Spatial statistics of stochastic fibre networks

نویسندگان

  • C.T.J. Dodson
  • W. W. Sampson
چکیده

From the known statistics of fibre-fibre contacts in random fibre networks, an analytic estimate is obtained for the variance of local porosity in random fibre suspensions and evolving filtrate networks. The variance of local porosity, and hence the distribution of projected areal density, seems to depend on fibre geometry only through the cube of mean diameter. Also, the coefficient of variation of local flow rate perpendicular to the plane of the pad is, to a first approximation, independent of the mode of flow. Analytic estimates are obtained also for the effect of fibre clumping on the variance of local porosity of pads for small inspection zones.

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تاریخ انتشار 1999