Air permeability is studied for fiber assemblies of low volume fraction between 0.01 and 0.1, In this range of volume fraction, the viscous resistance per unit surface of constituent fibers is known to enhanced, which is attributabre to the fact that for cylindrical fibers, the cross section of pores through which air flows are in open geometry. An approximate formula describing this effect is derived by assuning idealized arrangement of fibers in an equally-spaced lattice. It is compared with the experimental results for the fiber assemblies of wool slivers, of polyester, and of polyester tops to investigate the dependence of air permeability on the fiber properties, the fiber arrangement, and the volume fraction. In addition, the thermal transmittance through the sample fiber assembly and air layer is measured and the influence of air passage is discussed for fiber assemblies of polyester tops.
The conclusions are summarized as follows :
(1) With aid of the derived formula, the air resistance of fiber assemblies can be calculated from the Kozeny's expression in the range of the volume fraction of interest here. The experiments give the results by 4070% smaller than predicted from the theoretical estimate. This is explained by the fact that in actual assemblies, fibers are not in the assumed idealized alignment and made in partial contact with each other.
(2) In evaluating the air resistance, the degree of contact between fibers is an important factor, which is affected by the properties of fibers. Assemblies of wool slivers exhibit the air resistance by a factor of 1.32 larger than those of polyester slivers of same diameter and of the same volume fraction. This is attributable to the crimps of wool which lower the degree of contact between fibers. Assemblies of polyester tops show larger air resistance than those of polyester slivers when the volume fraction is low, which is also explicable as the same effect.
(3) As for the other parameters such as the fiber diameters and the arrangements, the assemblies of low volume fraction studied show the same dependences of air resistance on them as those of large volume fraction.
(4) The effect of air passage on the thermal insulation of fiber assemblies depends on the wind velocity in environment and dominates over the heat transmittance if wind velocity is greater than1 ms
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