids, compressibility, capillarity.
2nd week: Expansibility, shear stress, liquid manometers and barometers.
3rd week: Incompressible and compressible liquid in gravitational field.
4th week: Relative balance of liquids in vessels under action of inertial accelerations.
5th week: Liquid force acting on a flat surface. Determination od hydrostatic centre.
6th week: Liquid force acting on curved surface, calculation of the hydrostatic centre position. Stability of floating body.
7th week: Computation of streamlines shapes, of rotation and flow continuity. Some mathematical modifications of items in partial differential equations.
8th week: Combination of simple potential flows.
9th week: Solution of simple viscous flows by using of Navier-Stokes equations or general Bernoulli equation.
10th week: Further examples of technical problems solved by different Bernoulli equation types.
11th week: Outflows and calculations of vessels emptying.
12th week: Linear momentum equation and its technical applications.
13th week: Laminar velocity profiles. Hydraulic losses.
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Activities
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Fields of study
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Guarantors and lecturers
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Guarantors:
Prof. Ing. Václav Uruba, CSc. (100%),
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Lecturer:
Doc. RNDr. Daniel Duda, Ph.D. (100%),
Doc. Ing. Petr Eret, Ph.D. (20%),
Prof. Ing. Václav Uruba, CSc. (80%),
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Tutorial lecturer:
Doc. RNDr. Daniel Duda, Ph.D. (100%),
Ing. Lukáš Hurda, Ph.D. (100%),
Ing. Marek Klimko, Ph.D. (50%),
Ing. Petr Kollross, Ph.D. (100%),
Ing. Petr Pavlíček (50%),
Ing. David Tupý (100%),
Prof. Ing. Václav Uruba, CSc. (100%),
Vitalii Yanovych, doktor technických věd (100%),
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Literature
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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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Preparation for comprehensive test (10-40)
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38
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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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52
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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: |
využívat základní znalosti z matematiky, zejména z oblasti diferenciálního počtu |
využívat teoretické znalosti z oboru mechanika tekutin, termomechanika, mechanika tuhých těles a pružnost a pevnost na konkrétní praktické řešení |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
aplikovat samostatně získané teoretické znalosti na konkrétní praktické řešení |
provádět jednoduché fyzikální experimenty |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
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 |
Skills - skills resulting from the course: |
řešit jednoduché praktické příklady zejména z oblasti statiky a jednorozměrného proudění |
zvolit správný zjednodušený matematický model pro daný fyzikální problém |
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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 |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
One-to-One tutorial |
Interactive lecture |
Seminar classes |
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