THE STRUCTURAL CHARACTERISATION OF FIBRE NETWORKS IN PAPERMAKING PROCESSES - A REVIEW

The literature concerning the structure of two- and threedimensional fibre networks is reviewed. Emphasis is placed on the literature concerning such networks in papermaking processes, though examples are drawn from other systems. The propensity of a suspension to flocculate is considered from a theoretical viewpoint. The experimental techniques and structural descriptors applied in the characterisation of fibre networks are discussed. Theoretical studies of random networks are presented along with their use as reference structures and comparison is made between the main techniques used in the structural characterisation of essentially two-dimensional networks such as paper. The relationships between the distributions of mass and voids are examined and the dependence of sheet nonuniformity on that of the suspension from which it is formed is reviewed.

[1]  M. Steen Modeling fiber flocculation in turbulent flow : a numerical study , 1991 .

[2]  R. J. Kerekes,et al.  Characterization of fibre flocculation regimes by a crowding factor , 1992 .

[3]  Jacob Scharcanski,et al.  Local spatial anisotropy and its variability , 1999 .

[4]  T. Cresson,et al.  Description of the spatial gray level dependence method algorithm , 1990 .

[5]  M. J. Hourani,et al.  Fiber flocculation in pulp suspension flow. II: Experimental results , 1988 .

[6]  C. Dodson,et al.  Hydrodynamic smoothing in the sheet forming process , 1995 .

[7]  H. Corte Bestimmung der Porengrößenverteilung in Papier , 1965 .

[8]  M. Deng,et al.  Random star patterns and paper formation , 1994 .

[9]  J. Lewalle,et al.  Analysis of paper variability using the continuous wavelet transform , 1999 .

[10]  K. Niskanen DISTRIBUTION OF FIBRE ORIENTATIONS IN PAPER , 2003 .

[11]  William W. Sampson,et al.  Modeling a class of stochastic porous media , 1997 .

[12]  D. Tollenaar,et al.  The structure of paper , 1951 .

[13]  V. Luchnikov,et al.  Voronoi-Delaunay analysis of voids in systems of nonspherical particles. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Per-Åke Johansson Optical Homogeneity of Prints , 1999 .

[15]  R. Seth Fibre Quality Factors in Papermaking — II The Importance of Fibre Coarseness , 1990 .

[16]  Patrick A.C. Gane,et al.  Void Space Structure of Compressible Polymer Spheres and Consolidated Calcium Carbonate Paper-Coating Formulations , 1996 .

[17]  Richard H. Grant,et al.  The effect of drainage on randomly formed papers: a simulation study , 1986 .

[18]  Theodore E. Farrington Soft x-ray imaging can be used to assess sheet formation and quality , 1988 .

[19]  Mikko J. Alava,et al.  POROUS STRUCTURE OF THICK FIBER WEBS , 1997 .

[20]  R. J. Kerekes,et al.  The Flocculation of Pulp Fibres , 1985, Trans. of the VIIIth Fund. Res. Symp. Oxford, 1985.

[21]  Ning Pan,et al.  A Modified Analysis of the Microstructural Characteristics of General Fiber Assemblies , 1993 .

[22]  Christopher T. J. Dodson,et al.  Estimation of intra-floc forces , 1994 .

[23]  T. Lindström,et al.  Kinetics of polymer-induced flocculation of cellulosic fibers in turbulent flow , 1987 .

[24]  J. F. Waterhouse,et al.  Effect of papermaking variables on formation , 1993 .

[25]  H. Paulapuro,et al.  The Role of Fourdrinier Table Activity in the Manufacture of Various Paper and Board Grades , 1992 .

[26]  Douglas Wahren PROPOSED DEFINITIONS OF SOME BASIC PAPERMAKING TERMS , 1967 .

[27]  R. J. Trepanier,et al.  Specific perimeter : a statistic for assessing formation and print quality by image analysis , 1998 .

[28]  E. Hellén,et al.  KCL-PAKKA: Simulation of the 3D structure of paper in: The fundamentals of papermaking materials , 1997 .

[29]  T. Cresson,et al.  The characterization of paper formation. II: The texture analysis of paper formation , 1990 .

[30]  Luciano Beghello,et al.  Some mechanisms that govern fiber flocculation , 1997 .

[31]  C. T. J. Dodson A rational approach to formation analysis and spreadsheet schema for data interpretation , 1993 .

[32]  H. W. Piekaar,et al.  Aerosol filters—Pore size distribution in fibrous filters , 1967 .

[33]  C. T. J. Dodson,et al.  The effect of fibre orientation on paper formation , 1991 .

[34]  T. Yamauchi,et al.  Pore structural organization and behaviour during the consolidation of TMP paper webs , 1988 .

[35]  C. Dodson,et al.  Spatial Statistics of Stochastic Fiber Networks , 1999 .

[36]  Luciano Beghello,et al.  Some factors that influence fiber flocculation , 1998 .

[37]  R. E. Mark,et al.  Handbook of physical and mechanical testing of paper and paperboard , 1983 .

[38]  P. Luner,et al.  Characterization of paper formation. I, Sensing paper formation , 1990 .

