Application of Fractional Derivatives for Description of Kinetic Curvature of Thermooxylic Polymers (Part II)

Authors

  • A.Kh. Janahmadov National Aviation Academy of Azerbaijan (Mardakan ave. 30, Baku, AZ1045, Azerbaijan)
  • O.A. Dyshin SRI "Geotechnological problems of oil, gas and chemistry" (D. Aliyeva st. 227, Baku, AZ1010, Azerbaijan)
  • I.A. Habibov Azerbaijan State University of Oil and Industry (Azadlig ave, 16/21, Baku, AZ 1010, Azerbaijan)
  • S.A. Agamamedova Azerbaijan State University of Oil and Industry (Azadlig ave, 16/21, Baku, AZ 1010, Azerbaijan)
  • I.S. Gasanzade Azerbaijan State University of Oil and Industry (Azadlig ave, 16/21, Baku, AZ 1010, Azerbaijan)

DOI:

https://doi.org/10.52171/2076-0515_2021_13_03_7_17

Keywords:

fractal size of polymer, thermo-oxidation destruction of polymer, volume of reaction system, polycondensation method, order of oxidation reaction, auto-slow and auto-accelerated type of fractional reaction, critical value of fractal dimension of polymer

Abstract

To describe the kinetic curves of thermo-oxidation failure, the differential equations of fractional order with the right-hand side, depending on the order of oxidation reaction, are proposed. It is shown that thermal oxidation destruction is possible only in the case of the fractal structure of the polymer. For the kinetic curves such as autoslow as well as auto-accelerated type, the order of derivate in equation is coincide with the fraction of conserved part of the macromolecular polymer coil.

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Published

2021-09-30

How to Cite

Janahmadov, A., Dyshin, O., Habibov, I., Agamamedova, S., & Gasanzade, I. (2021). Application of Fractional Derivatives for Description of Kinetic Curvature of Thermooxylic Polymers (Part II). Herald of Azerbaijan Engineering Academy, 13(3), 7–17. https://doi.org/10.52171/2076-0515_2021_13_03_7_17

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