کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7055720 | 1458044 | 2016 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On defects of Taylor series approximation in heat conduction models
ترجمه فارسی عنوان
در نقائص تقریبی سری تیلور در مدل های هدایت حرارتی
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
چکیده انگلیسی
Taylor series approximation like q(t+Ï)âq+Ïâqât are often used to derive, extend or interpret typical heat conduction models. Researchers may take it for granted that the single-phase-lagging (SPL) model can be considered as an extension of the Cattaneo-Vernotte (CV) model because there is such approximation relationship between them. We point out in this paper that this Taylor series approximation itself has some defects based on analyses in mathematics, physics and some examples first. Then, we show essential differences in both mathematics and physics between the CV and SPL models. It is found that their mathematical characteristics and accordance with the laws of thermodynamics are significantly different, which indicates that using this approximation to connect the two models may be defective in some cases. What's more, higher order approximation can't solve these problems and defects.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 98, July 2016, Pages 824-832
Journal: International Journal of Heat and Mass Transfer - Volume 98, July 2016, Pages 824-832
نویسندگان
Shu-Nan Li, Bing-Yang Cao,