A one-dimensional equation of motion was obtained by formulating assumptions and averaging over the radius of the Navier—Stokes equation in a cylindrical coordinate system. Forces were estimated quantitatively. The contribution of each force was plotted as a distribution along the spinning axis. A simplified mathematical model that did not consider forces with small contributions was proposed based on the estimated forces. Satisfactory results were obtained by comparing it with a full model. Algorithms for selecting the boundary conditions of the kinematic-equation solution and verifying numerical solutions of the system for computing the fiber velocity and temperature were proposed and described briefly.
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Translated from Khimicheskie Volokna, No. 2, pp. 17-20, March—April, 2016.
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Kalabin, A.L., Udalov, E.V. Estimated Force Contributions in a Reduced Melt-Spinning Model for Chemical Fibers. Fibre Chem 48, 109–113 (2016). https://doi.org/10.1007/s10692-016-9751-0
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DOI: https://doi.org/10.1007/s10692-016-9751-0