Studies on melt spinning. I. Fundamental equations on the dynamics of melt spinning

The dynamics of melt spinning was analyzed by deriving a set of simultaneous partial differential equations. Equation of heat balance: Equation of force balance: Equation of material balance: In the above equations, the distance x from the spinneret and time τ are the independent variables; temperature t, local velocity v, and cross‐sectional area A are the dependent variables. It is assumed that tensile viscosity β is a function of temperature t alone, and the spinning tension F is a pure time function. Steady‐state (∂/∂τ = 0) solutions of the above equations showed a fairly good agreement with the experimentally measured values of temperature t(x) and thickness A(x).