TY - JOUR
T1 - Modified Ballistic–Diffusive Equations for Obtaining Phonon Mean Free Path Spectrum from Ballistic Thermal Resistance
T2 - II. Derivation of Integral Equation Based on Ballistic Thermal Resistance
AU - Kwon, Ohmyoung
AU - Wehmeyer, Geoff
AU - Dames, Chris
N1 - Funding Information:
This research was supported by the Nano-material Technology Development Program (No.2011-0030146) and Basic Science Research Program (NRF-2018R1A2B2002837) through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology.
Publisher Copyright:
© 2019, © 2019 Taylor & Francis.
PY - 2019/10/2
Y1 - 2019/10/2
N2 - 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.
AB - 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.
KW - Phonon mean free path
KW - ballistic thermal resistance
KW - ballistic–diffusive equations
KW - effective thermal conductivity
KW - phonon mean free path spectrum
UR - http://www.scopus.com/inward/record.url?scp=85067451811&partnerID=8YFLogxK
U2 - 10.1080/15567265.2019.1628135
DO - 10.1080/15567265.2019.1628135
M3 - Article
AN - SCOPUS:85067451811
SN - 1556-7265
VL - 23
SP - 334
EP - 347
JO - Nanoscale and Microscale Thermophysical Engineering
JF - Nanoscale and Microscale Thermophysical Engineering
IS - 4
ER -