FRACTAL APPROACH TO HEAT TRANSFER IN SILKWORM COCOON HIERARCHY

Abstract

Silkworm cocoon has a complex hierarchic structure with discontinuity. In this paper, heat transfer through the silkworm cocoon is studied using fractal theory. The fractal approach has been successfully applied to explain the fascinating phenomenon of cocoon survival under extreme temperature environment. A better understanding of heat transfer mechanisms for the cocoon could be beneficial to the design of biomimetic clothes for special applications.

Dates

  • Submission Date2013-01-18
  • Revision Date2013-04-26
  • Acceptance Date2013-05-01
  • Online Date2013-12-28

DOI Reference

10.2298/TSCI1305546F

References

  1. Danks, H. V., The Roles of Insect Cocoons in Cold Conditions, European Journal of Entomology, 101 (2004), 3, pp. 3433-437
  2. Chen, F. J., et al., Silkworm Cocoons Inspire Models for Random Fiber and Particulate Composites, Physical Review E, 82 (2010), 4, pp. 041911-1-041911-6
  3. Chen, F. J., et al., Silk Cocoon (Bombyx Mori): Multi-Layer Structure and Mechanical Properties, Acta Biomaterialia, 8 (2012), 7, pp. 2620-2627
  4. Jiang, P., et al., Tensile Behavior and Morphology of Differently Degummed Silkworm (Bombyx Mori) Cocoon Silk Fibres, Materials Letters, 60 (2006), 7, pp. 919-925
  5. Blossman-Myer, B., Burggren, W. W., The Silk Cocoon of the Silkworm, Bombyx Mori: Macrostructure and Its Influence on Transmural Diffusion of Oxygen and Water Vapor, Comparative Biochemistry and Physiology, 155 (2010), 2, pp. 259-263
  6. Chen, R. X., et al., Waterproof and Dustproof of Wild Silk: A Theoretical Explanation, Journal of Nano Research, 22 (2013), 1, pp. 61-63
  7. Chen, R. X., et al., Silk Cocoon: Emperor's New Clothes for Pupa: Fractal Nano-Hydrodynamical Approach, Journal of Nano Research, 22 (2013), 1, pp. 65-70
  8. He, J. H., Liu, F. J., Local Fractional Variational Iteration Method for Fractal Heat Transfer in Silk Cocoon Hierarchy, Nonlinear Science Letters A, 4 (2013), 1, pp. 15-20
  9. He, J.-H., A New Fractal Derivation, Thermal Science, 15 (2011), Suppl. 1, pp. S145-S147
  10. Wang, Q. L., et al., Fractional Model for Heat Conduction in Polar Bear Hairs, Thermal Science, 15 (2011), Suppl. 1, pp. S1-S5
  11. Fan, J., He, J. H., Biomimic Design of Multi-Scale Fabric with Efficient Heat Transfer Property, Thermal Science, 16 (2012), 5, pp. 1349-1352
  12. Fan, J., He, J. H., Fractal Derivative Model for Air Permeability in Hierarchic Porous Media, Abstract and Applied Analysis, 2012 (2012), ID 354701
Volume 17, Issue 5, Pages1546 -1548