Lecturer(s)
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Šembera Jan, doc. Ing. Ph.D.
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Course content
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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
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
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Learning outcomes
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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.
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Prerequisites
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Unspecified
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Assessment methods and criteria
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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.
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Recommended literature
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&. [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. &, &.
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Brdička M.,Samek L., Sopko B. Mechanika kontinua. Academia, 2000. ISBN 80-200-0772-5.
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Dvořák, R., Kozel, K.:. Matematické metody v aerodynamice. Praha, 1992.
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Feistauer M.:. Mathematical Methods in Fluid Dynamics. Longman Scientific-Technical. Harlow, 1993.
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Ježek, J., Varádiová,:. Mechanika tekutin pro 5-leté obory. Praha, 1988.
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