A model for the heat balance of an infinitely long whisker
We have proposed a model for the heat balance of an infinitely long whisker. The model examines crystallization-related incoming heat flows to the liquid phase and the outgoing heat flow from the lateral surface of the crystal as a result of its heating through thermal conduction. The temperature is...
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| Veröffentlicht in: | Inorganic materials 2015-05, Vol.51 (5), p.520-524 |
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| container_title | Inorganic materials |
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| creator | Kozenkov, O. D. Gorbunov, V. V. |
| description | We have proposed a model for the heat balance of an infinitely long whisker. The model examines crystallization-related incoming heat flows to the liquid phase and the outgoing heat flow from the lateral surface of the crystal as a result of its heating through thermal conduction. The temperature is assumed to be constant throughout the cross section of the whisker. Using this model, we determined the tip temperature as a function of whisker radius for an infinitely long whisker and evaluated the whisker length at which thermal coupling to the substrate can be neglected. The whisker tip temperature decreases with decreasing whisker radius because of the increase in heat removal rate as a result of the increase in the proportion of the crystal surface. In the case of nanowhiskers, heat effects are insignificant, because the whisker tip temperature is essentially identical to the temperature of the ambient medium. |
| doi_str_mv | 10.1134/S0020168515050076 |
| format | Article |
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In the case of nanowhiskers, heat effects are insignificant, because the whisker tip temperature is essentially identical to the temperature of the ambient medium.</description><identifier>ISSN: 0020-1685</identifier><identifier>EISSN: 1608-3172</identifier><identifier>DOI: 10.1134/S0020168515050076</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Chemistry ; Chemistry and Materials Science ; Constants ; Cross sections ; Crystal surfaces ; Crystals ; Heat balance ; Heat transfer ; Heat transmission ; Industrial Chemistry/Chemical Engineering ; Inorganic Chemistry ; Materials Science ; Thermal coupling</subject><ispartof>Inorganic materials, 2015-05, Vol.51 (5), p.520-524</ispartof><rights>Pleiades Publishing, Ltd. 2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c321t-e9f43382c79f941e13164cab0d59620494fd6dfab8b764ee99514b664c9cd64f3</citedby><cites>FETCH-LOGICAL-c321t-e9f43382c79f941e13164cab0d59620494fd6dfab8b764ee99514b664c9cd64f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0020168515050076$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0020168515050076$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Kozenkov, O. D.</creatorcontrib><creatorcontrib>Gorbunov, V. V.</creatorcontrib><title>A model for the heat balance of an infinitely long whisker</title><title>Inorganic materials</title><addtitle>Inorg Mater</addtitle><description>We have proposed a model for the heat balance of an infinitely long whisker. The model examines crystallization-related incoming heat flows to the liquid phase and the outgoing heat flow from the lateral surface of the crystal as a result of its heating through thermal conduction. The temperature is assumed to be constant throughout the cross section of the whisker. Using this model, we determined the tip temperature as a function of whisker radius for an infinitely long whisker and evaluated the whisker length at which thermal coupling to the substrate can be neglected. The whisker tip temperature decreases with decreasing whisker radius because of the increase in heat removal rate as a result of the increase in the proportion of the crystal surface. In the case of nanowhiskers, heat effects are insignificant, because the whisker tip temperature is essentially identical to the temperature of the ambient medium.</description><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Constants</subject><subject>Cross sections</subject><subject>Crystal surfaces</subject><subject>Crystals</subject><subject>Heat balance</subject><subject>Heat transfer</subject><subject>Heat transmission</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Inorganic Chemistry</subject><subject>Materials Science</subject><subject>Thermal coupling</subject><issn>0020-1685</issn><issn>1608-3172</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwA9g8sgTuYseJ2aqKL6kSAzBHjnNuU1K72KlQ_z2pyobEdMP7PKe7l7FrhFtEIe_eAHJAVRVYQAFQqhM2QQVVJrDMT9nkEGeH_JxdpLQGAFlUesLuZ3wTWuq5C5EPK-IrMgNvTG-8JR4cN5533nW-G6jf8z74Jf9edemT4iU7c6ZPdPU7p-zj8eF9_pwtXp9e5rNFZkWOQ0baSSGq3JbaaYmEApW0poG20CoHqaVrVetMUzWlkkRaFygbNTLatko6MWU3x73bGL52lIZ60yVL_XgihV2qsQRdCsgVjigeURtDSpFcvY3dxsR9jVAfeqr_9DQ6-dFJI-uXFOt12EU_fvSP9AOe9GfT</recordid><startdate>20150501</startdate><enddate>20150501</enddate><creator>Kozenkov, O. 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V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c321t-e9f43382c79f941e13164cab0d59620494fd6dfab8b764ee99514b664c9cd64f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Constants</topic><topic>Cross sections</topic><topic>Crystal surfaces</topic><topic>Crystals</topic><topic>Heat balance</topic><topic>Heat transfer</topic><topic>Heat transmission</topic><topic>Industrial Chemistry/Chemical Engineering</topic><topic>Inorganic Chemistry</topic><topic>Materials Science</topic><topic>Thermal coupling</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kozenkov, O. D.</creatorcontrib><creatorcontrib>Gorbunov, V. 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The model examines crystallization-related incoming heat flows to the liquid phase and the outgoing heat flow from the lateral surface of the crystal as a result of its heating through thermal conduction. The temperature is assumed to be constant throughout the cross section of the whisker. Using this model, we determined the tip temperature as a function of whisker radius for an infinitely long whisker and evaluated the whisker length at which thermal coupling to the substrate can be neglected. The whisker tip temperature decreases with decreasing whisker radius because of the increase in heat removal rate as a result of the increase in the proportion of the crystal surface. In the case of nanowhiskers, heat effects are insignificant, because the whisker tip temperature is essentially identical to the temperature of the ambient medium.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0020168515050076</doi><tpages>5</tpages></addata></record> |
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| ispartof | Inorganic materials, 2015-05, Vol.51 (5), p.520-524 |
| issn | 0020-1685 1608-3172 |
| language | eng |
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| subjects | Chemistry Chemistry and Materials Science Constants Cross sections Crystal surfaces Crystals Heat balance Heat transfer Heat transmission Industrial Chemistry/Chemical Engineering Inorganic Chemistry Materials Science Thermal coupling |
| title | A model for the heat balance of an infinitely long whisker |
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