Математичне моделювання втрат тиску в трубопроводах із розробленням програмного забезпечення
Journal Title: Математичне моделювання - Year 2016, Vol 1, Issue 2
Abstract
MATHEMATICAL MODELING OF PRESSURE LOSSES IN PIPELINES WITH SOFTWARE DEVELOPMENT Vynnychuk A.G., Grysh Ya.I. Abstract The authors of the article justified the urgency of developing a software for simulating pressure losses in pipelines. Since the main task in the calculation of pipelines is to determine the total pressure drop in the pipeline working section and calculate the power required to transport natural gas to a certain volume flow. Hydraulic calculation of the pipeline is quite complicated. Performing manually requires too much work and takes a long time, so it is advisable to create software for hydraulic calculation of the pipeline, which will greatly simplify the fulfillment of this task. For building the mathematical model that formed the basis for the developed software, the patterns of pressure loss in pipelines were analyzed. Theoretical modeling of gas pressure losses was investigated in the presence of laminar, transient, and turbulent flow regimes in the pipeline. In this case, known approximations were used for various types of hydraulic resistances. For the development of software, the programming language "JavaScript" is applied, which is based on the object representation of the browser. It is necessary in order to provide the site with more interactivity than the usual static HTML document, that is, the programming language for scripting on web pages. The developed software for modeling the pressure loss in pipelines allows you to take into account the geometric shape of the pipeline itself and the flow parameters in the pipeline. The article gives an example of calculations for the flow of natural gas at low flow rates (up to 5.5 m3/h) in a 16mm diameter pipeline. Such input parameters simulate the home network of natural gas supply to consumers. The program developed calculates parameters such as: flow mode; speed of gas flow in the pipeline; the Reynolds number; coefficient of friction; coefficient of hydraulic resistance; loss of pressure (local and when folding). A perfect confirmation of the adequacy of the application of the developed software. Based on the results obtained, it is obvious that the software describes hydraulic losses in pipelines with sufficient accuracy and can be used to perform intermediate calculations. References [1] Seredyuk M.D., Malyk V.Ya., Bolonnyy V.T. Proektuvannya ta ekspluatatsiya system hazopostachannya naselenykh punktiv [Design and operation of gas supply systems of settlements]. Ivano-Frankivsk: Flare, 2003. – 436 p. [2] Kovalko M.P., Hrudz V.J, Mykhalkiv V.B. Truboprovidnyy transport hazu [Pipeline transportation of gas Kyiv: Arena, 2002. – 598 p. [3] Seredyuk O.Ye, Vynnychuk A.G. Modelyuvannya vplyvu parametriv hazovoyi merezhi na tochnist' perevirochnykh ustanovok dlya pobutovykh lichyl'nykiv hazu [Simulation of the effect of gas network parameters on the accuracy of testing facilities for household gas meters]. Metody ta prylady kontrolyu yakosti, 2009, no. 23, pp. 79–83. [4] Ydelchyk I.E. Spravochnyk po hydravlycheskym soprotyvlenyyam [Reference book on hydraulic resistance]. – Moscow: Engineering, 1992. – 672p.
Authors and Affiliations
А. Г. Винничук, Я. І. Гриш
Keywords
Related Articles
- EP ID EP277248
- DOI -
- Views 54
- Downloads 0
МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ СТУПЕНІ ЗНОСУ ПОВЕРХНЕВОГО ШАРУ ДЕТАЛЕЙ В ЗАЛЕЖНОСТІ ВІД РЕЖИМІВ НАВАНТАЖЕННЯ
MATHEMATICAL MODELING OF STEPS OF THE SURFACE LOAD OF DETAILS IN DEPENDENCE FROM LOAD MODES Chernet O.G., Sukhomlin V.I., Voloshchuk R.G. Abstract Methods of obtaining wear-resistant coatings are considered in this wor...
АНАЛІЗ НЕЙРОМЕРЕЖЕВИХ МОДЕЛЕЙ В ЗАДАЧАХ ОПТИМІЗАЦІЇ ТЕХНОЛОГІЇ ЕНЕРГОКОНДЕНСОВАНИХ СИСТЕМ
ANALYSIS OF THE NEURAL NETWORK MODELS IN THE PROBLEMS OF OPTIMIZING THE TECHNOLOGY OF ENERGY CONDENSED SYSTEMS Korotka L.I. Abstract Optimizing the technology of energycondensed systems is the subject area in this arti...
Математичне моделювання формування сил різання при розрізанні автомобільних пневматичних шин навпіл
MATHEMATICAL MODELING FORMATION OF FORCES OF CUTTING TO CUT IN HALF AUTOMOBILE PNEUMATIC TIRES Sasov O.O., Korobochka O.M., Volosova N.M. Abstract The resulting mathematical model of the formation of cutting forces in...
Аналитическое исследование температурных полей и термических напряжений при нагреве простых тел одновременно конвекцией и излучением. Сообщение 1
ANALYTICAL STUDY OF TEMPERATURE FIELDS AND THERMAL STRESSES WHEN HEATING SIMPLE BODIES SIMULTANEOUSLY BY CONVECTION AND RADIATION. MESSAGE 1. Gorbunov A.D. Ukleina S.V. Abstract Relevance. To date, there is a large numb...
ЗАСТОСУВАННЯ ЕКОНОМІКО-МАТЕМАТИЧНОГО МОДЕЛЮВАННЯ ДЛЯ ВИЗНАЧЕННЯ ЗАЛЕЖНОСТІ ФІНАНСОВИХ РЕЗУЛЬТАТІВ БАНКУ ВІД ЕКОНОМІЧНОГО ЗРОСТАННЯ
APPLICATION OF ECONOMIC-MATHEMATICAL SIMULATION FOR DEFINING FINANCIAL RESULTS OF THE BANK FROM ECONOMIC GROWTH Yudina S.V., Ganzyuk S.M., Borovets I.S. In the article the importance of mathematical modeling for solvin...