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Termodynamické modelování Sedláčkovy turbíny
Thesis title in Czech: Termodynamické modelování Sedláčkovy turbíny
Thesis title in English: Thermodynamic modeling of rolling fluid turbine
Key words: Nerovnovážná termodynamika, Sedláčkova turbína, stabilita, vířivost, simulace
English key words: Non-equilibrium thermodynamics, Rolling fluid turbine, stability, vorticity, simulation
Academic year of topic announcement: 2018/2019
Type of assignment: diploma thesis
Thesis language:
Department: Mathematical Institute of Charles University (32-MUUK)
Supervisor: RNDr. Michal Pavelka, Ph.D.
Author: hidden - assigned by the advisor
Date of registration: 12.12.2018
Date of assignment: 14.02.2019
Advisors: prof. Ing. František Maršík, DrSc.
The goal of the thesis is to develop a non-equilibrium-thermodynamic model of a rolling turbine according to these steps:
1) Balance equations of fluid mechanics and the evolution equation of vorticity adapted to the geometry of a particular turbine design [1, 2].
2) Linear stability analysis of the vorticity equation shows creation of vortices, and circulation is generated.
3) Numerical simulation of an simplified geometrical configuration and estimation of power generation.
4) If possible, the obtained results should be compared with experimental data.

[1] Landau L.D., Lifschitz E.M.: Fluid mechanics, Pergamon Press, Oxford, 1987
[2] Maršík, F., Tomek, R. and Vondruška, M., Performance and efficiency of rolling turbines and its application. Submitted (2017)
Preliminary scope of work in English
Rolling turbines are fluid motors, which are capable of utilizing very small sources with small elevation of water levels and slow horizontal flows (from 0.8 m/s). They operate on the basis of hydrodynamic stability of vortices. Solid body vortex transforms due to viscosity into a more stable potential vortex. Circulation generated in the core of the vortex is then transmitted to the rolling rotating rotor, which is axially symmetric, e.g. a sphere or truncated cone. The theoretical efficiency of such a device reaches 66% while approximately 50% efficiency is observed in practice.
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