THEORY OF THE STEADY-STATE MULTI-FILAMENT MELT SPINNING

Mono filament melt spinning theory has been already established and widely used for computer simulation. In the industrial melt spinning process, however, the multi-filament melt spinning is performed. One of the most important points in the multi-filament melt spinning is how to reduce irregularities between the filaments. To solve this problem, it will be necessary to establish the theory of multi-filament melt spinning and use it effectively. In the multi-filament process, the cooling conditions must be described in terms of those of the ambient air surrounding each filament. Under several assumptions such as non-compressibility of air, the functions based on the heat and mass balances of cooling air were introduced. The wellknown Sakiadis' function for the air flow growing with running filament is not appropriate to use because it lacks the take-up speed dependence. In the present study, linear relation between the above-mentioned air flow and the take-up speed was considered, and its coefficient was determined using the results of experiments and theory. Applying these functions to the steady-state mono filament melt spinning theory, we established the steady-state multi-filament melt spinning theory.