Studies on Melt Spinning of Sheath-Core Bicomponent Fibers:Fundamental Equations on the Dynamics of Melt Spinning

An attempt was made to numerically compute the temperature profile within the melt spinning of sheath-core bicomponent fibers by deriving a set of simultaneous partial differential equations. The effects of acceleration, gravity, and air friction on the kinetics of the polymer were included and the upper-convected Maxwell model as the constitutive equation was adopted in this model. The sheath-core bicomponent fibers were partitioned into a serial of circular cross section and it is assumed that each circular cross section has a temperature gradient while conducting the equation of energy balance. A mathematical model was developed to describe the melt spinning of sheath-core bicomponent fibers.