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Optimization Models of Risk in Energy Systems
Tetour, Daniel ; Cabalka, Matouš (referee) ; Popela, Pavel (advisor)
The diploma thesis deals with mathematical modeling of the resource allocation problem in an energy system with respect to technical parameters of the used resources. The model includes random input variables affecting the amount of demand and constraints related to associated risks. The thesis addresses control of the operation of various types of boilers and also extends the system with a heat storage tank examining its impact on the behavior of the system and achieved results. The optimization model is based on a multi-period two-stage scenario model of stochastic programming and works with simulated data, which combines real data, statistically determined estimates, and the use of logistic regression. The implementation utilizes GAMS software. When comparing the achieved results with the current state, it was found that the heat storage tank has a positive effect on the function of the system as it allows for extended usage of the cheaper unregulated sources by storing surplus heat, and thus helps to reduce the overall costs of the system.
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Analysis of slope prone to sliding
Píchová, Sylvie ; Erbenová, Alexandra (referee) ; Paseka, Antonín (advisor)
The diploma thesis illustrates landslide investigation, geophysical and engineering-geological landslide survey and landslide stability reconnaissance. Static calculations based on FEM were performed in the GEO5 program. A back analysis of the landslide mathematical model was executed, which resulted in the reliability of the static landslide assessment. The complicated stabilization construction of the pile and micropile walls were optimized by mathematical modeling of successive phases of construction. The method of execution of construction work during the landslide rehabilitation was designed as well as the dimensions of reinforcing structures.
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Experimental determination of the hydrodynamic load of the flooded bridge model
Naiser, Dominik ; Hrdlička, Libor (referee) ; Zubík, Pavel (advisor)
The diploma thesis deals with experimental determination of hydrodynamic load on the overflowed bridge deck model. In the first part of the thesis the author describes the analysis of the problem together with the basic physical laws and principles that are used or assumed in the measurement itself. In the second part the author describes the measurements in the laboratory of the Faculty of Civil Engineering and its gradual processing. At the end of the work are described the results of measurement, their comparison with numerical modeling, other authors and their possible use in practice.
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Optimization of the Water Supply Network of Počátky Town
Pavelka, David ; Netušil, Lukáš (referee) ; Kučera, Tomáš (advisor)
This diploma thesis focuses on the optimization of water supply system in the town of Počátky. It describes the process of creating a mathematical model needed for the hydraulic analysis, which was used to assess the water supply system Počátky. This thesis task is to apprise reader, with a basic distribution in the drinking water supply, how to proceed in collecting data on hydraulic analysis requirements and using tools and means used in hydraulic analysis. Conclusions are processed variants for possible optimization of water supply system Počátky.
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Controllability assessment of the Roudnice nad Labem sector weir box at extreme floods
Růžek, Patrik ; Haluza,, Miloslav (referee) ; Šulc, Jan (advisor)
This thesis deals with the determination of the load torque during flood conditions on the hydrostatic sectoral weir in Roudnice nad Labem. Problems are solved due to a glitch in the lowering sector. The aim of this study is to determine the resulting torque, of three selected states, which occurred at the water works. The issue was solved as a plane 2D problem using AutoCAD, in which were read the relevant data. It was also used ANSYS software, which modeled the flow of water over the weir to detect pressures acting on overflow face. All calculations are then counted in Microsoft Excel. Force balance is performed on the one-meter design.
