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Analogies in fluid dynamics: vortex as a black hole
Staňo, Šimon ; Štigler, Jaroslav (referee) ; Illík, Jakub (advisor)
This bachelor thesis discusses the various analogous connections of fluid dynamics with the fields of electricity, electromagnetism, quantum mechanics and gravity. Par- ticular attention has been focused on a certain similarity between rotating black holes and the draining bathtub vortex. At first sight different phenomena that can be ex- plored by simulating known phenomena. The behaviour around real black holes can, with some simplification, be studied within the hydraulic laboratory. The pioneer of this idea is W. G. Unruh, whose work was followed up and continued with research by Silke Weinfurtner. Her research served as the inspiration for the exploration of this field in this bachelor thesis. It is possible to visualize the event horizon of a black hole or the boundaries of the ergosphere, it is also possible to observe more complex phenomena such as superradiance, backreaction or ringdown. The analogy is not completely precise, but it allows a very complex system to be studied with a simple experiment and can lead to a better understanding of these phenomena. A simple experimental setup was created in the laboratory of Victor Kaplan’s Department of Fluid Engineering.
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Coupled model of solenoid
Hejl, Karel ; Huzlík, Rostislav (referee) ; Vlach, Radek (advisor)
This work deals with the coupled model of an electromagnet and the verification of its results on a real electromagnet. The first chapter of this thesis is an introduction to the issues addressed in this work. The second chapter is devoted to physical analogies between domains and the description of an electromagnet. Also described are mathematical equations for electromagnet from electric, magnetic, mechanical and thermal viewing, as well as descriptions of modelling approaches using Matlab, Simulink and Simscape. The third chapter describes the design of an electromagnet to verify the coupled model. Another section is devoted to compiling equations for this proposed electromagnet and making of models. The penultimate part is dedicated to electromagnet design, measurement and data processing. The last section is devoted to comparing data with simulation and appreciation.
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Analogies in fluid dynamics: vortex as a black hole
Staňo, Šimon ; Štigler, Jaroslav (referee) ; Illík, Jakub (advisor)
This bachelor thesis discusses the various analogous connections of fluid dynamics with the fields of electricity, electromagnetism, quantum mechanics and gravity. Par- ticular attention has been focused on a certain similarity between rotating black holes and the draining bathtub vortex. At first sight different phenomena that can be ex- plored by simulating known phenomena. The behaviour around real black holes can, with some simplification, be studied within the hydraulic laboratory. The pioneer of this idea is W. G. Unruh, whose work was followed up and continued with research by Silke Weinfurtner. Her research served as the inspiration for the exploration of this field in this bachelor thesis. It is possible to visualize the event horizon of a black hole or the boundaries of the ergosphere, it is also possible to observe more complex phenomena such as superradiance, backreaction or ringdown. The analogy is not completely precise, but it allows a very complex system to be studied with a simple experiment and can lead to a better understanding of these phenomena. A simple experimental setup was created in the laboratory of Victor Kaplan’s Department of Fluid Engineering.
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