Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature
Mixed convection in a porous medium from horizontal surfaces with variable wall temperature distribution is analyzed. The entire mixed convection regime is divided into two regions. The first region covers the forced convection dominated regime where the dimensionless parameter ξ Γ = Ra x/Pe x 3/2 i...
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Veröffentlicht in: | International journal of heat and mass transfer 1993, Vol.36 (2), p.471-477 |
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container_title | International journal of heat and mass transfer |
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creator | Aldoss, T.K. Chen, T.S. Armaly, B.F. |
description | Mixed convection in a porous medium from horizontal surfaces with variable wall temperature distribution is analyzed. The entire mixed convection regime is divided into two regions. The first region covers the forced convection dominated regime where the dimensionless parameter
ξ
Γ
=
Ra
x/Pe
x
3/2
is found to characterize the effect of buoyancy forces on the forced convection. The second region covers the free convection dominated regime where the dimensionless parameter
ξ
n=
Pe
x/Ra
x
2/3
is found to characterize the effect of the forced flow on the free convection. To obtain the solution that covers the entire mixed convection regime, the solution of the first region is carried out for
ξ
f=0. the pure forced convection limit, to
ξ
f=1 and the solution of the second region is carried out for
ξ
n=0, the pure free convection limit, to
ξ
n=1. The two solutions meet and match at
ξ
Γ=ξ
n=1. Numerical results for different wall temperature variations are presented. In addition, correlation equations for the local and average Nusselt numbers are obtained. |
doi_str_mv | 10.1016/0017-9310(93)80022-M |
format | Article |
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ξ
Γ
=
Ra
x/Pe
x
3/2
is found to characterize the effect of buoyancy forces on the forced convection. The second region covers the free convection dominated regime where the dimensionless parameter
ξ
n=
Pe
x/Ra
x
2/3
is found to characterize the effect of the forced flow on the free convection. To obtain the solution that covers the entire mixed convection regime, the solution of the first region is carried out for
ξ
f=0. the pure forced convection limit, to
ξ
f=1 and the solution of the second region is carried out for
ξ
n=0, the pure free convection limit, to
ξ
n=1. The two solutions meet and match at
ξ
Γ=ξ
n=1. Numerical results for different wall temperature variations are presented. In addition, correlation equations for the local and average Nusselt numbers are obtained.</description><identifier>ISSN: 0017-9310</identifier><identifier>EISSN: 1879-2189</identifier><identifier>DOI: 10.1016/0017-9310(93)80022-M</identifier><identifier>CODEN: IJHMAK</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Exact sciences and technology ; Flow of fluids ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Geothermal fields ; Heat transfer ; Physics ; Porous materials ; Turbulent flows, convection, and heat transfer</subject><ispartof>International journal of heat and mass transfer, 1993, Vol.36 (2), p.471-477</ispartof><rights>1993 Pergamon Press Ltd</rights><rights>1993 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c365t-e34e5eb04067b58f940ddcf3d05932cabb2e29167fec2f8b1c25b3cd70752cf23</citedby><cites>FETCH-LOGICAL-c365t-e34e5eb04067b58f940ddcf3d05932cabb2e29167fec2f8b1c25b3cd70752cf23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0017-9310(93)80022-M$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,4024,27923,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4555458$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Aldoss, T.K.</creatorcontrib><creatorcontrib>Chen, T.S.</creatorcontrib><creatorcontrib>Armaly, B.F.</creatorcontrib><title>Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature</title><title>International journal of heat and mass transfer</title><description>Mixed convection in a porous medium from horizontal surfaces with variable wall temperature distribution is analyzed. The entire mixed convection regime is divided into two regions. The first region covers the forced convection dominated regime where the dimensionless parameter
ξ
Γ
=
Ra
x/Pe
x
3/2
is found to characterize the effect of buoyancy forces on the forced convection. The second region covers the free convection dominated regime where the dimensionless parameter
ξ
n=
Pe
x/Ra
x
2/3
is found to characterize the effect of the forced flow on the free convection. To obtain the solution that covers the entire mixed convection regime, the solution of the first region is carried out for
ξ
f=0. the pure forced convection limit, to
ξ
f=1 and the solution of the second region is carried out for
ξ
n=0, the pure free convection limit, to
ξ
n=1. The two solutions meet and match at
ξ
Γ=ξ
n=1. Numerical results for different wall temperature variations are presented. In addition, correlation equations for the local and average Nusselt numbers are obtained.</description><subject>Exact sciences and technology</subject><subject>Flow of fluids</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Geothermal fields</subject><subject>Heat transfer</subject><subject>Physics</subject><subject>Porous materials</subject><subject>Turbulent flows, convection, and heat transfer</subject><issn>0017-9310</issn><issn>1879-2189</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1993</creationdate><recordtype>article</recordtype><recordid>eNp9kMlOxSAUQInRxOfwBy5YmKiLKlDosDExxilx2OiaUHqJGFqe0D6HlR_hF_olUp9x6YYbbs6dDkI7lBxSQosjQmiZ1Tkl-3V-UBHCWHazgma0KuuM0apeRbM_ZB1txPg0fQkvZmi49X20nXUq2OENR-_GwaYUNj7gzr5Ci7XvF6CnLDbBd_jRB_vu-0E5HMdglIaIbY8Vnvvgx4g7aO3YfX18LlJP1TjAL8o5PEA3h6CGMcAWWjPKRdj-jZvo4fzs_vQyu767uDo9uc50Xoghg5yDgIZwUpSNqEzNSdtqk7dE1DnTqmkYsJoWpQHNTNVQzUST67YkpWDasHwT7S37zoN_HiEOsrNRg3Oqh7SpLLkoOWdkIvmS1MHHGMDIebCdCm-SEjk5lpMxOQlMj_xxLG9S2e7vABW1ciaoXtv4V8uFEFxUCTteYpCOXVgIMmoLvU6iQjIrW2__n_MN8NeUag</recordid><startdate>1993</startdate><enddate>1993</enddate><creator>Aldoss, T.K.</creator><creator>Chen, T.S.</creator><creator>Armaly, B.F.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TC</scope></search><sort><creationdate>1993</creationdate><title>Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature</title><author>Aldoss, T.K. ; Chen, T.S. ; Armaly, B.F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c365t-e34e5eb04067b58f940ddcf3d05932cabb2e29167fec2f8b1c25b3cd70752cf23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1993</creationdate><topic>Exact sciences and technology</topic><topic>Flow of fluids</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Geothermal fields</topic><topic>Heat transfer</topic><topic>Physics</topic><topic>Porous materials</topic><topic>Turbulent flows, convection, and heat transfer</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Aldoss, T.K.</creatorcontrib><creatorcontrib>Chen, T.S.</creatorcontrib><creatorcontrib>Armaly, B.F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>International journal of heat and mass transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Aldoss, T.K.</au><au>Chen, T.S.</au><au>Armaly, B.F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature</atitle><jtitle>International journal of heat and mass transfer</jtitle><date>1993</date><risdate>1993</risdate><volume>36</volume><issue>2</issue><spage>471</spage><epage>477</epage><pages>471-477</pages><issn>0017-9310</issn><eissn>1879-2189</eissn><coden>IJHMAK</coden><abstract>Mixed convection in a porous medium from horizontal surfaces with variable wall temperature distribution is analyzed. The entire mixed convection regime is divided into two regions. The first region covers the forced convection dominated regime where the dimensionless parameter
ξ
Γ
=
Ra
x/Pe
x
3/2
is found to characterize the effect of buoyancy forces on the forced convection. The second region covers the free convection dominated regime where the dimensionless parameter
ξ
n=
Pe
x/Ra
x
2/3
is found to characterize the effect of the forced flow on the free convection. To obtain the solution that covers the entire mixed convection regime, the solution of the first region is carried out for
ξ
f=0. the pure forced convection limit, to
ξ
f=1 and the solution of the second region is carried out for
ξ
n=0, the pure free convection limit, to
ξ
n=1. The two solutions meet and match at
ξ
Γ=ξ
n=1. Numerical results for different wall temperature variations are presented. In addition, correlation equations for the local and average Nusselt numbers are obtained.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/0017-9310(93)80022-M</doi><tpages>7</tpages></addata></record> |
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language | eng |
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source | Access via ScienceDirect (Elsevier) |
subjects | Exact sciences and technology Flow of fluids Fluid dynamics Fundamental areas of phenomenology (including applications) Geothermal fields Heat transfer Physics Porous materials Turbulent flows, convection, and heat transfer |
title | Nonsimilarity solutions for mixed convection from horizontal surfaces in a porous medium—variable wall temperature |
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