Stabilization is one of the expensive and critical steps in the manufacture of carbon fibers. It involves complex chemical reactions and physical structure changes. Modeling and simulation are successfully utilized in order to know the stabilization behavior and minimize the cost of experimental tests. In this work a mathematical model of stabilization step is presented for a polyacrylonitrile strip. Differential equations describe the chemical reactions, oxygen diffusion and heat transfer occurring inside the strip. They are resolved by Orthogonal Collocation and Semi implicit Runge - Kutta Method. The results of temperatures and concentrations profiles as a function of the stabilization time are analyzed and compared with a simulation obtained for a bundle of polyacrylonitrile fibers. This investigation indicates that heat transfer in the strip is better than in the bundle and consequently the exothermic reactions are controlled.
Polyacrylonitrile fiber; thermo-oxidative stabilization; mathematical model
