# 338-0301/02 – Fluid Mechanics (MeTek)

 Gurantor department Department of Hydromechanics and Hydraulic Equipment Credits 5 Subject guarantor doc. Ing. Sylva Drábková, Ph.D. Subject version guarantor doc. Ing. Sylva Drábková, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 2 Semester winter Study language English Year of introduction 1999/2000 Year of cancellation Intended for the faculties FS Intended for study types Bachelor
Instruction secured by
BLE02 doc. Ing. Tomáš Blejchař, Ph.D.
BOJ01 doc. Ing. Marian Bojko, Ph.D.
DRA10 doc. Ing. Sylva Drábková, Ph.D.
DVO31 Ing. Lukáš Dvořák, Ph.D.
RAU01 Ing. Jana Jablonská, Ph.D.
KOZ30 prof. RNDr. Milada Kozubková, CSc.
VAS024 doc. Ing. Martin Vašina, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Part-time Credit and Examination 14+4

### Subject aims expressed by acquired skills and competences

Students will be introduced to the application of conservation laws and force balance under steady and unsteady fluid flow. They will apply the obtained knowledge of general mechanics while learning about the continuum mechanics principles. They will conduct simple experiments to understand the theory. Having obtained the fundamental knowledge, they will be able to solve practical fluid flow mechanics problems, pressures and pressure forces under steady and unsteady flow in particular, and they will be introduced to more complex engineering problems solutions.

### Teaching methods

Lectures
Tutorials
Experimental work in labs

### Summary

Fluid Mechanics deals with equilibrium forces in the fluid at rest and motion. Applies universally valid theorems of mechanics, i.e. the condition of balance of forces and moments, the momentum of change of momentum, the law of weight and energy conservation. In hydrostatics, attention is focused on calculating the pressure and pressure forces in the fluid at rest. In hydrodynamics, the main topics is a steady and unsteady pipe flow, the discharge of fluid from the vessel through a pipeline or through a hole, a hydraulic pipeline calculation, water pump system solution, uniform flow in the channel, flow over a body and other applications.

### Compulsory literature:

DRABKOVA, S.: Fluid Mechanics_Lectures, available at http://www.338.vsb.cz/en/studies/ HEWAKANDAMBY, B. N.: A First Course in Fluid Mechanics for Engineers, available at http://bookboon.com/en/a-first-course-in-fluid-mechanics-for-engineers-ebook AL-SHEMMERI, T.T.:Engineering Fluid Mechanics, available at http://bookboon.com/en/engineering-fluid-mechanics-ebook AL-SHEMMERI, T.T.:Engineering Fluid Mechanics Solution Manual, available at http://bookboon.com/en/engineering-fluid-mechanics-solution-manual-ebook FOX, R.W., MC DONALD, A.T.: Introduction to Fluid Mechanics, J. Wiley & sons, New York, 1994 http://www.aerodynamics4students.com/

### Recommended literature:

RODI, W., FUEYO, N.: Engineering Turbulence Modelling and Experiments 5. Oxford. Elsevier Science Ltd. Oxford, 2002. MUNSON, B.R., YOUNG, D.F., OKIISHI, T.H.: Fundamentals of Fluid Mechanics. March: Wiley Text Books, 2002. ISBN 047144250X STREETER, V.L.: Fluid Mechanics, Mc Graw-Hill, New York, 1971 WHITE, F.M.: Fluid Mechanics, Mc Graw-Hill, New York, 1986 ASWATHA NARAYANA, P.A., SEETHARAMU, K.N.: Engineering Fluid Mechanics. Alpha Asience International Ltd., Harrow, U.K., 2005

### Way of continuous check of knowledge in the course of semester

Credit: Present form of study: 2 continuous tests, laboratory measurements with subsequent evaluation and processing of the protocol (3 tasks). The maximum number of points for the credit is 35, the minimum required for the credit is 20 points. Combined form of study: An individual program covering 20 examples - 20 points. Control online test (basic formulas and examples)- 15 points. The maximum number of points for the credit is 35, the minimum required number for granting the credit is 20 points. Exam: the same form for both full-time and combined form of study It consists of a written and an oral part. The written part in LMS contains 30 test multiple choice questions and five examples to solve. The maximum number of points is 50, the minimum number of points required for the oral examination is 20 points. The oral part contains one question from the course covered - hydrostatics, hydrodynamics. There are 15 points for a correctly answered question. The student must demonstrate knowledge of both hydrostatics and hydrodynamics.

