کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422462 1632010 2015 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change
ترجمه فارسی عنوان
استفاده از روش انتگرال ترکیبی با مشکلات دوفاز استفان با شروع تاخیر در تغییر فاز
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

In this paper the combined integral method (CIM) is applied to non-classical two-phase Stefan problems with delayed onset of phase change. This can occur if the phase change is caused by a heat-flux or Robin boundary condition. The method requires choosing an approximating function, typically a polynomial, but it is not clear what should be used as the exponent in the highest order term. Previous studies have determined exponents either from exact solutions or from expansions valid over short time scales; neither approach is satisfactory and can be very inaccurate for larger times. We combined the heat balance and refined integral methods to determine this exponent as part of the solution process, allowing the exponent to be time-dependent. From comparing the approximate solutions with numerical and exact analytical solutions whenever possible, we show that the CIM greatly improves the accuracy on standard heat balance integral methods, without detracting from its simplicity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 281, June 2015, Pages 58-73
نویسندگان
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