A moment model for phonon transport at room temperature

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dc.contributor.authorMohammadzadeh, Alireza
dc.contributor.authorStruchtrup, Henning
dc.date.accessioned2017-05-10T21:55:47Z
dc.date.available2017-05-10T21:55:47Z
dc.date.copyright2016en_US
dc.date.issued2016
dc.descriptionconference paperen_US
dc.description.abstractHeat transfer in solids is modeled by deriving the macroscopic equations for phonon transport from the phonon-Boltzmann equation. In these equations, the Callaway model with frequency dependent relaxation time is considered to describe the Resistive and Normal processes in the phonon interactions. Also, the Brillouin zone is considered to be a sphere, its diameter depends on the temperature of the system. Macroscopic moments are defined using a polynomial of the frequency and wave vector of phonons. As an example, a system of moment equations, consisting of 3 directional and 7 frequency moments, i.e., 63 moments in total, is used to study one-dimensional heat transfer. Our results show the importance of frequency dependency in relaxation times and macroscopic moments to predict rarefaction effects. Good agreement with data reported in the literature is obtained.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipNSERC Discovery Granten_US
dc.identifier.citationAIP Conf. Proc. 1786, 140009, 2016en_US
dc.identifier.urihttp://dx.doi.org/10.1063/1.4967640
dc.identifier.urihttp://hdl.handle.net/1828/8092
dc.language.isoenen_US
dc.publisherAIP Conference Proceedingsen_US
dc.titleA moment model for phonon transport at room temperatureen_US
dc.typeArticleen_US

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