FRACTAL CALCULUS AND ITS APPLICATION TO EXPLANATION OF BIOMECHANISM OF POLAR BEAR HAIRS
Authors:
- 1 December 2018
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Fractals
- Vol. 26 (06)
Abstract
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.Keywords
This publication has 31 references indexed in Scilit:
- Performance analysis of organic Rankine cycles using different working fluidsThermal Science, 2015
- A Tutorial Review on Fractal Spacetime and Fractional CalculusInternational Journal of Theoretical Physics, 2014
- Fractal approach to heat transfer in silkworm cocoon hierarchyThermal Science, 2013
- FRACTAL HEAT TRANSFER IN WOOL FIBER HIERARCHYHeat Transfer Research, 2013
- Fractal Derivative Model for Air Permeability in Hierarchic Porous MediaAbstract and Applied Analysis, 2012
- Fractional model for heat conduction in polar bear hairsThermal Science, 2012
- Converting fractional differential equations into partial differential equationsThermal Science, 2012
- Can polar bear hairs absorb environmental energy?Thermal Science, 2011
- A new fractal derivationThermal Science, 2011
- Textile solar light collectors based on models for polar bear hairSolar Energy Materials and Solar Cells, 2008