Force Analysis on Spinning Line in Wet Forming – Part 2: Radial Stress Analysis on Spinning Line

Radial Stress Analysis on Spinning Line

1.     Radial stress distribution on spinning line

(a)   The viscosity changes continuously along the radial direction;

(b)   Viscosity is constant along the radial direction;

(c)   Stretching viscosity has two fixed values in the skin-core structure.

1)     The viscosity changes continuously along the radial direction

σ_xx^(γ·x) is a function of both x and r;

R_(x): The radius of the spinning line at x.

2)     Viscosity is constant along the radial direction

3)     Stretching viscosity has two fixed values in the skin-core structure

Set: skin extensional viscosity to be (η_e)_s ; core extensional viscosity to be (η_e)_c. Both are constants.

Tensile Stress is:

Conclusion:

1.     The tension on the filament is actually completely borne and transmitted by the skin layer. The core layer in the flowing state is basically in a relaxed state, and the tension is small but sufficient to orient the skin layer.

2.     The tensile stress σ_xx.s^(x) on the skin layer at x decreases monotonously along the spinning line, and the skin layer is the thinnest near the spinneret, and the stress reaches the limit value. Therefore, the breakage of wet-spinning filaments often occurs near the spinneret. In order to prevent excessive tension, spinneret negative stretch or small positive stretch is often used in wet spinning

3.    

This shows that the thicker the skin-layer of finished filament and the smaller the core-layer, the greater the winding tension. The finished filament has higher physical and mechanical performance.