Effective conductivity estimation of binary metallic mixtures
The effective conductivity of binary metallic mixtures depends upon the concentration ( c ) of metallic mixtures and conductivity ratio ( α ) . The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges...
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| Veröffentlicht in: | International journal of thermal sciences 2007-05, Vol.46 (5), p.419-425 |
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| container_title | International journal of thermal sciences |
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| creator | Karthikeyan, P. Reddy, K.S. |
| description | The effective conductivity of binary metallic mixtures depends upon the concentration
(
c
)
of metallic mixtures and conductivity ratio
(
α
)
. The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges. In the present work, a model has been proposed including both constant isotherms based unit cell approach and Bessel function based semi-empirical field solution approach. The non-dimensional effective conductivity
(
K
)
of macroscopically heterogeneous and anisotropic mixtures has been investigated. Another important aspect of the model is that it covers all ranges of concentration and conductivity ratio. The effect of concentration
(
c
)
on variable height of inclusion
(
h
)
has been studied. A comparison of the model has been made with two extreme bounds (parallel and series) and other well-known models, which gives a reasonable agreement. The model has also been compared with experimental data of various binary metallic mixtures such as Bi
Bi
2Pb, Bismuth
Tin, Mg
2Pb
Pb, Cadmium
Lead, Copper
Ferrous, Cu
2Sb
Sb, and Antimony
Lead. The conductivity estimated by the model for binary metallic mixtures is within 8% deviation from the experimental values. |
| doi_str_mv | 10.1016/j.ijthermalsci.2006.07.002 |
| format | Article |
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(
c
)
of metallic mixtures and conductivity ratio
(
α
)
. The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges. In the present work, a model has been proposed including both constant isotherms based unit cell approach and Bessel function based semi-empirical field solution approach. The non-dimensional effective conductivity
(
K
)
of macroscopically heterogeneous and anisotropic mixtures has been investigated. Another important aspect of the model is that it covers all ranges of concentration and conductivity ratio. The effect of concentration
(
c
)
on variable height of inclusion
(
h
)
has been studied. A comparison of the model has been made with two extreme bounds (parallel and series) and other well-known models, which gives a reasonable agreement. The model has also been compared with experimental data of various binary metallic mixtures such as Bi
Bi
2Pb, Bismuth
Tin, Mg
2Pb
Pb, Cadmium
Lead, Copper
Ferrous, Cu
2Sb
Sb, and Antimony
Lead. The conductivity estimated by the model for binary metallic mixtures is within 8% deviation from the experimental values.</description><identifier>ISSN: 1290-0729</identifier><identifier>EISSN: 1778-4166</identifier><identifier>DOI: 10.1016/j.ijthermalsci.2006.07.002</identifier><language>eng</language><publisher>Paris: Elsevier Masson SAS</publisher><subject>Anisotropic ; Condensed matter: electronic structure, electrical, magnetic, and optical properties ; Effective conductivity ; Electronic transport in condensed matter ; Exact sciences and technology ; Field solution approach ; General formulation of transport theory ; Macroscopically heterogeneous ; Physics ; Theory of electronic transport; scattering mechanisms ; Unit-cell approach ; Variable height of inclusion in the unit cell</subject><ispartof>International journal of thermal sciences, 2007-05, Vol.46 (5), p.419-425</ispartof><rights>2006 Elsevier Masson SAS</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c385t-b62e03a944addfc083fcc30bb243759813388d64662eb955b8333b40f2a17e2c3</citedby><cites>FETCH-LOGICAL-c385t-b62e03a944addfc083fcc30bb243759813388d64662eb955b8333b40f2a17e2c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijthermalsci.2006.07.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18579851$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Karthikeyan, P.</creatorcontrib><creatorcontrib>Reddy, K.S.</creatorcontrib><title>Effective conductivity estimation of binary metallic mixtures</title><title>International journal of thermal sciences</title><description>The effective conductivity of binary metallic mixtures depends upon the concentration
(
c
)
of metallic mixtures and conductivity ratio
(
α
)
. The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges. In the present work, a model has been proposed including both constant isotherms based unit cell approach and Bessel function based semi-empirical field solution approach. The non-dimensional effective conductivity
(
K
)
of macroscopically heterogeneous and anisotropic mixtures has been investigated. Another important aspect of the model is that it covers all ranges of concentration and conductivity ratio. The effect of concentration
(
c
)
on variable height of inclusion
(
h
)
has been studied. A comparison of the model has been made with two extreme bounds (parallel and series) and other well-known models, which gives a reasonable agreement. The model has also been compared with experimental data of various binary metallic mixtures such as Bi
