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The onset of Soret-driven convection in a binary mixture heated from above
The onset of buoyancy-driven convection in an initially quiescent, horizontal fluid layer heated from above is analyzed theoretically. The present system of binary mixtures is a thermally stable one but the Soret diffusion can induce buoyancy-driven motion. With highly unstable density gradients the...
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Published in: | Physics of fluids (1994) 2007-08, Vol.19 (8) |
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container_title | Physics of fluids (1994) |
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creator | Kim, Min Chan Choi, Chang Kyun Yeo, Jong-Kee |
description | The onset of buoyancy-driven convection in an initially quiescent, horizontal fluid layer heated from above is analyzed theoretically. The present system of binary mixtures is a thermally stable one but the Soret diffusion can induce buoyancy-driven motion. With highly unstable density gradients the convective motion sets in during the transient diffusion stage. Here the onset time of convective motion is analyzed by employing the propagation theory. The dimensionless critical time
τ
c
and the critical wavenumber
a
c
to mark the onset of convective motion is presented as a function of the Rayleigh number
Ra
, the Lewis number
Le
, and the separation ratio
ψ
. The results show that the onset time decreases with increasing buoyancy force
Ra
(
Le
∕
ψ
)
−
1
and the predicted
a
c
-values agree well with available experimental data. For the ethanol-water system the predicted critical reduced Rayleigh number
r
c
(
=
Ra
c
∕
1708
)
=
−
0.0464
agrees reasonably with existing experimental results of
r
=
−
0.1
. It is found that the visible motion can be detected from a certain time
τ
≅
4
3
∕
4
τ
c
. |
doi_str_mv | 10.1063/1.2756824 |
format | article |
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τ
c
and the critical wavenumber
a
c
to mark the onset of convective motion is presented as a function of the Rayleigh number
Ra
, the Lewis number
Le
, and the separation ratio
ψ
. The results show that the onset time decreases with increasing buoyancy force
Ra
(
Le
∕
ψ
)
−
1
and the predicted
a
c
-values agree well with available experimental data. For the ethanol-water system the predicted critical reduced Rayleigh number
r
c
(
=
Ra
c
∕
1708
)
=
−
0.0464
agrees reasonably with existing experimental results of
r
=
−
0.1
. It is found that the visible motion can be detected from a certain time
τ
≅
4
3
∕
4
τ
c
.</description><identifier>ISSN: 1070-6631</identifier><identifier>EISSN: 1089-7666</identifier><identifier>DOI: 10.1063/1.2756824</identifier><identifier>CODEN: PHFLE6</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Buoyancy-driven instability ; Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Hydrodynamic stability ; Physics</subject><ispartof>Physics of fluids (1994), 2007-08, Vol.19 (8)</ispartof><rights>American Institute of Physics</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c329t-953cad4bcbf06fb93c61b4e8e1d29b3bd5a8ed57320560ec38f66b6b74bd8e4e3</citedby><cites>FETCH-LOGICAL-c329t-953cad4bcbf06fb93c61b4e8e1d29b3bd5a8ed57320560ec38f66b6b74bd8e4e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1553,27901,27902</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19086081$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kim, Min Chan</creatorcontrib><creatorcontrib>Choi, Chang Kyun</creatorcontrib><creatorcontrib>Yeo, Jong-Kee</creatorcontrib><title>The onset of Soret-driven convection in a binary mixture heated from above</title><title>Physics of fluids (1994)</title><description>The onset of buoyancy-driven convection in an initially quiescent, horizontal fluid layer heated from above is analyzed theoretically. The present system of binary mixtures is a thermally stable one but the Soret diffusion can induce buoyancy-driven motion. With highly unstable density gradients the convective motion sets in during the transient diffusion stage. Here the onset time of convective motion is analyzed by employing the propagation theory. The dimensionless critical time
