FRACTAL CALCULUS AND ITS APPLICATION TO EXPLANATION OF BIOMECHANISM OF POLAR BEAR HAIRS
By Qingli Wang, Xiangyang Shi, Ji-Huan He, Zheng-Biao Li. Fractals, 2018
127 citations recorded by the source corpus.
The polar bear hairs have special hierarchical structure with fractal dimensions of golden ratio, which endows the creature with remarkable cool prevention. Fractal calculus is adopted in this paper to reveal its thermal properties, and a fractal derivative model of one-dimensional heat conduction along the hair is established and solved, the results reveal that there is an optimal hair length for the cool prevention. This paper sheds a new light on bio-inspired fabrics for fire-protection clothing and clothing for extreme environment.
Subfields: Physiology, Polymers and Plastics
View Paper: https://www.semanticscholar.org/paper/fb5114e4f9c40552d5781f736e083bf1111c80ef
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In Physiology
In Polymers and Plastics
Citations in the corpus
- On two-scale dimension and its applications (2019, background): “Fractal is mathematically beautiful and physically imperative to deal with discontinuous problems, such as heat conduction through a porous medium or a hierarchical structure [2-10].”
- The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators (2019, background): “It is extremely easy to calculate its derivative with respect to u, that is f0ðuÞ 1⁄4 3u 2 þ u(4) ð1þ u2Þ(2) (47) Setting u1⁄4A/2, we have x(2) 1⁄4 3 4A 2 þ 1 16A4 ð1þ (1)4A(2)Þ2 (48)”