Course: Fundaments of Fluid Mechanics

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Course title Fundaments of Fluid Mechanics
Course code NTI/ZMT
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Lecturer(s)
  • Šembera Jan, doc. Ing. Ph.D.
Course content
Lectures: 1. Introduction - revision: basic terms of thermodynamics, differential operators 2. Hydrostatics: equilibrium equation, Pascal's law 3. Barometric formula, Archimedes' law 4. Fluid kinematics: Lagrange and Euler description, mutual transformations, basic terms 5. First Helmholz's Theorem, vortex intensity, Second Helmholz's Theorem 6. Bernoulli equation, initial and boundary conditions, equation of energy 7. Law of conservation of energy, law of conservation of momentum, Theorem on moment of momentum in steady movement 8. Viscous fluid dynamic: stress tensor, Equation of motion, Newton's hypothesis 9. Navier-Stokes equations 10. Similarity of flows Tutorials: 1. Basic quantities, units, relations 2. Hydrostatic pressure 3. Lift, body floating 4. Fluid in acceleration field, dimensional analysis 5. Steady flow of inviscid incompressible fluid without energy dissipation 6. Steady flow of inviscid incompressible fluid with energy dissipation 7. Steady flow of viscous incompressible fluid in pipeline 8. Steady flow of viscous incompressible fluid in pipeline 9. Transient flow of compressible fluid 10. Force effects of flow

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing)
Learning outcomes
The main topic of the course are the basic terminology of thermodynamics, derivation of flow equations for ideal fluid. Stress tensor and derivation of motion equations of viscid fluid, the similarity law in fluid flow. Equation of energy transport in fluid. Dissipation of energy in incompressible fluid, heat convection in fluids. Models of diffusion and thermo-diffusion for fluid mixtures.
Students will acquire the theoretical knowledge of description and expressions of inviscid and viscous fluid mechanics and practical experience with computation of basic properties of simple hydraulic systems.
Prerequisites
Unspecified

Assessment methods and criteria
Combined examination

Requirements for getting a credit are activity at the practicals /seminars and successful passing the tests. Examination is of the written and oral forms.
Recommended literature
  • &. [1] Jiří Maryška, Jan Šembera: učební text Mechanika tekutin [2] Feistauer: Mathematical Methods in Fluid Dynamics, Longman 1992 [3] Brdička, Samek, Sopko: Mechanika kontinua, Praha, Academia 2000 [4] Dvořák, Kozel: Matematické metody v aerodynamice, Praha, ČVUT 1992 [5] Havlík, Profous: Mechanika tekutin, sbírka řešených příkladů, Plzeň, VŠSE 1991 [6] Adamec, Lísal, Várádiová: Mechanika tekutin, sbírka příkladů, Praha, ČVUT 1993 [7] Ježek: Mechanika tekutin, příklady, Praha, ČVUT 1988. &, &.
  • Brdička M.,Samek L., Sopko B. Mechanika kontinua. Academia, 2000. ISBN 80-200-0772-5.
  • Dvořák, R., Kozel, K.:. Matematické metody v aerodynamice. Praha, 1992.
  • Feistauer M.:. Mathematical Methods in Fluid Dynamics. Longman Scientific-Technical. Harlow, 1993.
  • Ježek, J., Varádiová,:. Mechanika tekutin pro 5-leté obory. Praha, 1988.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Mechatronics, Informatics and Interdisciplinary Studies Study plan (Version): Applied Sciences in Engineering (2019) Category: Special and interdisciplinary fields 3 Recommended year of study:3, Recommended semester: Summer