τ
c
and the critical wavenumber
a
c
to mark the onset of convective motion is presented as a function of the Rayleigh number
Ra
, the Lewis number
Le
, and the separation ratio
ψ
. The results show that the onset time decreases with increasing buoyancy force
Ra
(
Le
∕
ψ
)
−
1
and the predicted
a
c
-values agree well with available experimental data. For the ethanol-water system the predicted critical reduced Rayleigh number
r
c
(
=
Ra
c
∕
1708
)
=
−
0.0464
agrees reasonably with existing experimental results of
r
=
−
0.1
. It is found that the visible motion can be detected from a certain time
τ
≅
4
3
∕
4
τ
c
.</description><subject>Buoyancy-driven instability</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Hydrodynamic stability</subject><subject>Physics</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEUhYMoWKsL_0E2LhSmJpOZO5mlFJ8UXFjXQx43NNJOShIH_fe2tNiF4OrcxXcP5xxCLjmbcAbilk_KpgZZVkdkxJlsiwYAjrd3wwoAwU_JWUofjDHRljAiL_MF0tAnzDQ4-hYi5sJGP2BPTegHNNmHnvqeKqp9r-I3Xfmv_BmRLlBltNTFsKJKhwHPyYlTy4QXex2T94f7-fSpmL0-Pk_vZoURZZuLthZG2Uob7Rg43QoDXFcokduy1ULbWkm0dSNKVgNDI6QD0KCbSluJFYoxud75mhhSiui6dfSrTbSOs247Qse7_Qgb9mrHrlUyaumi6o1Ph4eWSWCSb7ibHZeMz2rb-ZcZQjwYdmvr_oP_JvgBsHR4cw</recordid><startdate>20070801</startdate><enddate>20070801</enddate><creator>Kim, Min Chan</creator><creator>Choi, Chang Kyun</creator><creator>Yeo, Jong-Kee</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20070801</creationdate><title>The onset of Soret-driven convection in a binary mixture heated from above</title><author>Kim, Min Chan ; Choi, Chang Kyun ; Yeo, Jong-Kee</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c329t-953cad4bcbf06fb93c61b4e8e1d29b3bd5a8ed57320560ec38f66b6b74bd8e4e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Buoyancy-driven instability</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Hydrodynamic stability</topic><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Min Chan</creatorcontrib><creatorcontrib>Choi, Chang Kyun</creatorcontrib><creatorcontrib>Yeo, Jong-Kee</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Min Chan</au><au>Choi, Chang Kyun</au><au>Yeo, Jong-Kee</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The onset of Soret-driven convection in a binary mixture heated from above</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2007-08-01</date><risdate>2007</risdate><volume>19</volume><issue>8</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>The onset of buoyancy-driven convection in an initially quiescent, horizontal fluid layer heated from above is analyzed theoretically. The present system of binary mixtures is a thermally stable one but the Soret diffusion can induce buoyancy-driven motion. With highly unstable density gradients the convective motion sets in during the transient diffusion stage. Here the onset time of convective motion is analyzed by employing the propagation theory. The dimensionless critical time
τ
c
and the critical wavenumber
a
c
to mark the onset of convective motion is presented as a function of the Rayleigh number
Ra
, the Lewis number
Le
, and the separation ratio
ψ
. The results show that the onset time decreases with increasing buoyancy force
Ra
(
Le
∕
ψ
)
−
1
and the predicted
a
c
-values agree well with available experimental data. For the ethanol-water system the predicted critical reduced Rayleigh number
r
c
(
=
Ra
c
∕
1708
)
=
−
0.0464
agrees reasonably with existing experimental results of
r
=
−
0.1
. It is found that the visible motion can be detected from a certain time
τ
≅
4
3
∕
4
τ
c
.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.2756824</doi><tpages>8</tpages></addata></record> |
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language | eng |
recordid | cdi_crossref_primary_10_1063_1_2756824 |
source | American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list); AIP Digital Archive |
subjects | Buoyancy-driven instability Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic stability Physics |
title | The onset of Soret-driven convection in a binary mixture heated from above |
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