Modified Ballistic-Diffusive Equations for Obtaining Phonon Mean Free Path Spectrum from Ballistic Thermal Resistance: II. Derivation of Integral Equation Based on Ballistic Thermal Resistance
被引:1
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作者:
Kwon, Ohmyoung
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机构:
Korea Univ, Sch Mech Engn, Seoul 02841, South KoreaKorea Univ, Sch Mech Engn, Seoul 02841, South Korea
Kwon, Ohmyoung
[1
]
Wehmeyer, Geoff
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机构:
Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USAKorea Univ, Sch Mech Engn, Seoul 02841, South Korea
Wehmeyer, Geoff
[2
]
Dames, Chris
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机构:
Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USAKorea Univ, Sch Mech Engn, Seoul 02841, South Korea
Dames, Chris
[2
]
机构:
[1] Korea Univ, Sch Mech Engn, Seoul 02841, South Korea
[2] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
Phonon mean free path;
effective thermal conductivity;
ballistic thermal resistance;
ballistic-diffusive equations;
phonon mean free path spectrum;
HEAT-CONDUCTION;
D O I:
10.1080/15567265.2019.1628135
中图分类号:
O414.1 [热力学];
学科分类号:
摘要:
Rebuilding phonon mean free path (MFP) spectra from experimental data is integral to phonon MFP spectroscopy. However, being based on effective thermal conductivity, the current integral equation for this precludes the use of certain heat sources of convenient shapes, such as a cylindrical nanoline. Herein, to enable using diverse specimens exhibiting a ballistic effect, we develop a ballistic thermal resistance-based integral equation, utilizing the ease and accuracy of the modified ballistic-diffusive equations demonstrated in the companion paper. The availability of more diverse shapes of specimens will enhance further development and widen use of phonon MFP spectroscopy.