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 -