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A FRACTIONAL MODEL AND ITS APPLICATION TO HEAT PREVENTION COATING WITH COCOON-LIKE HIERARCHY

ABSTRACT
In this paper, a fractional model is established by using the variational iteration method to elucidate the thermal properties of building prevention coating with a cocoon-like hierarchy. The fractal hierarchical structure of heat prevention coating makes the building wall mathematically adapted for an extreme temperature environment. This work has inspired the bionic design of protective suits and extreme temperature clothing.
KEYWORDS
PAPER SUBMITTED: 2020-03-15
PAPER REVISED: 2021-09-08
PAPER ACCEPTED: 2021-09-09
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203493X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2493 - 2498]
REFERENCES
  1. Huang, W. W., et al., Silkworm Silk-Based Materials and Devices Generated Using Bio-nano-technology, Chemical Society Review, 47 (2018), 17, pp. 6486-6504
  2. Chen, F. J., et al., Silk Cocoon (Bombyx Mori): Multi-layer Structure and Mechanical Properties, Acta Biomaterialia, 8 (2012), 7, pp. 2620-2627
  3. Vollrath, F., Knight, D. P., Liquid Crystalline Spinning of Spider Silk, Nature, 410 (2001), 6828, pp. 541-548
  4. Zhang, K., et al., Hierarchical, Multilayered Cell Walls Reinforced by Recycled Silk Cocoons Enhance the Structural Integrity of Honeybee Combs, Proceedings of the National Academy of Sciences of the United States of America, 107 (2010), 21, pp. 9502-9506
  5. Blossman-Myer, B., Burggren, W. W., The Silk Cocoon of the Silkworm, Bombyx Mori: Macro Struc-ture and its Influence on Transmural Diffusion of Oxygen and Water Vapor, Comparative Biochemistry and Physiology A-Molecular & Integrative 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), May, pp. 61-63
  7. Tao, H., et al., Silk Materials - a Road to Sustainable High Technology, Advanced Materials, 24 (2012), 21, pp. 2824-2837
  8. Wegst, U. G. K., et al., Bioinspired Structural Materials, Nature Materials, 14 (2015), 1, pp. 23-36
  9. Omenetto, F. G., Kaplan, D. L., New Opportunities for an Ancient Material, Science, 329 (2010), 5991, pp. 528-531
  10. Liu, F. J., et al., A Fractional Model for Insulation Clothings with Cocoon-like Porous Structure, Ther-mal Science, 20 (2016), 3, pp. 779-784
  11. Liu, F. J., et al., He's Fractional Derivative for Heat Conduction in a Fractal Medium Arising in Silk-worm Cocoon Hierarchy, Thermal Science, 19 (2015), 4, pp. 1155-1159
  12. Fei, D. D., et al., Fractal Approach to Heat Transfer in Silkworm Cocoon Hierarchy, Thermal Science, 17 (2013), 5, pp. 1546-1548
  13. Tian, Y., Liu, J., Direct Algebraic Method for Solving Fractional Fokas Equation, Thermal Science, 25 (2021), 3, pp. 2235-2244
  14. Tian, Y., Wan, J. X., Exact Solutions of Space-Time Fractional 2+1 Dimensional Breaking Soliton Equation, Thermal Science, 25 (2021), 2, pp. 1229-1235
  15. Tian, Y., Liu, J., A Modified Exp-Function Method for Fractional Partial Differential Equations, Ther-mal Science, 25 (2021), 2, pp. 1237-1241
  16. Wang, K. J., On New Abundant Exact Traveling Wave Solutions to the Local Fractional Gardner Equa-tion Defined on Cantor Sets, Mathematical Methods in the Applied Sciences, 45 (2022), 4, pp. 1904-1915
  17. Wang, K. J., Zhang, P. L., Investigation of the Periodic Solution of the Time-Space Fractional Sasa-Satsuma Equation Arising in the Monomode Optical Fibers, EPL, 137 (2022), 6, ID 62001
  18. He, J. H., et al., Variational Approach to Fractal Solitary Waves, Fractals, 29 (2021), 7, 2150199
  19. Han, C., et al., Numerical Solutions of Space Fractional Variable-Coefficient KdV-modified KdV Equa-tion by Fourier Spectral Method, Fractals, 29 (2021), 8, 2150246
  20. Dan, D. D., et al. Using Piecewise Reproducing Kernel Method and Legendre Polynomial for Solving a Class of the Time Variable Fractional Order Advection-Reaction-Diffusion Equation, Thermal Science, 25 (2021), 2B, pp. 1261-1268
  21. He, J. H., A Tutorial Review on Fractal Spacetime and Fractional Calculus, International Journal of Theoretical Physics, 53 (2014), 11, pp. 3698-3718
  22. Pandey, R. K., Mishra, H. K., Semi- Analytic Numerical Method for Solution of Time-Space Fractional Heat and Wave Type Equations with Variable Coefficients, Open Physics, 15 (2017), 1, pp. 74-86
  23. Sayevand, K., Arjang, F., A Reliable Implicit Difference Scheme for Treatments of Fourth-Order Frac-tional Sub-Diffusion Equation, Scientia Iranica, 24 (2017), 3, pp. 1100-1107
  24. He, J. H., Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Me-dia, Computer Methods in Applied Mechanics and Engineering, 167 (1998), 1-2, pp. 57-68
  25. He, J. H., et al., Dynamic Pull-in for Micro-Electromechanical Device with a Current-Carrying Conduc-tor, Journal of Low Frequency Noise Vibration and Active Control, 40 (2021), 2, pp. 1059-1066
  26. He, J. H., Maximal Thermo-geometric Parameter in a Non-Linear Heat Conduction Equation, Bulletin of the Malaysian Mathematical Sciences Society, 39 (2016), 2, pp. 605-608
  27. Skrzypacz, P., et al., A Simple Approximation of Periodic Solutions to Microelectromechanical System Model of Oscillating Parallel Plate Capacitor, Mathematical Methods in the Applied Sciences, On-line first, doi.org/10.1002/mma.6898, 2020
  28. Li, Z. B., He, J. H., Fractional Complex Transform for Fractional Differential Equations, Mathematical and Computation Applications, 15 (2010), 5, pp. 970-973
  29. He, J. H., Li, Z. B., Converting Fractional Differential Equations into Partial Differential Equations, Thermal Science, 16 (2012), 2, pp. 331-334
  30. Li, Z. B., et al., Exact Solutions of Time-Fractional Heat Conduction Equation by the Fractional Com-plex Transform, Thermal Science, 16 (2012), 2, pp. 335-338

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence