An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da FURG (RI FURG) |
Texto Completo: | http://repositorio.furg.br/handle/1/1036 |
Resumo: | The ADO method, an analytical version of the discrete-ordinates method, is used here to solve a heat-transfer problem in a rarefied gas confined in a channel, as well as to solve a half-space problem in order to evaluate the temperature jump at the wall. This work is an extension of a previous work, devoted to flow problems, where the complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology. In particular, numerical results for heat-flow profile, temperature and density perturbations are obtained for channels (walls), defined by different materials, on which different temperatures are imposed. |
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Scherer, Caio SarmentoProlo Filho, João FranciscoBarichello, Liliane Basso2011-09-28T20:36:07Z2011-09-28T20:36:07Z2009BARRICHELLO, L. B.; SCHERER, C. S.; PROLO FILHO, J. F.. An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems. Zeitschrift fur Angewandte Mathematik und Physik , v. 60, p. 651-687, 2009. Disponível em: <http://www.springerlink.com/content/836126653gv16034/fulltext.pdf>. Acesso em: 24 Set. 2011.0044-2275http://repositorio.furg.br/handle/1/103610.1007/s00033-008-7113-3The ADO method, an analytical version of the discrete-ordinates method, is used here to solve a heat-transfer problem in a rarefied gas confined in a channel, as well as to solve a half-space problem in order to evaluate the temperature jump at the wall. This work is an extension of a previous work, devoted to flow problems, where the complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology. In particular, numerical results for heat-flow profile, temperature and density perturbations are obtained for channels (walls), defined by different materials, on which different temperatures are imposed.engRarefied gas dynamicsBoltzmann equationKinetic modelsTemperature jumpHeat transferADO methodAn analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da FURG (RI FURG)instname:Universidade Federal do Rio Grande (FURG)instacron:FURGORIGINALAn analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems.pdfAn analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems.pdfapplication/pdf473467https://repositorio.furg.br/bitstream/1/1036/1/An%20analytical%20approach%20to%20the%20unified%20solution%20of%20kinetic%20equations%20in%20the%20rarefied%20gas%20dynamics.%20II.%20Heat%20transfer%20problems.pdfe3e3e029c815ebf7bcc8005bed4e2e77MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81724https://repositorio.furg.br/bitstream/1/1036/2/license.txt5b92b9704b4f13242d70e45ddef35a68MD52open access1/10362011-09-28 17:36:07.787open accessoai:repositorio.furg.br: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Repositório InstitucionalPUBhttps://repositorio.furg.br/oai/request || http://200.19.254.174/oai/requestopendoar:2011-09-28T20:36:07Repositório Institucional da FURG (RI FURG) - Universidade Federal do Rio Grande (FURG)false |
dc.title.pt_BR.fl_str_mv |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
title |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
spellingShingle |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems Scherer, Caio Sarmento Rarefied gas dynamics Boltzmann equation Kinetic models Temperature jump Heat transfer ADO method |
title_short |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
title_full |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
title_fullStr |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
title_full_unstemmed |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
title_sort |
An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems |
author |
Scherer, Caio Sarmento |
author_facet |
Scherer, Caio Sarmento Prolo Filho, João Francisco Barichello, Liliane Basso |
author_role |
author |
author2 |
Prolo Filho, João Francisco Barichello, Liliane Basso |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Scherer, Caio Sarmento Prolo Filho, João Francisco Barichello, Liliane Basso |
dc.subject.por.fl_str_mv |
Rarefied gas dynamics Boltzmann equation Kinetic models Temperature jump Heat transfer ADO method |
topic |
Rarefied gas dynamics Boltzmann equation Kinetic models Temperature jump Heat transfer ADO method |
description |
The ADO method, an analytical version of the discrete-ordinates method, is used here to solve a heat-transfer problem in a rarefied gas confined in a channel, as well as to solve a half-space problem in order to evaluate the temperature jump at the wall. This work is an extension of a previous work, devoted to flow problems, where the complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology. In particular, numerical results for heat-flow profile, temperature and density perturbations are obtained for channels (walls), defined by different materials, on which different temperatures are imposed. |
publishDate |
2009 |
dc.date.issued.fl_str_mv |
2009 |
dc.date.accessioned.fl_str_mv |
2011-09-28T20:36:07Z |
dc.date.available.fl_str_mv |
2011-09-28T20:36:07Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
BARRICHELLO, L. B.; SCHERER, C. S.; PROLO FILHO, J. F.. An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems. Zeitschrift fur Angewandte Mathematik und Physik , v. 60, p. 651-687, 2009. Disponível em: <http://www.springerlink.com/content/836126653gv16034/fulltext.pdf>. Acesso em: 24 Set. 2011. |
dc.identifier.uri.fl_str_mv |
http://repositorio.furg.br/handle/1/1036 |
dc.identifier.issn.none.fl_str_mv |
0044-2275 |
dc.identifier.doi.pt_BR.fl_str_mv |
10.1007/s00033-008-7113-3 |
identifier_str_mv |
BARRICHELLO, L. B.; SCHERER, C. S.; PROLO FILHO, J. F.. An analytical approach to the unified solution of kinetic equations in the rarefied gas dynamics. II. Heat transfer problems. Zeitschrift fur Angewandte Mathematik und Physik , v. 60, p. 651-687, 2009. Disponível em: <http://www.springerlink.com/content/836126653gv16034/fulltext.pdf>. Acesso em: 24 Set. 2011. 0044-2275 10.1007/s00033-008-7113-3 |
url |
http://repositorio.furg.br/handle/1/1036 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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reponame:Repositório Institucional da FURG (RI FURG) instname:Universidade Federal do Rio Grande (FURG) instacron:FURG |
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Universidade Federal do Rio Grande (FURG) |
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FURG |
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FURG |
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Repositório Institucional da FURG (RI FURG) |
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Repositório Institucional da FURG (RI FURG) |
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