Two-scale mathematics and fractional calculus for thermodynamics
A three dimensional problem can be approximated by either a two-dimensional or one-dimensional case, but some information will be lost. To reveal the lost information due to the lower dimensional approach, two-scale mathematics is needed. Generally one scale is established by usage where...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2019-01-01
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| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2019/0354-98361904131H.pdf |
| Summary: | A three dimensional problem can be approximated by either a two-dimensional
or one-dimensional case, but some information will be lost. To reveal the
lost information due to the lower dimensional approach, two-scale
mathematics is needed. Generally one scale is established by usage where
traditional calculus works, and the other scale is for revealing the lost
information where the continuum assumption might be forbidden, and
fractional calculus or fractal calculus has to be used. The two-scale
transform can approximately convert the fractional calculus into its
traditional partner, making the two-scale thermodynamics much promising. |
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| ISSN: | 0354-9836 |