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Mathematical Modeling of Polymer Loading Process in Extruders
K. Zelensky1, Ev. Nastenko2, V. Bolhovitin3, O. Pavlov4

1K. Zelensky*, Associate Professor, Department of Biomedical Cybernetics, National Polytechnic University, Ukraine.
2Evgen Nastenko, Senior Researcher, Department of Biomedical Cybernetics, National Polytechnic University, Ukraine.
3V. Bolhovitin, Lecturer, Department of Computer Systems and Networks, Institute of Computer Technology of the University, Ukraine.
4A. Pavlov., Senior Lecturer, Department of Computer Science, National Technical University, Ukraine.
Manuscript received on January 19, 2020. | Revised Manuscript received on February 05, 2020. | Manuscript published on February 30, 2020. | PP: 4405-4411 | Volume-9 Issue-3, February 2020. | Retrieval Number:  C6473029320/2020©BEIESP | DOI: 10.35940/ijeat.C6473.029320
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: Based on the state of the problem related to highquality and reliable insulation coating of high-voltage cables, the problems of mathematical modeling of pro-cesses in the loading zone and the delay of the polymer mixture in a single-screw extruder are formulated, which is crucial in terms of providing a high-quality insulation coating. An iterative numerical-analytical method for solving the corresponding nonlinear boundary value problems is proposed, based on the use of finite integral transformations in the spatial and temporal domains and their implementation.
Keywords: Bessel functions, Extruder, Integral transformations, Mathematical model, Numerical-analytical method, Navier-Stokes equation, Polymer, Screw.