### E-learning

DRABKOVA, S.: Fluid Mechanics_Lectures, available at http://www.338.vsb.cz/en/studies/

no .

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

The Programme of Lectures 1 Basic concepts of fluid mechanics, physical properties of liquids 2 Pressure and pressure forces, the liquid at rest, Euler's equation of hydrostatics, constant pressure levels, Pascal's law 3 Pressure force acting on flat and curved submerged surfaces, Archimedes law, fluids in moving container 4 Introduction to fluid flow, continuity equation and Bernoulli's equation for ideal fluid flow 5 Application of Bernoulli's equation for the flow of an ideal fluid measurement of pressure and flow in pipes 6 Real fluid flow, Navier-Stokes equation, Bernoulli's equation for an incompressible viscous fluid in a gravity field, Bernoulli's equation for a compressible fluid 7 Steady flows in pipes, laminar and turbulent flow in pipes of circular cross section 8 Hydraulic resistances by friction and local loss, hydraulic calculation of pipelines, characteristics of pipelines 9 Liquid outflow from a small orifice, emptying of containers, the liquid discharge through large rectangular hole inside wall of the container 10 Unsteady flows of incompressible and compressible liquid through a pipe, hydraulic shock 11 Bernoulli equation for the rotating channel, centrifugal pump, pump characteristic curves, pump in the piping system 12 Theorem about change of momentum and its application 13 Force effects of flowing fluid on surfaces and bodies, flow around submerged bodies Program of exercises and seminars + individual student work: 1 Physical properties of liquids, hydrostatic pressure, pressure levels 2 Pressure force on plane and curved surfaces, liquid in moving container 3 Continuity equation, Bernoulli's equation for an ideal liquid 4 Measurement of pressure and velocities in pipelines 5 Control test No. 1 - Hydrostatics 6 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number 7 Hydraulic frictional resistances in laminar and turbulent flow, local resistances 8 Laboratory measurements (friction and local losses, 9 Hydraulic calculations of pipelines 10 Unsteady flows of incompressible and compressible liquid through pipes, hydraulic shock 11 Bernoulli's equation for a rotating channel, a centrifugal pump, a pump and a pipe 12 Control test no. 2 - Hydrodynamics 13 Application of the theorem on change of momentum, flow around bodies List of exam questions: 1 Fluids - basic concepts, physical properties of fluids - definitions and units 2 Liquids at rest, the law of pressure propagation in liquids, Pascal's law and its applications (hydraulic press, energy transfer) 3 Euler's equation of hydrostatics, differential equation of pressure function, surface areas and their practical significance 5 Pressure force on flat surfaces (magnitude and location of centre of pressure force, load patterns) 6 Pressure forces on curved surfaces (method of components and substitute surfaces), buoyancy and floating of bodies, Archimedes' law 7 Basic concepts of fluid dynamics, distribution of fluid flow (according to properties and kinematic aspects) 8 Continuity equation and Euler's equation for one-dimensional flow of an ideal fluid 9 Bernoulli's equation for an ideal fluid, applications 10 Measurement of the local and mean velocity of the liquid in the pipeline 11 Bernoulli's equation for a real liquid, specific energy loss, Reynolds number 12 Steady laminar flow in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances) 13 Turbulent flows in a circular pipe (velocity profile, mean velocity, hydraulic frictional resistances) 14 Local hydraulic resistances, determination of the local loss coefficient by measurement 15 Hydraulic calculations of pipes (Continuity equation, Bernoulli's equation, hydraulic resistances, pipe characteristics) 16 Hydrodynamic pumps, pumping system, pump parameters, calculation of the specific energy of the pump, characteristics of the hydrodynamic pump 17 Unsteady flows of an incompressible liquid in a pipe_ extended Bernoulli's equation 18 Unsteady flows of compressible liquid in pipeline, hydraulic shock 19 Theorem about change of momentum and its application in fluid mechanics 20 Flow around bodies, force effects on surfaces and bodies, their calculation

