Course: Fluid Mechanics

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Course title Fluid Mechanics
Course code KKE/MT
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory, Compulsory-optional, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Eret Petr, Doc. Ing. Ph.D.
  • Pavlíček Petr, Ing.
  • Škach Radek, Ing.
  • Uruba Václav, Prof. Ing. CSc.
  • Klimko Marek, Ing.
  • Uher Jan, Ing.
  • Hejda Zdeněk, Ing. Ph.D.
  • Hoznedl Michal, Ing. Ph.D.
  • Kollross Petr, Ing.
  • Mrózek Lukáš, Ing.
Course content
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.

Learning activities and teaching methods
Lecture with practical applications, One-to-One tutorial, Seminar classes
  • Preparation for comprehensive test (10-40) - 38 hours per semester
  • Contact hours - 52 hours per semester
  • Preparation for an examination (30-60) - 40 hours per semester
prerequisite
professional knowledge
Successfully finished 2 examinations in mathematics on MEF (Mechanical Egineering Faculty), FAS (Faculty of Applied Sciences), EEF (Electrical Engineering Faculty) or at some other technical university, that show basic knowledge of differentiation, integration, integral transformations and solution of ordinary and partial differential equation.
learning outcomes
After passing the subject with success, the student is able to explain the fundamental phenomena of static and dynamic fluid mechanics and to determine their properties. He knows how to solve simple tasks computationally and experimentally. He understands the mathematical description of complicated flow problems that are the commercial codes core in the field of fluids mechanics, and on the basis of it to work with them qualifidly and to verify the results truthfulness. Familiarity with fluid mechanics enables to transmit the recognized methods into relative branches and so broaden the radius of action of the future graduate.
teaching methods
One-to-One tutorial
Lecture with practical applications
Seminar classes
assessment methods
Combined exam
Recommended literature
  • Linhart, Jiří. Mechanika tekutin I. 2. vyd. Plzeň : Západočeská univerzita v Plzni, 2009. ISBN 978-80-7043-766-7.
  • Noskievič, Jaromír. Mechanika tekutin. 1. vyd. Praha : SNTL, 1987.
  • Pěta, Milan. Mechanika tekutin : sbírka příkladů. Vyd. 1. Praha : Vydavatelství ČVUT, 2005. ISBN 80-01-03145-4.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Mechanical Engineering - Industrial Engineering and Management (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering - Design of Power Machines and Equipment (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Applied Sciences Applied Physics and Physical Engineering (2015) Special and interdisciplinary fields 2 Winter
Faculty of Applied Sciences Applied Physics and Physical Engineering (2017) Special and interdisciplinary fields 2 Winter
Faculty of Applied Sciences Computations and Design (2014) Special and interdisciplinary fields 3 Winter
Faculty of Mechanical Engineering - Materials Engineering and Engineering Metallurgy (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Applied Sciences Computations and Design (2017) Special and interdisciplinary fields 3 Winter
Faculty of Applied Sciences Computations and Design (1) Special and interdisciplinary fields 3 Winter
Faculty of Mechanical Engineering Road Vehicles Diagnostics and Service (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering Manufacturing Processes - Technology of Metal Cutting (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering - Materials Engineering and Engineering Metallurgy (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering Transport Vehicles and Handling Machinery (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering - Design of Power Machines and Equipment (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering - Design of Manufacturing Machines and Equipment (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Applied Sciences Computations and Design (2016) Special and interdisciplinary fields 3 Winter
Faculty of Mechanical Engineering - Industrial Engineering and Management (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering - Design of Manufacturing Machines and Equipment (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering Manufacturing Processes - Technology of Metal Cutting (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Mechanical Engineering Transport Vehicles and Handling Machinery (1) Mechanical engineering and mechanical production 3 Winter
Faculty of Applied Sciences Scientific Computing and Modelling (2011) Mathematics courses 3 Winter