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When a stream of air is passed through a plug of fibres, the rate of air-flow depends on the dimensions of the plug, the total mass of fibres in the plug, the arrangement of the fibres, and on the average specific surface of the fibres in the plug. Kozeny’s equation connecting air-flow to all the relevant parameters is complicated. However, the relation between air-flow to all the relevant parameters is complicated. However, the relation between air-flow and specific surface can be written in a simple way in the form :
V = K (P/s2)
Where (V) is the volume rate of flow of air through the plur, (s) is the specific surface, (P) is the pressure difference between the incoming and out going air, and (k) is the quantity which includes all the other parameters mentioned above. When these parameters are held constant, the volume rate of air-flow per unit pressure difference is a measure of the specific surface.
For solid man-made fibres, the specific surface is directly related to its denier or fineness, whereas for cotton fibres, which contain a lumen, it is related to both the Fineness and the Maturity of the fibres. However, it has been observed that for cotton fibres, it is possible to get independent estimates of fineness and maturity from the knowledge of the pressure difference (P) measured at two different compression levels7. This procedure, which is discussed below in detail, has been adopted for the work.
Air at a constant pressure (approximately 12.3 cm height of kerosene) is successively passed through an adjustable orifice (needle value) and through a plug of well opened cotton fibres having a fixed mass of 4 gms. This plug of fibres offers a resistance to the air-flow. As a result, some air pressure is built up across the plug. This pressure is measured by means of a manometer.
The manometer readings corresponding to the lower compression level of the fibre plugs have been correlated with the Micronaire valves of the fibres supplied by the United States Department of Agriculture (USDA), whereas readings corresponding to the lower and the higher compression levels of the fibre plugs have been correlated with both the gravimetric fineness (H) and the percent maturity (Pm) (caustic swelling method – ASTM) of the fibres. |