### Conditions for subject completion

Part-time form (validity from: 2011/2012 Winter semester, validity until: 2019/2020 Summer semester)
Task nameType of taskMax. number of points
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 30  20
Examination Examination 70  21 3
Mandatory attendence participation: compulsory attendance of at least 50%

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Conditions for subject completion and attendance at the exercises within ISP:

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### Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2024/2025 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2023/2024 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2023/2024 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2022/2023 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2022/2023 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2021/2022 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2021/2022 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2020/2021 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2020/2021 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2019/2020 (B0715A270012) Engineering P English Ostrava 2 Compulsory study plan
2019/2020 (B0713A070003) Energetics and Environments P English Ostrava 2 Compulsory study plan
2014/2015 (B2341) Engineering (2302R010) Design of Machines and Equipment (50) Hunting, Sporting, Defense Arms and Ammunition K Czech Uherský Brod 2 Compulsory study plan
2012/2013 (B2341) Engineering (2302R010) Design of Machines and Equipment (50) Hunting, Sporting, Defense Arms and Ammunition K Czech Uherský Brod 2 Compulsory study plan
2011/2012 (B2341) Engineering (2302R010) Design of Machines and Equipment (50) Hunting, Sporting, Defense Arms and Ammunition K Czech Uherský Brod 2 Compulsory study plan
2011/2012 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials K Czech Chomutov 2 Compulsory study plan
2010/2011 (B2341) Engineering K Czech Šumperk 2 Compulsory study plan
2010/2011 (B2341) Engineering K Czech Ostrava 2 Compulsory study plan
2010/2011 (B2341) Engineering K Czech Uherský Brod 2 Compulsory study plan
2010/2011 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials K Czech Chomutov 2 Compulsory study plan
2009/2010 (B2341) Engineering K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2341) Engineering K Czech Šumperk 2 Compulsory study plan
2008/2009 (B2341) Engineering K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2341) Engineering K Czech Šumperk 2 Compulsory study plan
2008/2009 (B2341) Engineering K Czech Třinec 2 Compulsory study plan
2008/2009 (B2341) Engineering K Czech Uherský Brod 2 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Šumperk 2 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Uherský Brod 2 Compulsory study plan
2007/2008 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Třinec 2 Compulsory study plan
2006/2007 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Šumperk 2 Compulsory study plan
2006/2007 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Uherský Brod 2 Compulsory study plan
2006/2007 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Třinec 2 Compulsory study plan
2005/2006 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Šumperk 2 Compulsory study plan
2005/2006 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Uherský Brod 2 Compulsory study plan
2005/2006 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Třinec 2 Compulsory study plan
2004/2005 (B2341) Engineering (2341R999) Bachelor Mechanical Engineering (00) Bachelor Machanical Engineering K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2303R002) Mechanical Engineering Technology (71) Technological Management K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3902R001) Applied Informatics and Control (70) Applied Informatics and Control K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2301R002) Transport Equipment K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3708R028) Transport Technology K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3907R004) Energy Management K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2301R013) Robotics (70) Robotics K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R007) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2301R002) Transport Equipment K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2301R013) Robotics (70) Robotics K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management (70) Technical Diagnostics, Repairs and Maintenance K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R003) Transport Machinery and Material Handling K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R007) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R010) Design of Machines and Equipment (10) Machines for Mining and Treating Commercial Raw Materials K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R010) Design of Machines and Equipment (20) Production Machines and Equipment K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R010) Design of Machines and Equipment (30) Earth Moving and Building Machines K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2303R002) Mechanical Engineering Technology (70) Mechanical Engineering Technology K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2303R002) Mechanical Engineering Technology (71) Technological Management K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (3708R028) Transport Technology (20) Surface Transport K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (3901R003) Applied Mechanics K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (3902R001) Applied Informatics and Control (70) Applied Informatics and Control K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (3904R016) Environmental Engineering (70) Environmental Engineering K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (3907R004) Energy Management K Czech Ostrava 2 Compulsory study plan
2002/2003 (B2341) Engineering (2302R007) Hydraulics and Pneumatics K Czech Ostrava 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - MechEng - Bachelor Studies 2024/2025 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2023/2024 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2022/2023 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2021/2022 Full-time English Choice-compulsory 301 - Study and International Office stu. block
ECTS - MechEng - Bachelor Studies 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block