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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Main Authors: V. I. Kuznetsov, V. V. Makarov, A. Yu. Shander
Format: Article
Language:English
Published: Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education 2021-06-01
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
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institution Kabale University
issn 2588-0373
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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
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AT ayushander physicsandmathematicsmodelofvortextubeworkingprocess