When mathematics meets thermal science: The simpler is the better

Mathematics is an important tool to dealing with a complex problem, but it might be too abstract and elusive to be directly applied by engineers. This paper shows mathematics should be simple but effective for thermodynamic problems, the simpler is the better. The two-scale fractal is used as an exa...

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Main Author: He Ji-Huan
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2021-01-01
Series:Thermal Science
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100132H.pdf
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spelling doaj-95ccd64a804048b38e15e58b00fe53332021-05-27T13:12:06ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01253 Part B2039204210.2298/TSCI200715132H0354-98362100132HWhen mathematics meets thermal science: The simpler is the betterHe Ji-Huan0School of Science, Xi'an University of Architecture and Technology, Xi’an, China + School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China + National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, ChinaMathematics is an important tool to dealing with a complex problem, but it might be too abstract and elusive to be directly applied by engineers. This paper shows mathematics should be simple but effective for thermodynamic problems, the simpler is the better. The two-scale fractal is used as an example to show the im-portance of application of mathematics to practical problems, and a fast-slow law is suggested to deal with many discontinuous problems by fractal calculus.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100132H.pdffractal geometryporous mediumfractal derivativetwo-scale fractal dimensionslow-fast lawbrachistochrone curve
collection DOAJ
language English
format Article
sources DOAJ
author He Ji-Huan
spellingShingle He Ji-Huan
When mathematics meets thermal science: The simpler is the better
Thermal Science
fractal geometry
porous medium
fractal derivative
two-scale fractal dimension
slow-fast law
brachistochrone curve
author_facet He Ji-Huan
author_sort He Ji-Huan
title When mathematics meets thermal science: The simpler is the better
title_short When mathematics meets thermal science: The simpler is the better
title_full When mathematics meets thermal science: The simpler is the better
title_fullStr When mathematics meets thermal science: The simpler is the better
title_full_unstemmed When mathematics meets thermal science: The simpler is the better
title_sort when mathematics meets thermal science: the simpler is the better
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2021-01-01
description Mathematics is an important tool to dealing with a complex problem, but it might be too abstract and elusive to be directly applied by engineers. This paper shows mathematics should be simple but effective for thermodynamic problems, the simpler is the better. The two-scale fractal is used as an example to show the im-portance of application of mathematics to practical problems, and a fast-slow law is suggested to deal with many discontinuous problems by fractal calculus.
topic fractal geometry
porous medium
fractal derivative
two-scale fractal dimension
slow-fast law
brachistochrone curve
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100132H.pdf
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