Phonon Transport Across Mesoscopic Constrictions
Abstract
Phonon transport across constrictions formed by a nanowire or a nanoparticle on a substrate is studied by a numerical solution of the gray Boltzmann transport equation (BTE) resolving the effects of two length scales that govern problems of practical importance. Predictions of total thermal resistance for wire/substrate and particle/substrate combinations are made for the entire range of Knudsen number, with an emphasis on resolving transport in the mesoscopic regime where ballistic-diffusive mechanisms operate and analytical expressions are not available. The relative magnitudes of bulk and constriction resistance are established, and a correlation for overall thermal resistance spanning the range of practical Knudsen numbers is provided. [DOI: 10.1115/1.4002842]
Keywords
Boltzmann transport equation; constriction resistance; ballistic-diffusive transition; gas gap conductance; slip flow and heat transfer; Knudsen number; temperature jump; THERMAL CONTACT RESISTANCE; FIELD-EFFECT TRANSISTORS; HEAT-TRANSFER; CONDUCTIVITY; SILICON
DOI
10.1115/1.4002842
Citation
J. Heat Transfer 133(4), 042402 (Jan 11, 2011)
Date of this Version
4-2011
Recommended Citation
Singh, Druv; Murthy, Jayathi Y.; and Fisher, Timothy S., "Phonon Transport Across Mesoscopic Constrictions" (2011). Birck and NCN Publications. Paper 1032.
http://dx.doi.org/10.1115/1.4002842