NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Chemical Engineering |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322015000100225 |
Resumo: | Abstract The study of the natural convection flow and heat transfer from hot surfaces in a porous medium has been of considerable interest in energy-related engineering problems. This paper is concerned with the free convection heat transfer over an arbitrary hot surface in a porous medium. It is assumed that the fluid and solid phases are not in local thermal equilibrium and therefore a two-temperature model of heat transfer is applied. The coupled momentum and energy equations are used and transformed into ODE’s. The similar equations obtained are solved numerically and the local heat flux is shown for three types of axisymmetric shapes, i.e., a vertical plate, horizontal cylinder and sphere. The results have also been validated with the available results in the literature; which show that our assumptions and numerical method are accurate. Mathematical derivation of a similarity solution for an arbitrary geometry in the heat transfer analysis is the main novelty of the present study. |
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Brazilian Journal of Chemical Engineering |
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NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUMSimilarity SolutionArbitrary SurfacePorous MediumNatural ConvectionAbstract The study of the natural convection flow and heat transfer from hot surfaces in a porous medium has been of considerable interest in energy-related engineering problems. This paper is concerned with the free convection heat transfer over an arbitrary hot surface in a porous medium. It is assumed that the fluid and solid phases are not in local thermal equilibrium and therefore a two-temperature model of heat transfer is applied. The coupled momentum and energy equations are used and transformed into ODE’s. The similar equations obtained are solved numerically and the local heat flux is shown for three types of axisymmetric shapes, i.e., a vertical plate, horizontal cylinder and sphere. The results have also been validated with the available results in the literature; which show that our assumptions and numerical method are accurate. Mathematical derivation of a similarity solution for an arbitrary geometry in the heat transfer analysis is the main novelty of the present study.Brazilian Society of Chemical Engineering2015-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322015000100225Brazilian Journal of Chemical Engineering v.32 n.1 2015reponame:Brazilian Journal of Chemical Engineeringinstname:Associação Brasileira de Engenharia Química (ABEQ)instacron:ABEQ10.1590/0104-6632.20150321s00002732info:eu-repo/semantics/openAccessShahmardan,M. M.Nazari,M.Samani,A. A.eng2015-05-12T00:00:00Zoai:scielo:S0104-66322015000100225Revistahttps://www.scielo.br/j/bjce/https://old.scielo.br/oai/scielo-oai.phprgiudici@usp.br||rgiudici@usp.br1678-43830104-6632opendoar:2015-05-12T00:00Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ)false |
dc.title.none.fl_str_mv |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
title |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
spellingShingle |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM Shahmardan,M. M. Similarity Solution Arbitrary Surface Porous Medium Natural Convection |
title_short |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
title_full |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
title_fullStr |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
title_full_unstemmed |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
title_sort |
NOVEL SIMILARITY-SOLUTION WHICH IS APPLICABLE FOR FREE CONVECTION OVER A BODY OF ARBITRARY SHAPE: THERMAL NON-EQUILIBRIUM IN A POROUS MEDIUM |
author |
Shahmardan,M. M. |
author_facet |
Shahmardan,M. M. Nazari,M. Samani,A. A. |
author_role |
author |
author2 |
Nazari,M. Samani,A. A. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Shahmardan,M. M. Nazari,M. Samani,A. A. |
dc.subject.por.fl_str_mv |
Similarity Solution Arbitrary Surface Porous Medium Natural Convection |
topic |
Similarity Solution Arbitrary Surface Porous Medium Natural Convection |
description |
Abstract The study of the natural convection flow and heat transfer from hot surfaces in a porous medium has been of considerable interest in energy-related engineering problems. This paper is concerned with the free convection heat transfer over an arbitrary hot surface in a porous medium. It is assumed that the fluid and solid phases are not in local thermal equilibrium and therefore a two-temperature model of heat transfer is applied. The coupled momentum and energy equations are used and transformed into ODE’s. The similar equations obtained are solved numerically and the local heat flux is shown for three types of axisymmetric shapes, i.e., a vertical plate, horizontal cylinder and sphere. The results have also been validated with the available results in the literature; which show that our assumptions and numerical method are accurate. Mathematical derivation of a similarity solution for an arbitrary geometry in the heat transfer analysis is the main novelty of the present study. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322015000100225 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322015000100225 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/0104-6632.20150321s00002732 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
publisher.none.fl_str_mv |
Brazilian Society of Chemical Engineering |
dc.source.none.fl_str_mv |
Brazilian Journal of Chemical Engineering v.32 n.1 2015 reponame:Brazilian Journal of Chemical Engineering instname:Associação Brasileira de Engenharia Química (ABEQ) instacron:ABEQ |
instname_str |
Associação Brasileira de Engenharia Química (ABEQ) |
instacron_str |
ABEQ |
institution |
ABEQ |
reponame_str |
Brazilian Journal of Chemical Engineering |
collection |
Brazilian Journal of Chemical Engineering |
repository.name.fl_str_mv |
Brazilian Journal of Chemical Engineering - Associação Brasileira de Engenharia Química (ABEQ) |
repository.mail.fl_str_mv |
rgiudici@usp.br||rgiudici@usp.br |
_version_ |
1754213174667640832 |