Spatial statistics of stochastic fibre networks
نویسندگان
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.
منابع مشابه
Dimensionality Reduction for Classification of Stochastic Fibre Radiographs
Dimensionality reduction helps to identify small numbers of essential features of stochastic fibre networks for classification of image pixel density datasets from experimental radiographic measurements of commercial samples and simulations. Typical commercial macro-fibre networks use finite length fibres suspended in a fluid from which they are continuously deposited onto a moving bed to make ...
متن کاملPlanar line processes for void and density statistics in thin stochastic fibre networks
Using results for the distribution of perimeters of random polygons arising from random lines in a plane, we obtain new analytic approximations to the distributions of areas and local line densities for random polygons and compute various limiting properties of random polygons. Using simulation, we show that the lengths of adjacent sides of polygons generated by random line processes in the pla...
متن کاملRobust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays
In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...
متن کاملA special Class of Stochastic PERT Networks
Considering the network structure is one of the new approaches in studying stochastic PERT networks (SPN). In this paper, planar networks are studied as a special class of networks. Two structural reducible mechanisms titled arc contraction and deletion are developed to convert any planar network to a series-parallel network structure.
In series-parallel SPN, the completion time distribution...
متن کاملType of the Paper (Article
Ryan Cunningham 1, *, María B Sánchez 1, Greg May 1, and Ian Loram 1, * 6 1 School of Healthcare Science, Manchester Metropolitan University, Manchester, England, UK 7 * Correspondence: [email protected], [email protected] 8 9 Abstract: This paper presents an investigation into the feasibility of using deep learning methods for 10 developing arbitrary full spatial resolution regression ...
متن کامل