Direct and inverse solutions with non-Fourier effect on the irregular shape

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)

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“…Substituting Eq. 10into the energy conservation equation, thermal wave equation takes the form (Wang, 2010):…”

Section: Non-fourier Heat Conduction Analysismentioning

confidence: 99%

Transient heat conduction in multiwall carbon nanotubes

Tahani

Abolbashari

Talebian

et al. 2015

Lat. Am. j. solids struct.

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“…Using analytical [18,19] and numerical approaches [17,[20][21][22][23][24][25][26][27][28][29][30], non-Fourier effects have been investigated in different geometries such as irregular geometries [21], fins [31], crack tip [32], slabs [33,34], spherical [35] and cylindrical geometry [36]. Also, different boundary conditions are studied such as on-off heat flux boundary condition [37], periodic surface thermal disturbance [19], and axisymmetric surface sources [38].…”

Section: Introductionmentioning

confidence: 99%

Energy growth of disturbances in a non-Fourier fluid

Niknami

Khayat

2013

International Journal of Heat and Mass Transfer

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“…T. M. Chen and C. C. Chen [27,28] investigated the hyperbolic heat conduction problems in the radial-spherical coordinate system by the hybrid Green's function method. Wang [29] used the finite element method with linear least-squares error method to construct a simple noniterative inverse operation procedure for solving non-Fourier heat transfer effect in irregular geometry. The method combines the Laplace transform for the time domain, Green's function for the space domain, and ε-algorithm acceleration method for fast convergence of the series solution.…”

Section: Introductionmentioning

confidence: 99%

Non-Fourier Heat Conduction Analysis with Temperature-Dependent Thermal Conductivity

Rahideh

Malekzadeh

Haghighi

2011

ISRN Mechanical Engineering

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As a first endeavor, the one- and two-dimensional heat wave propagation in a medium subjected to different boundary conditions and with temperature-dependent thermal conductivity is studied. Both the spatial as well as the temporal domain is discretized using the differential quadrature method (DQM). This results in superior accuracy with fewer degrees of freedom than conventional finite element method (FEM). To verify this advantage through some comparison studies, a finite element solution ise also obtained. After demonstrating the convergence and accuracy of the method, the effects of different parameters on the temperature distribution of the medium are studied.

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Direct and inverse solutions with non-Fourier effect on the irregular shape

Cited by 11 publications

References 14 publications

Transient heat conduction in multiwall carbon nanotubes

Transient heat conduction in multiwall carbon nanotubes

Energy growth of disturbances in a non-Fourier fluid

Non-Fourier Heat Conduction Analysis with Temperature-Dependent Thermal Conductivity

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