Abstract
Nearly all the textile synthetic fibres now available are industrially produced by bringing a spinnable material into liquid state, molten or concentrated solution, and forcing it through a small die to form a free liquid jet at the exit. This solidifies as it proceeds along the spinning path and the solid fibre is collected on a rotating drum. Solidification is due to cooling in the melt spinning, to evaporation of solvent in the dry spinning or to precipitation of polymer from solution in wet-spinning.
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Abbreviations
- F r :
-
Froude number U 2 0/gR 0 with g acceleration gravity (cm/sec2)
- N u :
-
Nusselt’ number 2Rh/Ka with h heat transfer coefficient (cal/cm2 sec °C) and Ka air thermal conductivity (cal/cm sec °C) around the forming fibre
- Q :
-
Volume rate of flow (cm3/sec)
- r :
-
Radial distance from the central axis of the fibre (cm)
- R :
-
Cross section radius of the fibre (cm)
- R 0 :
-
Inside diameter of the nozzle (cm)
- t :
-
Quenching time (sec)
- T a T s :
-
Temperature of fibre at the centre (°C)
- T i :
-
Initial temperature at the distance x = 0 (°C)
- T o :
-
Mean value of temperature of air surrounding the forming fibre (°C)
- U 0 :
-
Mean value of velocity of glass at x = 0 (cm/sec)
- V :
-
Local velocity of fibre in the axial direction (cm/sec)
- x :
-
Axial distance of the fibre from the nozzle exit (cm/sec)
- W :
-
Weight rate of flow (g/minute)
- W e :
-
Weber number ϱ U 2 0 R 0/α
- α:
-
Glass surface tension (dynes/cm)
- φ:
-
Angle between the fibre axis and the tangent to the fibre surface in the r, x plane (radiant).
- v :
-
Air kinematic viscosity (cm2/sec)
- ϱ:
-
Glass density (g/cm3)
- η:
-
Glass viscosity (poises)
- ηi :
-
Glass viscosity at T t.
- τ:
-
Maxwell relaxation time η/G (sec) with G (dynes/cm2) elastic shear modulus of glass
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© 1975 Springer-Verlag Berlin Heidelberg
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Manfrè, G. (1975). Rheology on the drawing zone in glass spinning. In: Vallet, G., Meskat, W. (eds) Rheological Theories · Measuring Techniques in Rheology Test Methods in Rheology · Fractures Rheological Properties of Materials · Rheo-Optics · Biorheology. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-662-41458-3_44
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DOI: https://doi.org/10.1007/978-3-662-41458-3_44
Publisher Name: Steinkopff, Heidelberg
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