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Finally, to provide a better understanding of the nanoscale heating process, we conducted numerical simulations by solving steady-state heat conduction equations and illustrated the three-dimensional temperature profiles of the gold/diamond nanohybrids in aqueous media with a volume-equivalent sphere approximation for both GNR and FND.
G. Chen, "Ballistic-Diffusive Heat Conduction Equations," Physical Review Letters, Vol. 85, pp. 2297-2300, 2001.
The heat conduction equations for the walls are solved through an explicit finite difference technique.
The flow and heat conduction equations are solved numerically using a control volume approach.
The mechanisms of the fast modulation in this emitter are elucidated by performing theoretical calculations of the heat conduction equations considering the thermal model of emitters including graphene and a substrate.
By separating the governing equations into various scales, the different orders of homogenized non-Fourier heat conduction equations are obtained.
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The numerical modeling is based on a finite difference approximation of the heat conduction equation, to which the thermal conductivity model becomes the primary input.
The heat conduction equation is solved using Comsol.
A two-dimensional heat conduction equation is developed.
Then, the heat conduction equation yields the temperature distribution.
Hyperbolic heat conduction equation in terms of heat flux is used for obtaining temperature profile.
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