[39]  J.-P. Bernie,et al.  Local grammage distribution and formation of paper by light transmission image analysis , 1996 .

[40]  O. J. Kallmes,et al.  Statistical Geometry of a Fibrous Network , 1962 .

[41]  Martin Ostoja-Starzewski,et al.  Particle sieving in a random fiber network , 2000 .

[42]  OVERVIEW OF THE PHYSICS OF FORMING , 2003 .

[43]  B. Norman Hydrodynamic developments in twin-wire forming : an overview , 1996 .

[45]  W. Sampson Comments on the pore radius distribution in near-planar stochastic fibre networks , 2001 .

[46]  William W. Sampson,et al.  The effect of paper formation and grammage on its pore size distribution , 1996 .

[47]  Peter R. Johnston,et al.  Revisiting the most probable pore-size distribution in filter media: The gamma distribution , 1998 .

[48]  J. Scharcanski,et al.  A new simulator for paper forming using neural network methods , 1995 .

[49]  T. Komori,et al.  Numbers of Fiber-to-Fiber Contacts in General Fiber Assemblies , 1977 .

[50]  C. Dodson Spatial Variability and the Theory of Sampling in Random Fibrous Networks , 1971 .

[51]  Rl Meltzer,et al.  The Most Probable Pore-Size Distribution in Fluid Filter Media II. Determining the Size of the Average Pore from Fluid Permeability Measurements , 1983 .

[52]  Per-Åke Johansson,et al.  Method for the local determination of the thickness and density of papera , 1992 .

[53]  C. Dodson,et al.  Modeling stochastic fibre clumps , 1999 .

[54]  R. Seth Fibre Quality Factors in Papermaking — I The Importance of Fibre Length and Strength , 1990 .

[55]  C. Dodson,et al.  Bivariate Normal Thickness-Density Structure in Real Near-Planar Stochastic Fiber Networks , 2001 .

[56]  C. Dodson,et al.  Texture image analysis for paper anisotropy and its variability , 1996 .

[57]  C. Schaffnit,et al.  Flocculation and orientation effects on paper-formation statistics , 1992 .

[58]  B. Pourdeyhimi,et al.  A Note on the Effect of Fiber Diameter, Fiber Crimp and Fiber Orientation on Pore Size in thin Webs , 2000 .

[59]  P. A. Boeckerman Meeting the special requirements for on-line basis weight measurement of lightweight nonwoven fabrics , 1992 .

[60]  R E Miles RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE. , 1964, Proceedings of the National Academy of Sciences of the United States of America.

[61]  P. Luner,et al.  THE CHARACTERIZATION OF PAPER FORMATION. III, THE USE OF TEXTURE MAPS TO DESCRIBE PAPER FORMATION , 1991 .

[62]  P. Luner,et al.  Wavelet analysis of simulated paper formation , 1999 .

[63]  A. Philipse,et al.  Sphere caging by a random fibre network , 1999 .

[64]  Agne Swerin,et al.  SOME ASPECTS OF RETENTION AIDS , 2003 .

[65]  C. Dodson,et al.  On the distributions of mass, thickness and density in paper. , 2001 .

[66]  Ning Pan,et al.  Fiber Contact in Fiber Assemblies , 1995 .

[67]  Douglas. Wahren,et al.  QUALITY COMPARISONS OF TWIN-WIRE AND FOURDRINIER PAPERS , 1986 .

[68]  C. Schaffnit,et al.  A new analysis of fibre orientation effect on paper formation , 1994 .

[69]  Takashi Komori,et al.  A Modified Theory of Fiber Contact in General Fiber Assemblies , 1994 .

[70]  S. Shaler,et al.  Computer-simulated three-dimensional microstructure of wood fibre composite materials , 1998 .

[71]  Kenneth E. Evans,et al.  Prediction of the maximum packing fraction achievable in randomly oriented short-fibre composites , 1986 .

[72]  Staffan Toll,et al.  Packing mechanics of fiber reinforcements , 1998 .

[73]  A. Kelly,et al.  The random packing of fibres in three dimensions , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[74]  C. J. Dodson The effect of fibre length distribution on formation , 1992 .

[75]  Daijin Kim,et al.  Comparison of four paper imaging techniques : β-radiography, electrography, light transmission, and soft X-radiography , 1991 .

[76]  C. M. van Wyk,et al.  20—NOTE ON THE COMPRESSIBILITY OF WOOL , 1946 .

[77]  Mouade Bouydain,et al.  Using wavelets to determine paper formation by light transmission image analysis , 1999 .

[78]  R. J. Kerekes,et al.  Effects of fiber length and coarseness on pulp flocculation , 1995 .

[79]  O. J. Kallmes The measurement of formation , 1984 .

[80]  C. Dodson,et al.  Fiber crowding, fiber contacts, and fiber flocculation. , 1996 .

[81]  Gary A. Baum,et al.  A rubber platen caliper gage - a new concept in measuring paper thickness , 1983 .

[82]  R. Santini,et al.  Experimental study of the porosity of loose stacks of stiff cylindrical fibres: Influence of the aspect ratio of fibres , 2000 .

[83]  William W. Sampson,et al.  The effect of fiber length distribution on suspension crowding. , 2001 .