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Course, academic year 2023/2024
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Introduction to Fluid Dynamics and Turbulence - NFPL174
Title: Základy mechaniky tekutin a turbulence
Guaranteed by: Department of Low Temperature Physics (32-KFNT)
Faculty: Faculty of Mathematics and Physics
Actual: from 2020
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. David Schmoranzer, Ph.D.
prof. RNDr. Ladislav Skrbek, DrSc.
Annotation -
Ideal fluid - Euler equation, Kelvin theorem, Bernoulli equation. Viscous fluid - Navier.- Stokes equation, Reynolds number, laminar flow - examples, stability of laminar flow, boundary layer. Turbulence - basic concepts (correlation functions, Taylor hypothesis, energy spectrum), superfluid turbulence. Heat transport in fluids, Rayleigh- Benárd convection. Experimental technique - anemometers, PIV (particle image velocimetry), LDV (Laser Doppler Velocimetry).
Last update: T_KFNT (02.05.2003)
Course completion requirements -

For successful completion of the course, it is required to pass an oral examination.

Last update: Schmoranzer David, doc. RNDr., Ph.D. (11.10.2017)

Landau, L. D., & Lifshits, E. M. (1959). Fluid mechanics, by L.D. Landau and E.M. Lifshitz. London: Pergamon Press.

Pope, S. (2000). Turbulent Flows. Cambridge: Cambridge University Press. doi:10.1017/CBO9780511840531

Last update: Schmoranzer David, doc. RNDr., Ph.D. (13.05.2019)
Requirements to the exam -

The course is completed by passing an oral examination consisting of three questions. Typically, the first question concerns ideal fluids, the second one viscous laminar flows and the third one is focused on turbulence. One of the questions may be replaced by a detailed discussion of the solution of a pre-determined fluid-dynamical problem with a matching topic, which is assigned at least one week before the date of the examination. All questions will be related to the topics discussed during the lectures.

Last update: Schmoranzer David, doc. RNDr., Ph.D. (11.10.2017)
Syllabus -

Ideal fluid - continuity equation, Euler equation, hydrostatics, Kelvin theorem, Bernoulli equation, potencial flow, incompressible fluids, gravity waves on the fluid free surface.

Viscous fluid - Navier-Stokes equation, Reynolds number, laminar flow - examples (pipe flow, flow past sphere and cylinder, Stokes drag formula, flow between two coaxial rotating cylinders, Taylor vortices). Stability of laminar flow - Kelvin-Helmholtz instability criterion. Boundary layer. Surface phenomena. Oscillatory motion, Strouhal number.

Turbulence - basic concepts (Richardson cascade, correlation functions, Taylor frozen hypothesis, energy spectrum, energy containing eddies, dissipation, Kolmogorov length), flow past obstacles, Kárman vortex street, drag crisis. Homogeneous and isotropic turbulence and its decay. Turbulent pipe flow. Superfluid turbulence and its special features.

Heat transport in fluids - heat conductivity in incompressible fluids, Rayleigh - Benárd convection, Rayleigh number, Nusselt number. Heat transport in superfluids.

Experimental technique - wind tunnels, anemometers, PIV (Particle Image Velocimetry), LDV (Laser Doppler Velocimetry), second sound and its attenuation.

Last update: T_KFNT (02.05.2003)
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