SIMULATION OF KINETIC CURVES OF THERMO-OXIDATIVE DESTRUCTION OF PROLIMERS USING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
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- Published: Monday, 07 June 2021 19:28
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Volume 7 (3), June 2021, Pages 53-63
1Oleq Dyshin, 2Ibrahim Habibov, 3Camaladdin Aslanov,
4Sevda Aghammadova, 5Irada Hasanzada
1 Senior Researcher, Research Institute "Geotechnological Problems of Oil, Gas and Chemistry", Azerbaijan.
3,4,5Dosent, Azerbaijan State Oil and Industry University, Candidate of technical sciences, Azerbaijan.
In the paper it is proposed to consider fractal kinetics equations for process of thermo-oxidative destruction of melt polymers in the form of differential equations of fractional order, equaling to fraction of reactant groups of polymer, which are not subjected to destruction, with order of reaction n > 1. Small νd characterize the autoslowed-down type of reaction, and at big νd <1 - the autoaccelerated thermooxidation type with an decreasing speed of oxidation reaction, respectively much more smaller and close to an integer derivative on time of the first order.
Comparative analysis of calculation results with corresponding results obtained by differential equations of integer order and degree of their matching with experimental data is given.
Keywords: Fractal analysis, thermo-oxidative destruction, auto-slow and auto-accelerated type of thermal oxidation, differential equations of type and fractional orders.