Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface

The analytical methods used for researching heat exchange processes in ribbed surfaces are based on assumption, that heat exchange coefficient is constant. But in real conditions this coefficient is variable, because of changes in thermal field along the rib. The authors have proposed the mathematic...

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Main Authors: Yuri Vidin, Roman Kazakov
Format: Article
Language:Russian
Published: Tomsk Polytechnic University 2019-05-01
Series:Известия Томского политехнического университета: Инжиниринг георесурсов
Subjects:
Online Access:http://izvestiya-tpu.ru/archive/article/view/1345
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author Yuri Vidin
Roman Kazakov
author_facet Yuri Vidin
Roman Kazakov
author_sort Yuri Vidin
collection DOAJ
description The analytical methods used for researching heat exchange processes in ribbed surfaces are based on assumption, that heat exchange coefficient is constant. But in real conditions this coefficient is variable, because of changes in thermal field along the rib. The authors have proposed the mathematical method for calculating heat distribution along the rib with constant cross section for case, when heat transfer coefficient on rib surface depends on longitudinal coordinate. The solution obtained is based on special Airy function. When using the recommended theoretical method the authors eliminated the assumption, that heat transfer coefficient is constant on whole ribbed surface.
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spelling doaj.art-3640dcf0fd96466caa370808d3b433d32023-06-03T21:08:43ZrusTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Инжиниринг георесурсов2500-10192413-18302019-05-013244Calculation of heat distribution in rod with variable heat irradiation coefficient on its surfaceYuri VidinRoman KazakovThe analytical methods used for researching heat exchange processes in ribbed surfaces are based on assumption, that heat exchange coefficient is constant. But in real conditions this coefficient is variable, because of changes in thermal field along the rib. The authors have proposed the mathematical method for calculating heat distribution along the rib with constant cross section for case, when heat transfer coefficient on rib surface depends on longitudinal coordinate. The solution obtained is based on special Airy function. When using the recommended theoretical method the authors eliminated the assumption, that heat transfer coefficient is constant on whole ribbed surface.http://izvestiya-tpu.ru/archive/article/view/1345ribheat convection coefficientAiry functiontemperature fieldanalytical approach
spellingShingle Yuri Vidin
Roman Kazakov
Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
Известия Томского политехнического университета: Инжиниринг георесурсов
rib
heat convection coefficient
Airy function
temperature field
analytical approach
title Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
title_full Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
title_fullStr Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
title_full_unstemmed Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
title_short Calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
title_sort calculation of heat distribution in rod with variable heat irradiation coefficient on its surface
topic rib
heat convection coefficient
Airy function
temperature field
analytical approach
url http://izvestiya-tpu.ru/archive/article/view/1345
work_keys_str_mv AT yurividin calculationofheatdistributioninrodwithvariableheatirradiationcoefficientonitssurface
AT romankazakov calculationofheatdistributioninrodwithvariableheatirradiationcoefficientonitssurface