A novel SPH method for the solution of Dual-Phase-Lag model with temperature-jump boundary condition in nanoscale

Saghatchi, Roozbeh; Ghazanfarian, Jafar

doi:10.1016/j.apm.2014.07.025

Cited by 38 publications

(13 citation statements)

References 29 publications

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“…Saghatchi and Ghazanfarian [165] and Ghazanfarian et al [166] presented a novel SPH method for the solution of the dual-phase-lag non-Fourier model concerning nanoscale geometry. They also presented a SPH technique for applying the Robintype temperature jump boundary condition.…”

Section: Smoothed Particle Hydrodynamicsmentioning

confidence: 99%

Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior

2015

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The classical model of the Fourier's law is known as the most common constitutive relation for thermal transport in various engineering materials. Although the Fourier's law has been widely used in a variety of engineering application areas, there are many exceptional applications in which the Fourier's law is questionable. This paper gathers together such applications. Accordingly, the paper is divided into two parts. The first part reviews the papers pertaining to the fundamental theory of the phase-lagging models and the analytical and numerical solution approaches. The second part wrap ups the various applications of the phase-lagging models including the biological materials, ultra-high-speed laser heating, the problems involving moving media, micro/nanoscale heat transfer, multi-layered materials, the theory of thermoelasticity, heat transfer in the material defects, the diffusion problems we call as the non-Fick models, and some other applications. It is predicted that the interest in the field of phase-lagging heat transport has grown incredibly in recent years because they show good agreement with the experiments across a wide range of length and time scales.

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Section: Smoothed Particle Hydrodynamicsmentioning

confidence: 99%

Macro- to Nanoscale Heat and Mass Transfer: The Lagging Behavior

2015

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“…One of the alternative is to use a mesh-free method such as the SPH scheme. The SPH method is a mesh-free Lagrangian particle-based method and is proved to be applicable for the simulation of multidimensional complex geometries, deformable materials or moving boundaries [37], non-Fourier nanoscale applications [38], and solving the Poisson's problem [39].…”

Section: Numerical Solution Proceduresmentioning

confidence: 99%

Implementation of Smoothed-Particle Hydrodynamics for non-linear Pennes’ bioheat transfer equation

Ghazanfarian

Saghatchi

Patil³

2015

Applied Mathematics and Computation

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“…This is because of the no-slip boundary condition, which is only satised at a macroscopic scale, in which the length scale of the problem is much larger than the mean free path of the molecules. This effect is described by the Knudsen number (Kn), which can be dened as 55 Kn ¼ l/L, where l is the molecular mean free path and L is the characteristic length scale, which in this study is equal to the diameter of the nanotubes. The deviation of the HP calculation and MD simulation is also due to the molecular interactions, which are not important in the macroscale continuum assumption.…”

Section: Water Conductionmentioning

confidence: 99%