Physics and mathematics model of vortex tube working process
Based on the physical model of the Ranque effect, proposed earlier, a simplified mathematical model of the working process of a vortex tube is compiled taking into account the exchange of work and heat during the interaction of peripheral and axial gas flows. The effect of viscosity and angular v...
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Language: | English |
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Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education
2021-06-01
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Series: | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
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Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%D0%A2.%205,%20%E2%84%96%202%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/78-87%20%D0%9A%D1%83%D0%B7%D0%BD%D0%B5%D1%86%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D0%BA%D0%B0%D1%80%D0%BE%D0%B2%20%D0%92.%20%D0%92.,%20%D0%A8%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%20%D0%90.%20%D0%AE..pdf |
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author | V. I. Kuznetsov V. V. Makarov A. Yu. Shander |
author_facet | V. I. Kuznetsov V. V. Makarov A. Yu. Shander |
author_sort | V. I. Kuznetsov |
collection | DOAJ |
description | Based on the physical model of the Ranque effect, proposed earlier, a simplified mathematical model of
the working process of a vortex tube is compiled taking into account the exchange of work and heat
during the interaction of peripheral and axial gas flows.
The effect of viscosity and angular velocity gradient on the transfer of kinetic energy from the axis
to the periphery is shown. The difference in thermodynamic temperatures when heat is supplied from
the periphery to the axis is taken into account, which leads to a decrease in the cooling efficiency
of the axial gas flow. Energy exchange is based on the assumption that the peripheral gas layers are
compressed by the axial flow. The axial flow work is determined by the pressure difference between
the valve and the outlet of the diaphragm |
format | Article |
id | doaj-art-a90a0a6870e3402db14e7ce0b464797a |
institution | Kabale University |
issn | 2588-0373 2587-764X |
language | English |
publishDate | 2021-06-01 |
publisher | Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education |
record_format | Article |
series | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
spelling | doaj-art-a90a0a6870e3402db14e7ce0b464797a2025-02-02T02:03:20ZengOmsk State Technical University, Federal State Autonomous Educational Institution of Higher EducationОмский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"2588-03732587-764X2021-06-0152788710.25206/2588-0373-2021-5-2-78-87Physics and mathematics model of vortex tube working processV. I. Kuznetsov0V. V. Makarov1A. Yu. Shander2Omsk State Technical UniversityOmsk State Technical UniversityOmsk State Technical UniversityBased on the physical model of the Ranque effect, proposed earlier, a simplified mathematical model of the working process of a vortex tube is compiled taking into account the exchange of work and heat during the interaction of peripheral and axial gas flows. The effect of viscosity and angular velocity gradient on the transfer of kinetic energy from the axis to the periphery is shown. The difference in thermodynamic temperatures when heat is supplied from the periphery to the axis is taken into account, which leads to a decrease in the cooling efficiency of the axial gas flow. Energy exchange is based on the assumption that the peripheral gas layers are compressed by the axial flow. The axial flow work is determined by the pressure difference between the valve and the outlet of the diaphragmhttps://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%D0%A2.%205,%20%E2%84%96%202%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/78-87%20%D0%9A%D1%83%D0%B7%D0%BD%D0%B5%D1%86%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D0%BA%D0%B0%D1%80%D0%BE%D0%B2%20%D0%92.%20%D0%92.,%20%D0%A8%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%20%D0%90.%20%D0%AE..pdfvortex tubecompression energyexpansion energywork exchangeheat exchange |
spellingShingle | V. I. Kuznetsov V. V. Makarov A. Yu. Shander Physics and mathematics model of vortex tube working process Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" vortex tube compression energy expansion energy work exchange heat exchange |
title | Physics and mathematics model of vortex tube working process |
title_full | Physics and mathematics model of vortex tube working process |
title_fullStr | Physics and mathematics model of vortex tube working process |
title_full_unstemmed | Physics and mathematics model of vortex tube working process |
title_short | Physics and mathematics model of vortex tube working process |
title_sort | physics and mathematics model of vortex tube working process |
topic | vortex tube compression energy expansion energy work exchange heat exchange |
url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2021/%D0%A2.%205,%20%E2%84%96%202%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/78-87%20%D0%9A%D1%83%D0%B7%D0%BD%D0%B5%D1%86%D0%BE%D0%B2%20%D0%92.%20%D0%98.,%20%D0%9C%D0%B0%D0%BA%D0%B0%D1%80%D0%BE%D0%B2%20%D0%92.%20%D0%92.,%20%D0%A8%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%20%D0%90.%20%D0%AE..pdf |
work_keys_str_mv | AT vikuznetsov physicsandmathematicsmodelofvortextubeworkingprocess AT vvmakarov physicsandmathematicsmodelofvortextubeworkingprocess AT ayushander physicsandmathematicsmodelofvortextubeworkingprocess |