Mathematical modeling of the process of compressed air flowing through the pipeline as an element of the pneumatic network

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Authors:

O.V.Zamytskyi, Dr. Sc. (Tech.), Prof., orcid.org/0000-0002-8113-6369, State Higher Educational Institution “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

B.M.Litovko, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0002-9055-4984, State Higher Educational Institution “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

M.Yu.Lіder, orcid.org/0000-0003-3780-9076, State Higher Educational Institution “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

M.I.Shepelenko, orcid.org/0000-0002-5104-7074, State Higher Educational Institution “Kryvyi Rih National University”, Kryvyi Rih, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Improvement of the effectiveness of mining equipment operation due to accuracy increase in calculations of a compressed air parameters at design of pneumatic network.

Methodology. Theoretical and empirical methods of research were used in the paper. Mathematical modeling of thermohydrogasdynamic processes at a compressed air flow through the pipeline is carried out. Methods of mathematical statistics were used.

Findings. Mathematical modeling of a compressed air flow through the pipeline when the air temperature is above ambient temperature, coming with a heat rejection to the ambient air and throttling due to pipe resistance is carried out. In this case, change in air conditions in the flow depends on a ratio of the temperature change caused by heat rejection and pressure because of pipe resistance. Dependences of change in temperature and pressure of the compressed air through the pipeline length are obtained.

Exploratory tests and results of numerical calculations confirmed adequacy of mathematical models of a compressed air flow through pneumatic pipeline.

Originality. New dependences for determination of pressure and temperature of compressed air considering change in the heat-transfer coefficient through pneumatic pipeline are obtained.

Practical value. The use of the received dependences when designing pneumatic networks of mines allows providing generation of compressed air with necessary parameters for uninterrupted pneumatic supply of the mining equipment of mines.

References.

1. Bondarenko, G. A., & Kirik, G. V. (2016). Compressor stations. Sumy: Sumy State University.

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3. Samusya, V., Oksen, Y., & Radiuk, M. (2013). Heat pumps for mine water waste heat recovery. Annual Scientific-Technical Collection – Mining of Mineral Deposits, 153-157.

4. Kyrychenko, Y. O., Samusya, V. I., Kyrychenko, V. Y., & Romanyukov, A. V. (2013). Experimental investigation of aero-hydroelastic instability parameters of the deepwater hydrohoist pipeline. Middle East Journal of Scientific Research, 18(4), 530-534.

5. Compressed Air & Gas Handbook. 7th ed. (2016). Retrieved from http://www.cagi.org/pdfs/cagi_electhb_ch1.pdf.

6. Michael, L., & Stowe, P. E. E. (2017). Compressed Air Basics. American Institute of Chemical Engineers, 40-46.

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8. Krichel, S., & Sawodny, O. (2011). Analysis and optimization of compressed air networks with model-based approaches. Germany: Pnevmatika. Ventil, 334-341.

9. Oksen, Yu., Radyuk, M., & Samusya, V. (2013). Estimation of economic efficiency of heat pump technology of heat recovery of compressor plants at mining enterprises. Collection of scientific works of the National Mining University, 194-200.

10. Tregubov, V., Zamytsky, O., & Litovko, B. (2015). Mathematical model of the process of moist air flow through the pipeline. Kryvyi Rih: Collection of scientific works of the Research Mining Institute of the State University “KNU”, 55, 288-294.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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