Proved that mean pore diameter of nonwoven fabric dp is independent of fibre diameter d and dependent on fibre length l.
Assume all fibers were randomly deposited in an elementary plane then prove that the mean pore diameter of the nonwoven fabric d p is independent of fiber diameter and dependent on fiber length l. Fig: randomly oriented fibres questionsoftextileblog Know textile Let the fibers be distributed randomly in an elementary plan of unit area and the probability of n fibers that present per unit area is given by Poisson distribution P(n) = e -c * c n / n! , where c is total projected area fibres per unit area of the plane (total coverage). Evendently, c=nld, where l= fibre lingth and d=fibre width (diameter) The fraction of area covered by one fibre is: P(0) = e -c = ξ -----------(i) Clearly, (1-ξ ) is the fraction of the unit area covered by fibres. The total area A c occupied by all fibres croosing per unit area of the plane is: A c = ∑ n=2 n→∝ (n-1)P(n) = ∑ n=2 n→∝ (n-1) e -c * c n / n! = e -c [ c 2 / 2! ...