Litteris et Artibus

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Author: search.filters.author.Matiko, FedirSubject: search.filters.subject.mathematical model

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    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 University
    The 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.
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    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 University
    Mathematical 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 %.