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# Mathematical modeling of a helical flowmeter for oil and oil products

UDK: 622.692.4.05:681.121
DOI: 10.24887/0028-2448-2018-6-140-144
Key words: mathematical model, modeling, helical flowmeter
Authors: O.V. Aralov (The Pipeline Transport Institute LLC, RF, Moscow), I.V. Buyanov (The Pipeline Transport Institute LLC, RF, Moscow), A.S. Savanin (The Pipeline Transport Institute LLC, RF, Moscow), N.A. Shimel (The Pipeline Transport Institute LLC, RF, Moscow)

The article is devoted to the methodology of mathematical modeling of helical flowmeter for oil and oil products. The problems and features of the development of helical flowmeter for oil and oil products are considered. One of the solutions is the use of mathematical apparatus proposed by the authors to solve the existing problems. We described the general (main) stages of mathematical modeling of the helical flowmeter for oil and oil products: conceptual set up of the problem, mathematical statement of the problem, the selection and justification of the method for solving the problem, the implementation of the mathematical model as a software product, checking the adequacy, practical use. For each stage of mathematical modeling the article provides the technique of conducted research, the main results are presented. The design of the helical flowmeter is considered, generalized conceptual formulae describing the helical rotor and the helical flowmeter are given. The developed mathematical model of the helical flowmeter and software product are described. The requirements for the system software are given. For practical application of the mathematical model and software we tested its adequacy. The initial results of the practical application of the mathematical model are presented. The results of the modification of the real helical flowmeter are considered. In conclusion of the article, general conclusions are made on the results of mathematical modeling of the helical flowmeter for oil and oil products, further ways of research and improvement of the results are considered.

References

1. Panfilov S.A., Savanin A.S., Analysis of the influence of the reliability and stability of metrological characteristics of measuring instruments on the intertesting interval (In Russ.), Polzunovskiy vestnik, 2013, no. 2, рр. 277–280.

2. Aralov O.V., Buyanov I.V., Savanin A.S., Iordanskiy E.I., Research of methods for oil kinematic viscosity calculation in the oil-trunk pipeline (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2017, V. 7, no. 5, pp. 97–105.

3. Savanin A.S., Sirotkin V.A., The application perspectives of transportable systems for measurement of quantity and quality indicators of oil products (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2014, V. 13, no. 1, pp. 64–66.

4. Aralov O.V., Buyanov I.V., Savanin A.S., Razrabotka sredstv izmereniy raskhoda i plotnosti nefti i nefteproduktov v OOO “NII Transneft’” (Development of measuring instruments for flow and density of oil and petroleum products in «NII Transneft» LLC), Proceedings of XII All-Russian Scientific and Technical Conference “Aktual’nye problemy razvitiya neftegazovogo kompleksa Rossii” (Actual problems of development of the oil and gas complex in Russia), Moscow, 12-14 February 2018, Moscow, 2018.

5. Fedota V.I., Timofeev F.V., Strategiya razvitiya nauki, tekhniki i tekhnologiy truboprovodnogo transporta nefti i nefteproduktov na period do 2020 goda (Strategy of development of science, technique and technology of pipeline transport of oil and oil products for the period up to 2020), Proceedings of International Scientific and Technical Conference “50 let khimmotologii – osnovnye itogi i napravleniya razvitiya” (50 years of chemmotology – main results and directions of development), Moscow: Pero Publ., 2014, pp. 62–70.

6. Vvedenie v matematicheskoe modelirovanie (Introduction to mathematical modeling): edited by Trusov P.V., Moscow: Universitetskaya kniga, Logos Publ., 2007, 440 p.

7. Thompson R.E., Grey. J, Turbine flowmeter performance model, Report AMC-3, 1967.

8. Saboohi Z., Sorkhkhah S., Shakeri H., Developing a model for prediction of helical turbine flowmeter performance using CFD, Flow Measurement and Instrumentation, 2015, V. 42, pp. 47–57.

9. ANSYS CFX User’s Guide. V. 14.5, Ansys Inc, 2012, https://support.ansys.com.

10. Menter F.R., Kuntz M., Langtry R., Ten years of industrial experience with the SST turbulence model, Turbul. Heat Mass Transf. 4, 2003, V. 4, pp. 625–632.

