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Water column separation under hydraulic turbine runner during unsteady operating regimes.
Vašek, Lubomír ; Rudolf, Pavel (referee) ; Habán, Vladimír (advisor)
In this diploma thesis called Water column separation under the hydraulic turbine runner during unsteady operating regimes are solved the pressure pulsations of the reverse water hamer. In the thesis is deduced a mathematical relationship of elaboration the numerice model which is based on equations of continuity and equations of forces equilibrium. Numerical model is created in MS Excel uses for computation the numerical method Lax-Wendrof that allows consideration of variable sound speed as function of static pressure and allows variable lenght step in computation domain. Reverse water hammer is in the thesis solved with consideration of rotating flow behind shut-off valve, where we expect forming of vortex rope. This situation can be applied on the closing water turbine which has vertex rope under turbine runner. Specifically for this thesis was carried out the experiment of the reverse water hammer. Constants going into numerical solution are optimalized with using experiment and pressure pulsation are compared between numerical solution and experiment.
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Low pressure water hammer
Schultz, Richard ; Klas, Roman (referee) ; Himr, Daniel (advisor)
The subject of the submitted thesis „Low pressure water hammer“ is handling the problems of dynamic conduct of water in low pressures. In this work are developed problems of the effect of changing pressure on the speed of sound in liquid. The problem is solved in the time domain using the Lax - Wendroff method in the theoretical analysis. At the end the mathematical model solved using Lax - Wendroff method is confront with the experiment.
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Plan curved pedestrian bridge
Lachová, Alžběta ; Jurík,, Michal (referee) ; Koláček, Jan (advisor)
The subject of this master thesis is the elaboration of a study of a curved footbridge leading over the Svratka River. Two variants were created, from which a suspended structure was selected for subsequent modelling and assessment. The footbridge consists of a monolithic bridge deck made of prestressed concrete. The cross section of the bridge deck is designed as an asymmetrical box girder, suspended on one side by a pylon. The pylon is located on the inner side of the bridge deck at the junction of the apex and the centre of the circle and is anchored by hinges to the subgrade.
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Integrals and differential equations in apllied problems - a digest of solved examples.
HOLUB, Miroslav
The main topic of the Thesis is the creation of a collection of selected solved interesting tasks intended for expanding the teaching of mathematics seminars at secondary schools, or as supplementary literature for students of various fields of university. The first part deals with the possibilities of applications of integral calculus in problems from common practice. Specific topics of some tasks can also be used in areas of professional circles. The second part of the Thesis focuses on mathematically solved problems, based on exceptional circumstances from everyday life. The goal of each example is to compile an ODE, determine the initial conditions, solve the equation and confront the task.
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Low pressure water hammer
Schultz, Richard ; Klas, Roman (referee) ; Himr, Daniel (advisor)
The subject of the submitted thesis „Low pressure water hammer“ is handling the problems of dynamic conduct of water in low pressures. In this work are developed problems of the effect of changing pressure on the speed of sound in liquid. The problem is solved in the time domain using the Lax - Wendroff method in the theoretical analysis. At the end the mathematical model solved using Lax - Wendroff method is confront with the experiment.
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Water column separation under hydraulic turbine runner during unsteady operating regimes.
Vašek, Lubomír ; Rudolf, Pavel (referee) ; Habán, Vladimír (advisor)
In this diploma thesis called Water column separation under the hydraulic turbine runner during unsteady operating regimes are solved the pressure pulsations of the reverse water hamer. In the thesis is deduced a mathematical relationship of elaboration the numerice model which is based on equations of continuity and equations of forces equilibrium. Numerical model is created in MS Excel uses for computation the numerical method Lax-Wendrof that allows consideration of variable sound speed as function of static pressure and allows variable lenght step in computation domain. Reverse water hammer is in the thesis solved with consideration of rotating flow behind shut-off valve, where we expect forming of vortex rope. This situation can be applied on the closing water turbine which has vertex rope under turbine runner. Specifically for this thesis was carried out the experiment of the reverse water hammer. Constants going into numerical solution are optimalized with using experiment and pressure pulsation are compared between numerical solution and experiment.
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