A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium

Detalhes bibliográficos
Autor(a) principal: Kumar,Rajneesh
Data de Publicação: 2011
Outros Autores: Panchal,Meenakshi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200001
Resumo: The paper deals with the propagation of axial symmetric cylindrical surface waves in a cylindrical bore through a homogeneous isotropic thermoelastic diffusive medium of infinite extent. The three theories of thermoelasticity namely, Coupled Thermoelasticity (CT), Lord and Shulman (L-S) and Green and Lindsay (G-L) are used to study the problem. The frequency equations, connecting the phase velocity with wave number, radius of bore and other material parameters, for empty and liquid filled bore are derived. The numerical results obtained have been illustrated graphically to understand the behaviour of phase velocity and attenuation coefficient versus wave number of a wave. A particular case of interest has also been deduced from the present investigation.
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spelling A study of axi-symmetric waves through an isotropic thermoelastic diffusive mediumcylindrical borediffusiongeneralized thermoelasticityphase velocityattenuation coefficientThe paper deals with the propagation of axial symmetric cylindrical surface waves in a cylindrical bore through a homogeneous isotropic thermoelastic diffusive medium of infinite extent. The three theories of thermoelasticity namely, Coupled Thermoelasticity (CT), Lord and Shulman (L-S) and Green and Lindsay (G-L) are used to study the problem. The frequency equations, connecting the phase velocity with wave number, radius of bore and other material parameters, for empty and liquid filled bore are derived. The numerical results obtained have been illustrated graphically to understand the behaviour of phase velocity and attenuation coefficient versus wave number of a wave. A particular case of interest has also been deduced from the present investigation.Sociedade Brasileira de Matemática Aplicada e Computacional2011-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200001Computational & Applied Mathematics v.30 n.2 2011reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022011000200001info:eu-repo/semantics/openAccessKumar,RajneeshPanchal,Meenakshieng2011-07-27T00:00:00Zoai:scielo:S1807-03022011000200001Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2011-07-27T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
title A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
spellingShingle A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
Kumar,Rajneesh
cylindrical bore
diffusion
generalized thermoelasticity
phase velocity
attenuation coefficient
title_short A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
title_full A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
title_fullStr A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
title_full_unstemmed A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
title_sort A study of axi-symmetric waves through an isotropic thermoelastic diffusive medium
author Kumar,Rajneesh
author_facet Kumar,Rajneesh
Panchal,Meenakshi
author_role author
author2 Panchal,Meenakshi
author2_role author
dc.contributor.author.fl_str_mv Kumar,Rajneesh
Panchal,Meenakshi
dc.subject.por.fl_str_mv cylindrical bore
diffusion
generalized thermoelasticity
phase velocity
attenuation coefficient
topic cylindrical bore
diffusion
generalized thermoelasticity
phase velocity
attenuation coefficient
description The paper deals with the propagation of axial symmetric cylindrical surface waves in a cylindrical bore through a homogeneous isotropic thermoelastic diffusive medium of infinite extent. The three theories of thermoelasticity namely, Coupled Thermoelasticity (CT), Lord and Shulman (L-S) and Green and Lindsay (G-L) are used to study the problem. The frequency equations, connecting the phase velocity with wave number, radius of bore and other material parameters, for empty and liquid filled bore are derived. The numerical results obtained have been illustrated graphically to understand the behaviour of phase velocity and attenuation coefficient versus wave number of a wave. A particular case of interest has also been deduced from the present investigation.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01
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=S1807-03022011000200001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000200001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022011000200001
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 Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.30 n.2 2011
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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