Litteris et Artibus
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Item Modeling of heterogeneous catalytic reduction process of aldehydes(Lviv Polytechnic Publishing House, 2016) Skoretska, Ivanna; Beznosyk, Yuriy; National Technical University of Ukraine “Kyiv Polytechnic Institute”The article considers the mathematical model of the reduction reaction of anisyl aldehyde by the Meerwein-Ponndorf-Verley mechanism. The activity of the zeolite catalyst with the assistance of which the reaction took place has been analyzed and calculated the rate constant of reaction.Item Development of mathematical model of controlled plant using the obtained experimental data(Lviv Polytechnic Publishing House, 2016) Fedoryshyn, Roman; Klos, Sviatoslav; Savytskyi, Volodymyr; Lviv Polytechnic National UniversityThe results of the experimental study of the dynamical and static properties of an electric oven as a controlled plant are presented in the paper. Up-to-date microprocessor instruments were applied during the experiments. Mathematical model of the electric oven was developed on the basis of the experimental data. The adequacy of the model was verified.Item Diesel generator sets with pulse-width excitation control(Lviv Polytechnic Publishing House, 2016) Semeniuk, Mykola; Leskiv, Ihor; Lviv Polytechnic National UniversityThe article analyzes the processes of diesel generator sets with pulse-width excitation current control with automatic relay controller obtained by mathematical modeling.Item Mathematical modeling of linear integration based on reverse formulas(Lviv Polytechnic Publishing House, 2016) Kozych, Anna; Lviv Polytechnic National UniversityIn the research work the accuracy of calculation of transient processes based on mathematical models generated using two multi-implicit methods, formulas of backdifferentiation and back-integration. Object of study - line 750 kV "Zachidnoukrainsk - Vinnytsia" for which were formed mathematical models based on analytical solution of equations of the transition process, the method of back-differentiation formulas and back-integration method formulas that have been implemented in the software complex MathCad. Research transients when switched on unloaded line system (source EDS) showed significantly higher accuracy of results obtained using the method of back-integration formulas ago, compared with the method of back-differentiation formulas.Item The peer land exchange in land readjustment models(Видавництво Львівської політехніки, 2017-12-23) Bugaienko, Olena; Kyiv National University of Construction and ArchitectureThe research is aimed at substantiation of land readjustment optimization models based on the equivalence of land plots to be exchanged. European experience of land readjustment has been considered. The formation of the notion of equivalency in the readjustment optimization models has been scrutinized. Factors influencing the land plots equivalency have been singled out. Land reallocation modelling with the formation of demands to the equivalence of the reallocated land plots by qualitative and spatial and technological characteristics has been suggested.Item Analysis of process parameters of wastewater treatment of edible oils production(Видавництво Львівської політехніки, 2017-12-23) Dyachok, Vasyl; Marakhovska, Anastasia; Lviv Polytechnic National UniversityInvestigated the liquid extraction method for possibility to sewage treatment of oils production plants. The mixture of organic solvent (extractant) for selective removal of the main pollutants of wastewater was selected. The resulting equilibrium line and operating line process was obtained. Established transfer steps number. The mathematical model of liquid-extraction wastewater treatment was built. The solution of model allows to predict the kinetics of wastewater extraction for implementing the technology in practice. The equipment to design the flowsheet of liquid extraction method for wastewater treatment of food oils production was matched.Item About problem of absorption of greenhouse gas by chlorophyilsynthesizing microalgae in the presence of sulfur dioxide(Видавництво Львівської політехніки, 2017-12-23) Dyachok, Vasyl; Katysheva, Viktoriia; Lviv Polytechnic National UniversityThe presence of non-competitive reverse inhibition by sulfur dioxide in the process of photosynthesis based on the Lineweaver-Burk theory was theoretically justified and experimentally proved. The mathematical description of the growth of the cells of the microalgae is given and as a result of processing experimental data the growth rates of the algae at certain values of inhibitor concentration was defined. Based on the obtained values the analytical dependence of growth rate of biomass from the substance of inhibitor was redused. The maximum value of concentration of sulphur dioxide which may occur photosynthesis and biomass growth of microalgae was set.Item The automation of aerobic wastewater treatment(Lviv Polytechnic Publishing House, 2016) Safonyk, Andrii; Targoniy, Ivan; National University of Water and Environmental EngineeringBased on the mathematical model of the process of biological treatment, the system of automatic process control engineering aerobic wastewater treatment was developed. It provides the permissible concentration of impurities at the outlet of the filter. The results of computer simulation to calculate the duration of oxygen, accumulation and allocation solid substrate were presented.Item Determining of volume of natural gas losses caused by damages of distribution networks(Lviv Polytechnic Publishing House, 2015) Dzhyhyrei, Viktor; Matiko, Fedir; Klymkovskyi, Dmytro; Lviv Polytechnic National UniversityThe algorithm of calculation of gas volume losses caused by damages of above-grounded pipelines is proposed in this paper. The mathematical model of natural gas movement in the pipeline is developed for the implementation of the algorithm. The model is used to determine the parameters of the gas flow at the leakage point. The equation for calculation gas flowrate through the holes in the pipeline wall is developed on the basis of the formula of Saint-Venant-Wentzel. The equation is valid for subcritical and critical regime of gas flow. The equation for determining discharge coefficient of the holes in the pipeline wall for gas pressure up to 1.2 MPa is proposed.Item Mathematical modeling and experimental study of impulse lines of flowmeters(Lviv Polytechnic Publishing House, 2015) Fedoryshyn, Roman; Matiko, Fedir; Kostyk, Ihor; Stefurak, Khrystyna; Lviv Polytechnic National UniversityMathematical model of an impulse line with a pressure transducer (PT) was built. This model provides the possibility to simulate and analyze the transient processes in an impulse line. Experimental studies of the step response curves of an impulse line with PT were carried out with application of a high-frequency analog-to-digital converter of the pressure signal in the PT chamber. The simulated step response curves were compared to the experimental ones. Maximum relative deviation of the simulated step response curves from the experimental ones is 6.3 %.