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Stochastic Fibre Networks
Authors

S. Yang
Organization: Department of Chemical Engineering, University of Toronto
C. T. J. Dodson
Organization: Department of Mathematics, University of Toronto
Old MathSource #

0206-637
Revision date

1994-04-27
Description

This notebook arose from research on the statistical geometry of stochastic fibre networks. Quite a lot of theory exists for the purely random case, based on a Poisson process, but little has been done for the non-random case when the fibres aggregate. Here we use CRAY-generated aggregation data and animate a sequence of networks passing through random dispersed and aggregated phases. The work on aggregation has applications in many industrial processes, for a discussion of the modelling of paper see the book by M. Deng and C.T.J. Dodson, "Paper: An Engineered Stochastic Structure" Tappi Press, Atlanta 1994. Reprinted from 1994 Mathematica Developers Conference, Champaign, Illinois.
Subjects

*Engineering
*Mathematics > Discrete Mathematics > Graph Theory
Keywords

Industrial Engineering, Applications, paper production, physical modelling, graphics animation, applied mathematics, stochastic fibre networks, stochastic fiber networks, mathlink, random network, flocculated network, dispersed network
Downloads Download Wolfram CDF Player

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DispersedStructure.dat (89.8 KB) - Data file of the coordinates of fibre centers for the dispersed fibre network
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FlocculatedStructure.dat (89.8 KB) - Data file of the coordinates of fibre centers for the flloculated fibre network
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Localarealdensity.c (6.3 KB) - External C program
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Localarealdensity.tm (372 B) - Template file for Localarealdensity.c
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RandomStructure.dat (89.8 KB) - Data file of the coordinates of fibre centers for the random fibre network
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StochsticFibres.nb (7.6 MB) - Mathematica notebook
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datafile (68 B) - Text file containing the name of data files

Files specific to Mathematica 2.2 version:
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StochsticFibres.ma (4.5 MB) - Mathematica notebook