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Quantum Size Effects on Classical Thermosize Effects
Istanbul Technical University, Energy Institute.ORCID iD: 0000-0002-7431-5115
Istanbul Technical University, Energy Institute.
2012 (English)In: Continuum Mechanics and Thermodynamics, ISSN 0935-1175, E-ISSN 1432-0959, Vol. 24, p. 339-346Article in journal (Refereed) Published
Abstract [en]

Thermosize effects have been proposed in literature by considering the quantum size effects (QSE)induced by the wave character of particles. These effects appear only if nano and macro domains are connectedto each other when they are under a temperature gradient. QSE are noticeable in nano domain while they arealmost negligible in macro domain. This difference causes thermosize effects, which may be called quantumthermosize effects (QTSE) because of their pure quantum origin. On the other hand, also classical thermosizeeffects (CTSE) appear as a result of different transport regimes in nano and macro domains, and they can benoticeable even if QTSE are negligible. As long as the mean free path (l) is much greater than the mean deBroglie wave length of particles (λ), which is almost the case in practice λ/l < 1, the principal effects areCTSE. QSE cause only small corrections on CTSE when the scale is down to nanoscale. On the other hand, in literature, QTSE and CTSE have been examined individually although it is not possible to observe QTSE alone in practice except for the extreme case of λ/l >> 1. Furthermore, the constant pressure assumption andthe Knudsen law have been used during the derivations of QTSE and CTSE, respectively, although the properassumption at nanoscale is the modified Knudsen law, which considers QSE. In this study, QSE on CTSE areconsidered and the modified Knudsen law is derived and used to obtain the more realistic results for thermosizecoefficients. The results can be used for a possible experimental verification of thermosize effects as well asto design some new devices based on these effects.

Place, publisher, year, edition, pages
2012. Vol. 24, p. 339-346
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-380290OAI: oai:DiVA.org:uu-380290DiVA, id: diva2:1299059
Available from: 2019-03-26 Created: 2019-03-26 Last updated: 2019-03-26

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