The drag force of yarn in the air flow is one of important factors for analysing the production of the yarn. However it is not so simple as for the smooth cylinder.
In this paper, the air drag in the normal direction to the spun cotton yarn and the acetate filament yarn were measured. In this experiment the air flow in 5 to 30m/s was applied in the wind tunnel and the following results were obtained.
In the first, for expressing the air drag in terms of the air speed, an experimental formula,
A=
kVn, was assumed, where
A (g/cm) is the air drag per unit length,
V (m/s) is the air speed and
k and
n are constants. Results show that
n is related to the structure of the yarn and
k is related to the yarn diameter. Values,
n, are found to be about 1.76 for the cotton spun yarn and 1.98 for the low twisted acetate filament yarn, respectively.
In the second, the ratio of the effective diameter
D, to the projective diameter
D0 was examined.
D of a yarn was determined by measuring the diameter of a nylon mono-filament fibre which had the same air drag with that of the yarn at the same air speed. For the cotton spun yarn, the ratio
D/
D0, is about 1.5 to 2 and decreases as the air speed increases. For the low twisted acetate filament yarn, the ratio is about 1.2 to 1.6 and increases as the air speed increases. However, for the highly twisted acetate filament yarn, the ratio is about 1.
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