Unified theory for structural statistics of flocculated and random fibre networks

Journal of Pulp and Paper Science

Volumn 34, Issue 2, 2008, Pages 91-98

  Sampson, W W ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Fiber networks; Flocculation; Homogeneity; Paper sheets; Paper structure; Parameters; Theories

Indexed keywords

FIBER OPTIC NETWORKS; FIBERS; FLOCCULATION; POISSON DISTRIBUTION; PORE SIZE; PROBABILITY DISTRIBUTIONS;

FIBER NETWORKS; HOMOGENEITY; PAPER SHEETS; PARAMETERS; THEORIES;

PAPER SHEETING;

EID: 56549107793     PISSN: 08266220     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. O. KALLMES and H. CORTE, The structure of paper, I. The statistical geometry of an ideal two dimensional fiber network. Tappi J. 43(9):737-752, 1960. Errata: 44(6):448 (1961).
2. O. KALLMES, H. CORTE and G. BERNIER. The structure of paper, V. The bonding states of fibres in randomly formed papers. Tappi J. 46(8):493-502 (1963).
3. W.W. SAMPSON. The statistical geometry of fractional contact area in random fibre networks J. Pulp Paper Sci. 29(12):412-416 (2004).
4. R.M. SOSZYŃSKI. Relative bonded area - A different approach. Nord. Pulp Pap. Res. J. 10(2): 150 (1995).
5. R.M. SOSZYŃSKI. Contact area development in three-dimensional models of paper. In proc. 83rd Annual Meeting CPPA., Montreal, Canada, A15-A16 (1997).
6. W.W. SAMPSON and J. SIRVIÖ. The statistics of inter-fibre contact in random fibre networks. J. Pulp Paper Sci. 31(3):127-131 (2005).
7. S.J. I'ANSON and W.W. SAMPSON. Competing Weibull and stress-transfer influences on the specific tensile strength of a bonded fibrous network. Compos. Sci. Tech. 67(7):1650-1658, (2007).
8. M. DENG AND C.T.J. DODSON. "An Engineered Stochastic Structure" Tappi Press, Atlanta (1994).
9. W.W. SAMPSON. "The structural characterisation of fibre networks in papermaking processes - A review" In The Science of Papermaking, Trans. XIIth Fund. Res. Symp. (ed. C.F. Baker), Pulp and Paper Fund. Res. Soc., Bury, 1205-1288 (2001).
10. H. CORTE. Formation and the distribution of mass density in paper. The Paper Maker Intl. 81-85 (1971).
11. C.T.J. DODSON and C. SCHAFFNIT. Flocculation and orientation effects on paper-formation statistics. Tappi J. 75(1):167-171 (1992).
12. M. DENG and C.T.J. DODSON. Random star patterns and paper formation. Tappi J. 77(3):195-199(1994).
13. A. KTVIRANTA and C.T.J. DODSON. Evaluating Fourdrinier formation performance. J. Pulp Paper Sci. 21(11):379-383 (1995).
14. R.J. KEREKES and C.J. SCHELL. Characterisation of fibre flocculation regimes by a crowding factor. J. Pulp Pap. Sci. 18(1):32-38 (1992).
15. C.B. EDWARDS and J. GURLAND. A class of distributions applicable to accidents. J. American Stat. Ass. 56(295): 503-517 (1961).
16. V. RAMAKRISHNAN and D. MEETER. Negative binomial cross-tabulations, with applications to abundance data. Biometrics 49(1):195-207 (1993).
17. D.J. CROTON, M. COLLESS, E. GAZTAÑA-GA, C.M. BAUGH, P. NORBERG, I.K. BALDRY, J. BLAND-HAWTHORN, T. BRIDGES, R. CANNON, S. COLE, C. COLLINS, W. COUCH, G. DALTON, R. DE PROPRIS, S.P. DRIVER, G. EFSTATHIOU, R.S. ELLIS, C.S. FRENK, K. GLAZEBROOK, C. JACKSON, O. LAHAV, I. LEWIS, S. LUMSDEN, S. MADDOX, D. MADGWICK, J.A. PEACOCK, B A. PETERSON, W. SUTHERLAND AND K. TAYLOR. The 2dF galaxy redshift survey: voids and hierarchical scaling models. Month. Not. Roy. Astron. Soc. 352(3):828-836, (2004).
18. N. WISEMAN. Pinholes - A problem waiting to be found. Appita J. 43(5):370-372 (1990).
19. P. MAURANEN. Paper machine for communication papers in the 1990's. Pap. ja Puu 72(4):321-332, 1990.
20. J.W. HARWOOD. A comparison of top wire formers. Pulp & Paper Can. 88(6): 123-129 (1987).
21. R. W. DENT. Inter-fiber distances in paper and nonwovens. J. Text. Inst. 92(1):63-74 (2001).
22. C.T.J. DODSON and W.W. SAMPSON. The effect of paper formation and grammage on its pore size distribution. J. Pulp Pap. Sci. 22(5):165-169 (1996).
23. H. CORTE and E.H. LLOYD. "Fluid flow through paper and sheet structure", In Consolidation of the Paper Web Trans. IIIrd Fund. Res. Symp. (F. Bolam, ed.), BPBMA, London, 981-1009 (1966).
24. C.T.J. DODSON, A.G. HANDLEY, Y. OBA and W.W. SAMPSON. The pore radius distribution in paper. Part I: The effect of formation and grammage. Appita J. 56(4):275-280 (2003).
25. C.T.J. DODSON and W.W. SAMPSON. "Effect of correlated free fibre lengths on pore size distribution in fibrous mats", In Advances in Paper Science and Technology. Trans. XIIIth Fund. Res. Symp. (S.J. I'Anson, ed.), FRC, Manchester, 943-960 (2005).
26. W.W. SAMPSON and S.J. URQUHART. The contribution of out-of-plane pore dimensions to the pore size distribution of paper and stochastic fibrous materials. In press, J. Porous Mat., 15(4):411-417 (2008).
27. R. HOLMSTAD. Methods for paper structure characterisation by means of image analysis. PhD Thesis, NTNU, Trondheim (2004).
28. C.T.J. DODSON, Y. OBA and W.W. SAMPSON. Bivariate normal thickness-density structure in real near-planar stochastic fibre networks. J. Stat. Phys. 102(1/2):345-353, (2001).