Journal of the Textile Machinery Society of Japan

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The drying the falling-rate period of drying is known to be approximately pro-portional to the moisture content W.
∂W/∂θ=-KW
where W: moisture content (kg water/kg dried fiber)
θ: time (min)
K : proportionality constant (1/min)
The author has found that K is a function of the temperature and humidity of drying air; and that ∂K/∂ω decreases at a rate proportional to R/G, where R is the drying rate, ∂W/∂θ and G is the mass velocity of dryingair (kg/m²). This relation is expressible thus by equation :
∂K/∂ω=J/G-∂W/∂θ
where J is a proportionality constant.
The two partial differential equations were integrated numerically with results which a greed well with experimental data.
The pressure drop across fiber layers cannot be represented by a single coefficient of resistance, becuause fiber layers are compressed in varying degrees by the applied air pressure.
The mean solid fraction (1-ε) in fiber layers compressed by air pressure was obtained from the compressional characteristics of fiber layers compressed by uniform pressure so as to modify the above-mentioned coefficient of resistance for the pressure drop. The coefficient of friction when divided by a certain power of (1-ε) is a relatively constant value.

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To measure the degree of fiber orientation (D.O.) in a sliver optically and continuously, the reflection of slivers has been studied theoretically. The D.O. has been defined from the mirror reflection on two planes, vertical and parallel to a sliver, and an example of calculation is given. The bearings which the fiber arrangement and the shape of the fiber cross-section have on the D.O. have been theoretically studied.

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