The coagulation process of PAN (poly(acrylonitrile))
wet-spinning was modeled and simulated
based on the numerical analysis of the coagulation of a viscous polymer
solution by diffusional
interchange with a bath. Experiments were performed with gelled
solutions of PAN in nitric
acid to determine the diffusion rate of solvent and nonsolvent (water)
during the coagulation.
The experimental data were analyzed by using equations of
diffusion coefficient which are a
function of the solvent concentrations of the coagulation bath and the
filament. The concentration
profile of solvent in moving filament was predicted by solving the
diffusion model equation
numerically. A simplex method was used in the computation of the
parameters of the diffusion
equations to minimize the difference between the numerical results and
experimental data.
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