11. Voronich I., Ivchik L., Kon’shin V., Tkachenko V., Gas-dynamic calculation of the first stage of an experimental two-stage compressor using the CFX software package (In Russ.), SAPR i grafika, 2005, no. 4.

The article is devoted to the methodology of mathematical modeling of helical flowmeter for oil and oil products. The problems and features of the development of helical flowmeter for oil and oil products are considered. One of the solutions is the use of mathematical apparatus proposed by the authors to solve the existing problems. We described the general (main) stages of mathematical modeling of the helical flowmeter for oil and oil products: conceptual set up of the problem, mathematical statement of the problem, the selection and justification of the method for solving the problem, the implementation of the mathematical model as a software product, checking the adequacy, practical use. For each stage of mathematical modeling the article provides the technique of conducted research, the main results are presented. The design of the helical flowmeter is considered, generalized conceptual formulae describing the helical rotor and the helical flowmeter are given. The developed mathematical model of the helical flowmeter and software product are described. The requirements for the system software are given. For practical application of the mathematical model and software we tested its adequacy. The initial results of the practical application of the mathematical model are presented. The results of the modification of the real helical flowmeter are considered. In conclusion of the article, general conclusions are made on the results of mathematical modeling of the helical flowmeter for oil and oil products, further ways of research and improvement of the results are considered.

References

1. Panfilov S.A., Savanin A.S., Analysis of the influence of the reliability and stability of metrological characteristics of measuring instruments on the intertesting interval (In Russ.), Polzunovskiy vestnik, 2013, no. 2, рр. 277–280.

2. Aralov O.V., Buyanov I.V., Savanin A.S., Iordanskiy E.I., Research of methods for oil kinematic viscosity calculation in the oil-trunk pipeline (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2017, V. 7, no. 5, pp. 97–105.

3. Savanin A.S., Sirotkin V.A., The application perspectives of transportable systems for measurement of quantity and quality indicators of oil products (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2014, V. 13, no. 1, pp. 64–66.

4. Aralov O.V., Buyanov I.V., Savanin A.S., Razrabotka sredstv izmereniy raskhoda i plotnosti nefti i nefteproduktov v OOO “NII Transneft’” (Development of measuring instruments for flow and density of oil and petroleum products in «NII Transneft» LLC), Proceedings of XII All-Russian Scientific and Technical Conference “Aktual’nye problemy razvitiya neftegazovogo kompleksa Rossii” (Actual problems of development of the oil and gas complex in Russia), Moscow, 12-14 February 2018, Moscow, 2018.

5. Fedota V.I., Timofeev F.V., Strategiya razvitiya nauki, tekhniki i tekhnologiy truboprovodnogo transporta nefti i nefteproduktov na period do 2020 goda (Strategy of development of science, technique and technology of pipeline transport of oil and oil products for the period up to 2020), Proceedings of International Scientific and Technical Conference “50 let khimmotologii – osnovnye itogi i napravleniya razvitiya” (50 years of chemmotology – main results and directions of development), Moscow: Pero Publ., 2014, pp. 62–70.

6. Vvedenie v matematicheskoe modelirovanie (Introduction to mathematical modeling): edited by Trusov P.V., Moscow: Universitetskaya kniga, Logos Publ., 2007, 440 p.

7. Thompson R.E., Grey. J, Turbine flowmeter performance model, Report AMC-3, 1967.

8. Saboohi Z., Sorkhkhah S., Shakeri H., Developing a model for prediction of helical turbine flowmeter performance using CFD, Flow Measurement and Instrumentation, 2015, V. 42, pp. 47–57.

9. ANSYS CFX User’s Guide. V. 14.5, Ansys Inc, 2012, https://support.ansys.com.

10. Menter F.R., Kuntz M., Langtry R., Ten years of industrial experience with the SST turbulence model, Turbul. Heat Mass Transf. 4, 2003, V. 4, pp. 625–632.

11. Voronich I., Ivchik L., Kon’shin V., Tkachenko V., Gas-dynamic calculation of the first stage of an experimental two-stage compressor using the CFX software package (In Russ.), SAPR i grafika, 2005, no. 4.

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