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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VINCA Institute of Nuclear Sciences
2021-01-01
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Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100132H.pdf |
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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 |
work_keys_str_mv |
AT hejihuan whenmathematicsmeetsthermalsciencethesimpleristhebetter |
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1721425566596333568 |