The heated infinite cylinder with sheath and two thermal surface resistance layers

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• 作者：Wolfgang Macher ; ^{wolfgang.macher@oeaw.ac.at} ; Norbert I. Kö ; mle ^{norbert.koemle@oeaw.ac.at} ; Mark S. Bentley ^{mark.bentley@oeaw.ac.at} ; Gü ; nter Kargl ^{guenter.kargl@oeaw.ac.at}
• 关键词：Heated composite cylinder ; Heated coaxial wire ; Thermal surface conductance ; Thermal surface resistance ; Conductivity sensor
• 刊名：International Journal of Heat and Mass Transfer
• 出版年：2013
• 出版时间：February, 2013
• 年：2013
• 卷：57
• 期：2
• 页码：528-534
• 全文大小：436 K

文摘

The temperature evolution in and around a heated infinite cylinder with tubular sheath is studied, allowing for surface resistances between the cylindrical core and sheath, as well as between the sheath and surrounding medium. This configuration was initially investigated in the framework of the thermal conductivity measurements made by the Apollo 15 and 17 missions to the Moon. Only the equilibration case was used in this context. We derive corresponding equations for arbitrary active heating of the cylinder core and sheath. Typical applications are the determination of the temperature increase and the heat loss of buried cables, and the temperature evolution in thermal conductivity sensors. An example of the latter is used to illustrate some consequences of low surface conductances.