Abstract
In this paper, theoretical investigation is performed on two-dimensional 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.
Highlights
The past decade was full of countless achievements in nano engineering area
A finite element model is developed to solve nonlinear equations and calculate transient temperature distribution in multiwall carbon nanotubes (MWCNTs) subjected to various thermal shock conditions
The present results are compared with those obtained by the Fourier heat conduction analysis and it is concluded that with the Fourier heat conduction analysis, temperature of all points of a MWCNT is simultaneously affected from the thermal shock source
Summary
The past decade was full of countless achievements in nano engineering area. One of those advancements is carbon nanotubes (CNTs) (Usmani and Hassan, 2010; Bokobza, 2007; Cassell and Li, 2007; Dasgupta et al, 2011; Du et al, 2008; Endo et al, 2008; Fam et al, 2011; Fraysse et al, 2002). Talebian et al (2012a) investigated the effects of temperature on the axisymmetric dynamic behavior of MWCNTs. Jeng et al (2004) studied the thermal effects on tensile and compression deformation of CNTs. Transient distributions of temperature in MWCNTs under various thermal shocks are obtained with Fourier and non-Fourier methods and compared with available results for assessing this inaccuracy. For this purpose, temperature, size and direction dependencies of thermal properties are considered and finite element models are developed to solve the nonlinear equations. Due to intense dependency of CNT’s properties on temperature and geometric parameters, the finite element method is used for analyzing heat conduction behavior of MWCNTs under thermal shock.
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