ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ

The development of new areas of research in the field of theoretical thermophysics requires reliable analytical solutions that could take into account the main aspects of physical parameters in the studied objects. One such analytical technique is symmetry groups. On the basis of symmetry groups the...

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Date:2021
Main Authors: Avramenko, A.A., Tyrinov, A.O., Dmitrenko, N.P., Kovetska, Yu.Yu.
Format: Article
Language:Ukrainian
Published: Institute of Engineering Thermophysics of NAS of Ukraine 2021
Online Access:https://ihe.nas.gov.ua/index.php/journal/article/view/450
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Journal Title:Thermophysics and Thermal Power Engineering

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Thermophysics and Thermal Power Engineering
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spelling oai:ojs2.ihenasgovua.s43.yourdomain.com.ua:article-4502021-12-08T08:17:42Z HEAT TRANSFER IN GRADIENT LAMINAR FLOWS ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ Avramenko, A.A. Tyrinov, A.O. Dmitrenko, N.P. Kovetska, Yu.Yu. The development of new areas of research in the field of theoretical thermophysics requires reliable analytical solutions that could take into account the main aspects of physical parameters in the studied objects. One such analytical technique is symmetry groups. On the basis of symmetry groups the problem of heat transfer in gradient laminar flows is solved in the paper. For the first time, the symmetries of the energy equation for the boundary layer at an arbitrary changing velocity at marching direction are obtained. Examples of the use of group analysis methods for the study of heat transfer in the boundary layer of an incompressible fluid are demonstrated. The problems of heat transfer in the boundary layer on a heat-conducting wall with a constant temperature and on a heat-insulated wall are considered. Analytical relations for temperature and heat transfer coefficients distribution are obtained. Приведено результати  використання теорії груп симетрії диференціальних рівнянь для розв’язання задачі теплообміну в пограничному шарі ламінарних нестисних потоків. Institute of Engineering Thermophysics of NAS of Ukraine 2021-10-08 Article Article application/pdf https://ihe.nas.gov.ua/index.php/journal/article/view/450 10.31472/ttpe.3.2021.4 Thermophysics and Thermal Power Engineering; Vol 43 No 3 (2021): Thermophysics and Thermal Power Engineering; 30-35 Теплофизика и Теплоэнергетика; Vol 43 No 3 (2021): Thermophysics and Thermal Power Engineering; 30-35 Теплофізика та Теплоенергетика; Vol 43 No 3 (2021): Thermophysics and Thermal Power Engineering; 30-35 2663-7235 uk https://ihe.nas.gov.ua/index.php/journal/article/view/450/379 https://creativecommons.org/licenses/by/4.0
institution Thermophysics and Thermal Power Engineering
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datestamp_date 2021-12-08T08:17:42Z
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language Ukrainian
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author Avramenko, A.A.
Tyrinov, A.O.
Dmitrenko, N.P.
Kovetska, Yu.Yu.
spellingShingle Avramenko, A.A.
Tyrinov, A.O.
Dmitrenko, N.P.
Kovetska, Yu.Yu.
ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
author_facet Avramenko, A.A.
Tyrinov, A.O.
Dmitrenko, N.P.
Kovetska, Yu.Yu.
author_sort Avramenko, A.A.
title ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
title_short ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
title_full ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
title_fullStr ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
title_full_unstemmed ТЕПЛООБМІН В ГРАДІЄНТНИХ ЛАМІНАРНИХ ТЕЧІЯХ
title_sort теплообмін в градієнтних ламінарних течіях
title_alt HEAT TRANSFER IN GRADIENT LAMINAR FLOWS
description The development of new areas of research in the field of theoretical thermophysics requires reliable analytical solutions that could take into account the main aspects of physical parameters in the studied objects. One such analytical technique is symmetry groups. On the basis of symmetry groups the problem of heat transfer in gradient laminar flows is solved in the paper. For the first time, the symmetries of the energy equation for the boundary layer at an arbitrary changing velocity at marching direction are obtained. Examples of the use of group analysis methods for the study of heat transfer in the boundary layer of an incompressible fluid are demonstrated. The problems of heat transfer in the boundary layer on a heat-conducting wall with a constant temperature and on a heat-insulated wall are considered. Analytical relations for temperature and heat transfer coefficients distribution are obtained.
publisher Institute of Engineering Thermophysics of NAS of Ukraine
publishDate 2021
url https://ihe.nas.gov.ua/index.php/journal/article/view/450
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