کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8050954 1519370 2018 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A one-phase Stefan problem with size-dependent thermal conductivity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A one-phase Stefan problem with size-dependent thermal conductivity
چکیده انگلیسی
In this paper a one-phase Stefan problem with size-dependent thermal conductivity is analysed. Approximate solutions to the problem are found via perturbation and numerical methods, and compared to the Neumann solution for the equivalent Stefan problem with constant conductivity. We find that the size-dependant thermal conductivity, relevant in the context of solidification at the nanoscale, slows down the solidification process. A small time asymptotic analysis reveals that the position of the solidification front in this regime behaves linearly with time, in contrast to the Neumann solution characterized by a square root of time proportionality. This has an important physical consequence, namely the speed of the front predicted by size-dependant conductivity model is finite while the Neumann solution predicts an infinite and, thus, unrealistic speed as t → 0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 63, November 2018, Pages 172-178
نویسندگان
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