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A FRACTAL DERIVATIVE MODEL FOR SNOW'S THERMAL INSULATION PROPERTY

ABSTRACT
Snow is of porous structure and good thermal insulation property. A fractal derivative model is established to reveal its thermal property, it is extremely high thermal-stable, the whole snow will not be affected much by the sudden environmental temperature change. A simple experiment is carried out to verify the theoretical finding, and the result is helpful to design advanced materials mimicking the snow structure.
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PAPER SUBMITTED: 2017-08-01
PAPER REVISED: 2018-11-23
PAPER ACCEPTED: 2018-11-23
PUBLISHED ONLINE: 2019-09-14
DOI REFERENCE: https://doi.org/10.2298/TSCI1904351W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE 4, PAGES [2351 - 2354]
REFERENCES
  1. 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
  2. He, J.-H., A New Fractal Derivation, Thermal Science, 15 (2011), Suppl. 1, pp. S145-S147
  3. Liu, F. J., et al., A Delayed Fractional Model for Cocoon Heat-Proof Property, Thermal Science, 21 (2017), 4, pp. 1867-1871
  4. Shen, J., et al., Effect of Pore Size on Gas Resistance of Nanofiber Membrane by the Bubble Electro-spinning, Thermal Science, 19 (2015), 4, pp. 1349-1351
  5. Liu, Y. Q., et al. Air Permeability of Nanofiber Membrane with Hierarchical Structure, Thermal Science, 22 (2018), 4, pp.1637-1643
  6. Wang, F. Y., et al., Improvement of Air Permeability of Bubbfil Nanofiber Membrane, Thermal Science, 22 (2018), 1A, pp. 17-21
  7. Tian, D., et al., Self-Assembly of Macromolecules in a Long and Narrow Tube, Thermal Science, 22 (2018), 4, pp. 1659-1664
  8. Tian, D., et al., Macromolecule Orientation in Nanofibers, Nanomaterials, 8 (2018), 11, ID 918
  9. Tian, D., et al., Macromolecular Electrospinning: Basic Concept & Preliminary Experiment, Results in Physics, 11 (2018), Dec., pp. 740-742
  10. He, J.-H., Fractal Calculus and Its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
  11. He, J.-H., Li, Z. B., Converting Fractional Differential Equations into Partial Differential Equations, Thermal Science, 16 (2012), 2, pp. 331-334
  12. He, J.-H., A Tutorial Review on Fractal Spacetime and Fractional Calculus, Int J Theor Phys, 53 (2014), 11, pp. 3698-3718
  13. Li, X. X., et al., A Fractal Modification of the Surface Coverage Model for an Electrochemical Arsenic Sensor, Electrochimica Acta, 296 (2019), Feb., pp. 491-493
  14. Wang, Q. L., et al., Fractal Calculus and Its Application to Explanation of Biomechanism of Polar Bear Hairs, Fractals, 26 (2018), 6, ID 1850086
  15. Wang, Y., An, J. Y., Amplitude-Frequency Relationship to A fractional Duffing Oscillator Arising in Microphysics and Tsunami Motion, Journal of Low Frequency Noise, Vibration & Active Control, On-line first, doi.org/10.1177/1461348418795813
  16. Wang, Y., Deng, Q., Fractal Derivative Model for Tsunami Travelling, Fractals, On-line first, doi.org/10.1142/S0218348X19500178
  17. Ain, Q. T., He, J.-H., On Two-Scale Dimension and Its Applications, Thermal Science 23 (2019), 3B, pp. 1707-1712
  18. He, J.-H., Ji, F.Y., Taylor Series Solution for Lane-Emden Equation, Journal of Mathematical Chemistry (2019), On-line first, doi.org/10.1007/s10910-019-01048-7

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, 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