Bi
2Pb, Bismuth
Tin, Mg
2Pb
Pb, Cadmium
Lead, Copper
Ferrous, Cu
2Sb
Sb, and Antimony
Lead. The conductivity estimated by the model for binary metallic mixtures is within 8% deviation from the experimental values.</description><subject>Anisotropic</subject><subject>Condensed matter: electronic structure, electrical, magnetic, and optical properties</subject><subject>Effective conductivity</subject><subject>Electronic transport in condensed matter</subject><subject>Exact sciences and technology</subject><subject>Field solution approach</subject><subject>General formulation of transport theory</subject><subject>Macroscopically heterogeneous</subject><subject>Physics</subject><subject>Theory of electronic transport; scattering mechanisms</subject><subject>Unit-cell approach</subject><subject>Variable height of inclusion in the unit cell</subject><issn>1290-0729</issn><issn>1778-4166</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNqNkMtKAzEUhgdRsFbfYRB0N-NJMpOL4EK0XqDgRtchk0kww1xqkhb79qa0oEtXOYvv_H_Ol2WXCEoEiN50pevip_GD6oN2JQagJbASAB9lM8QYLypE6XGasYACGBan2VkIHQAwAWKW3S2sNTq6jcn1NLbr3ejiNjchukFFN435ZPPGjcpv88FE1fdO54P7jmtvwnl2YlOzuTi88-zjafH-8FIs355fH-6XhSa8jkVDsQGiRFWptrUaOLFaE2gaXBFWC44I4bylFU1cI-q64YSQpgKLFWIGazLPrve5Kz99rdPf5OCCNn2vRjOtg8SCUwq8SuDtHtR-CsEbK1c-3eG3EoHcGZOd_GtM7oxJYDIZS8tXhxYVtOqtV6N24TeB10zwGiXucc-ZdPLGGS9Tkhm1aZ1PLmU7uf_U_QB5u4kM</recordid><startdate>20070501</startdate><enddate>20070501</enddate><creator>Karthikeyan, P.</creator><creator>Reddy, K.S.</creator><general>Elsevier Masson SAS</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>20070501</creationdate><title>Effective conductivity estimation of binary metallic mixtures</title><author>Karthikeyan, P. ; Reddy, K.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c385t-b62e03a944addfc083fcc30bb243759813388d64662eb955b8333b40f2a17e2c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Anisotropic</topic><topic>Condensed matter: electronic structure, electrical, magnetic, and optical properties</topic><topic>Effective conductivity</topic><topic>Electronic transport in condensed matter</topic><topic>Exact sciences and technology</topic><topic>Field solution approach</topic><topic>General formulation of transport theory</topic><topic>Macroscopically heterogeneous</topic><topic>Physics</topic><topic>Theory of electronic transport; scattering mechanisms</topic><topic>Unit-cell approach</topic><topic>Variable height of inclusion in the unit cell</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Karthikeyan, P.</creatorcontrib><creatorcontrib>Reddy, K.S.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of thermal sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Karthikeyan, P.</au><au>Reddy, K.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effective conductivity estimation of binary metallic mixtures</atitle><jtitle>International journal of thermal sciences</jtitle><date>2007-05-01</date><risdate>2007</risdate><volume>46</volume><issue>5</issue><spage>419</spage><epage>425</epage><pages>419-425</pages><issn>1290-0729</issn><eissn>1778-4166</eissn><abstract>The effective conductivity of binary metallic mixtures depends upon the concentration
(
c
)
of metallic mixtures and conductivity ratio
(
α
)
. The binary metallic mixtures exist in a variety of shapes and sizes. No single theory can be expected to cover all the concentration and conductivity ranges. In the present work, a model has been proposed including both constant isotherms based unit cell approach and Bessel function based semi-empirical field solution approach. The non-dimensional effective conductivity
(
K
)
of macroscopically heterogeneous and anisotropic mixtures has been investigated. Another important aspect of the model is that it covers all ranges of concentration and conductivity ratio. The effect of concentration
(
c
)
on variable height of inclusion
(
h
)
has been studied. A comparison of the model has been made with two extreme bounds (parallel and series) and other well-known models, which gives a reasonable agreement. The model has also been compared with experimental data of various binary metallic mixtures such as Bi
Bi
2Pb, Bismuth
Tin, Mg
2Pb
Pb, Cadmium
Lead, Copper
Ferrous, Cu
2Sb
Sb, and Antimony
Lead. The conductivity estimated by the model for binary metallic mixtures is within 8% deviation from the experimental values.</abstract><cop>Paris</cop><pub>Elsevier Masson SAS</pub><doi>10.1016/j.ijthermalsci.2006.07.002</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1290-0729 |
| ispartof | International journal of thermal sciences, 2007-05, Vol.46 (5), p.419-425 |
| issn | 1290-0729 1778-4166 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_29866084 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Anisotropic Condensed matter: electronic structure, electrical, magnetic, and optical properties Effective conductivity Electronic transport in condensed matter Exact sciences and technology Field solution approach General formulation of transport theory Macroscopically heterogeneous Physics Theory of electronic transport scattering mechanisms Unit-cell approach Variable height of inclusion in the unit cell |
| title | Effective conductivity estimation of binary metallic mixtures |
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