Estimated Force Contributions in a Reduced Melt-Spinning Model for Chemical Fibers

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.