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Mathematics and implementations of physiologically based pharmacokinetic modeling
Rakhimov, Yestay ; Duintjer Tebbens, Erik Jurjen (advisor) ; Klemera, Petr (referee)
Charles University Faculty of Pharmacy in Hradec Kr'alov'e Department of Biophysics and Physical Chemistry Candidate: Yestay Rakhimov Supervisor: doc. Erik Jurjen Duintjer Tebbens, Ph.D. Title of diploma thesis: Mathematics and implementations of physiologically based phar- macokinetic modeling The thesis addresses some basic aspects of pharmacokinetic modeling, which is used to describe pharmacokinetic processes. Understanding these processes is important for example to determine optimal concentrations of drugs dosing. The thesis focuses on mathematical proofs of a number of pharmacokinetic equa- tions, which are often not given in standard books. The derived equations are illustrated with numerical experiments for a particular drug in the software PharmCalcCl and MAT- LAB. 4
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Applications of Mathematics. Special Issue - SNA ´17
Rozložník, Miroslav ; Sysala, Stanislav
This isssue of Applications of Mathematics is devoted to the Seminar on Numerical Analysis 2017 (SNA’17) held in New Aula of the VŠB—Technical University of Ostrava, January 30–February 3, 2017, and organized by the Institute of Geonics of the Czech Academy of Sciences in collaboration with IT4Innovations National Supercomputing Centre. The history of Seminar on Numerical Analysis (SNA) goes back to 2003. In 2005–2015, SNA was organized annually by the Institute of Geonics and Institute of Computer Science of the Czech Academy of Sciences in cooperation with Charles University in Prague, Czech Technical University, and VŠB—Technical University\nof Ostrava. Since 2016, Seminar on Numerical Analysis is organized alternatively on a biannual basis with the EMS School in Applied Mathematics (ESSAM). The scope of the seminar ranges from mathematical modeling and simulation of challenging engineering problems, to methods of numerical mathematics, numerical linear algebra, and high performance computing. An important part of SNA has\nbeen devoted to its Winter School with several longer lectures or tutorials focused on selected topics within the scope of the meeting. This year part of the Winter School was also the course Parallel Linear Algebra organized within the French PRACE Advanced Training Centre Maison de la Simulation. SNA’17 was attended by 77 participants, who presented six invited Winter School lectures, 24 short communications, and several posters.
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Sound Control of the Turbulent Axisymmetric Air Jet Suitable for Application.
Cvetinović, D. ; Jovanovic, R. ; Vejražka, Jiří ; Tihon, Jaroslav ; Nakabe, K. ; Tatsumi, K.
The subject of this paper is the submerged, round, unconfined turbulent axisymmetric jet, which issues from nozzles with different geometries and impinges to the flat heated plate positioned normally to the jet axis. The aim of experimental investigations, mathematical modeling and numerical simulations is to widely investigate properties and the vortex structures of modified and unmodified jet,that are assumed to have great importance in the heat transfer process. It is found that the vortex roll-up can be controlled by adding small amplitude modulation of the nozzle exit velocity using external source of low-amplitude oscillations or self-sustained oscillations generated in the operation of the specially designed whistler nozzles.
Fulltext: content.csg - PDF Plný tet: SKMBT_C22018100509401 - PDF
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Calculation of pressure losses of flue gas ducts using mathematical modeling
Suchý, Václav ; Skála, Zdeněk (referee) ; Pospíšil, Jiří (advisor)
This diploma thesis deals with the calculation of pressure losses in the flue gas ducts. First part of this work describes properties of flue gas and flow dynamics. Part of the theoretical analysis was detailed study of pipeline elements with emphasis on the reasons for the existence of pressure loss in the flow, calculations of the resistance coefficients and possible methods of reducing the losses. In the practical part, a model of the pressure loss calculation of the existing flue gas line installed in the incineration plant was created. At the end of the thesis a proposal for optimization of this route was made with emphasis on the reduction of the overall pressure loss. By optimization the pressure drop of the specified route was reduced from 3581 Pa to 2647 Pa, i.e by 26% and the required power input of the fan was reduced from 225 kW to 166,5 kW.
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Production Process Analysis in Selected Enterprise
Sychrová, Jana ; Zatloukal, Petr (referee) ; Chvátalová, Zuzana (advisor)
Thesis „Production Process Analysis in Selected Enterprise” is focused on specific production processes especially their description, possible changes and subsequent evaluation of impact of changes. It includes theoretical bases for production processes, their improvements and investments to production processes. Moreover there are included methods of investment business evaluation and mathematical modeling. Selected company and specific selected process that theoretical methods are applied upon in Maple is in practical portion.
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