A moment model for phonon transport at room temperature

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dc.contributor.authorMohammadzadeh, Alireza
dc.contributor.authorStruchtrup, Henning
dc.date.accessioned2017-06-15T21:19:37Z
dc.date.available2017-06-15T21:19:37Z
dc.date.copyright2017en_US
dc.date.issued2017
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, and its diameter depends on the temperature of the system. A simple model to describe phonon interaction with crystal boundary is employed to obtain macroscopic boundary conditions, where the reflection kernel is the superposition of diffusive reflection, specular reflection and isotropic scattering. 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 three directional and seven frequency moments, i.e., 63 moments in total, is used to study one-dimensional heat transfer, as well as Poiseuille flow of phonons. 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.citationMohammadzadeh, A., & Struchtrup, H. (2017). A moment model for phonon transport at room temperature. Cont. Mech. Thermodyn., Vol. 29, 117-144.en_US
dc.identifier.urihttp://hdl.handle.net/1828/8281
dc.language.isoenen_US
dc.publisherContinuum Mechanics and Thermodynamicsen_US
dc.titleA moment model for phonon transport at room temperatureen_US
dc.typePostprinten_US

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