کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8052570 1519406 2015 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A novel SPH method for the solution of Dual-Phase-Lag model with temperature-jump boundary condition in nanoscale
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A novel SPH method for the solution of Dual-Phase-Lag model with temperature-jump boundary condition in nanoscale
چکیده انگلیسی
This paper proposes a newly developed smoothed-particle hydrodynamics (SPH) method for the solution of one-dimensional heat conduction problem within a nanoscale thin slab for Knudsen numbers of 0.1 and 1 under the effect of Dual-Phase-Lag (DPL) model. A novel temperature-jump boundary condition is applied to the Lagrangian particle-based mesh-free SPH method in order to take into account the boundary phonon scattering phenomenon in the micro- and nano-scales. The formulation and discretization of the non-Fourier DPL heat conduction equation containing a third-order combined spatial-time derivative together with a temperature-jump boundary condition are presented and then a proper nanoscale time-stepping of the SPH method has been introduced. The dimensionless temperature and heat flux distributions have shown a good agreement with the existing numerical and analytical data for different dimensionless times, temperature to heat flux phase-lag ratios, and the Knudsen numbers. It is found that the developed SPH method have accurately simulated the complex behavior of the DPL model with relatively low computational cost.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 39, Issues 3–4, February 2015, Pages 1063-1073
نویسندگان
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