Transient heat conduction in multiwall carbon nanotubes

Abstract

In this paper, theoretical investigation is performed on twodimensional transient heat conduction in multiwall carbon nanotubes (MWCNTs) by using a continuum model. Temperature, size and direction dependencies of thermal properties are considered. Both Fourier and non-Fourier heat conduction approaches are used and finite element models are developed to solve the nonlinear equations for MWCNTs. The presented solutions are verified by comparing the results with those reported in the literature. Three types of thick and thin MWCNTs are considered and thermal shock is applied to their cylindrical surfaces or end cross sectional areas. Temperature distributions resulted from both approaches are obtained and compared together. Interesting results are found especially in MWCNTs that are exposed to extreme temperature gradient. Keywords Non-Fourier heat conduction; multiwall carbon nanotube; finite element method; thermal shock. Transient heat conduction in multiwall carbon nanotubes 1 INTRODUCTION The past decade was full of countless achievements in nano engineering area. One of those advancements is carbon nanotubes (CNTs)

Power Withstanding Capability and Transient Temperature of Carbon Nanotube-Based Nano Electrical Interconnects

“…The results are compared with Cu and Al interconnects. In FEM analysis, CNT electrical interconnects can be considered as a continuum block or continuum shell [27,28]. CNT interconnects have a cylindrical structure which consists of pentagon rings.…”

“…As the diameter of the CNT interconnect is much lesser than the length, the heat transfer is considered one-dimensional which is along the length [34]. The one-dimensional heat equation of solids applies to nanoscale interconnects [28]. The FEM analysis solves the following equations to carryout electrothermal analysis and to obtain the performance parameters.…”

“…In FEM analysis, CNT electrical interconnects can be considered as a continuum block or continuum shell. 27,28 CNT interconnects have a cylindrical structure which consists of pentagon rings. The discrete structure of the CNT interconnect is shown in Fig.…”

“…34 The onedimensional heat equation of solids applies to nanoscale interconnects. 28 The FEM analysis solves the following equations to carryout electrothermal analysis and to obtain the performance parameters.…”