THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

A delayed fractional model for Cocoon's heat-proof property

ABSTRACT
Silkworm cocoon is extremely insensitive to environment change, and a pupa can be survived in a harsh environment. This paper gives a mathematical explanation to this superior survival ability and an experiment is carefully carried out to verify the mechanism. The results are of great importance to design functional clothings for harsh environment, e.g., a moon suit.
KEYWORDS
PAPER SUBMITTED: 2016-04-15
PAPER REVISED: 2016-05-10
PAPER ACCEPTED: 2017-03-22
PUBLISHED ONLINE: 2017-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI160415101L
REFERENCES
  1. Liu, F. J., Wang, P., Zhang, Y., Liu, H. Y., He, J. H., A fractional Model for Insulation Clothings with Cocoon-like Porous Structure, Thermal Science, 20 (2016), 3, pp. 779-784
  2. Liu, F. J., Li, Z.B., Zhang, S., Liu, H.Y., He's Fractional Derivative for Heat Conduction in a Fractal Medium Arising in Silkworm Cocoon Hierarchy, Thermal Science, 19 (2015), 4, pp. 1155-1159
  3. Fan, J., He, J. H., Biomimic Design of Multi-scale Fabric with Efficient Heat Transfer Property, Thermal Science, 16 (2012), 5, pp. 1349 - 1352
  4. Fan, J., He, J. H., Fractal Derivative Model for Air Permeability in Hierarchic Porous Media, Abstract and Applied Analysis, 2012, Article ID 354701
  5. He, J. H., A Tutorial Review on Fractal Spacetime and Fractional Calculus, Journal of Theoretical Physics, 53 (2014), 11, pp. 3698-3718
  6. He, J. H., A New Fractal Derivation, Thermal Science, 15 (2011), S145-S147
  7. Li, Z. B., He, J. H., Fractional Complex Transform for Fractional Differential Equations, Mathematical & Computational Applications, 15 (2010), 5, pp. 970-973
  8. He, J. H., Li, Z. B., Converting Fractional Differential Equations into Partical Differential Equations, Thermal Science, 16 (2012), 2, pp. 331-334
  9. He, J. H., Asymptotic Methods for Solitary Solutions and Compactons, Abstract and Applied Analysis, 2012, Article ID 916793
  10. Li, Z.B., Zhu, W.H., Fractional Series Expansion Method for Fractional Differential Equations, International Journal of Numerical Methods for Heat & Fuid Flow, 25 (2015), 7, pp. 1525-1530
  11. He, J. H., Some Asymptotic Methods for Strongly Nonlinear Equations, International Journal of Modern Physics B, 20 (2006), 10, pp. 1141-1199
  12. He, J. H., Elagan, S. K., Li, Z. B., Geometrical Explanation of the Fractional Complex Transform and Derivative Chain Rule for Fractional Calculus, Physics Letters A , 376 (2012), 4, pp. 257-259
  13. Zhou, J., Liu, F. J., He, J. H., On Richards' Equation for Water Transport in Unsaturated Soils and Porous Fabrics, Computers and Geotechnics, 54 (2013), pp. 69-71