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Erschienen in: Cellulose 6/2008

01.12.2008

Flocculation of cellulose fibre suspensions: the contribution of percolation and effective-medium theories

verfasst von: A. Celzard, V. Fierro, A. Pizzi

Erschienen in: Cellulose | Ausgabe 6/2008

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Abstract

The concept of crowding factor applied to the flocculation of cellulose fibres is revisited through the application of percolation and effective medium theories. It is shown that, even if the crowding factor allows predicting the critical concentration of fibre suspension above which flocculation occurs, and indeed leads to acceptable results in most cases, percolation and effective medium theories are most rigorous and much less empirical. Examples of calculation are given for fibres assumed to behave either like rigid rods or like elongated prolate ellipsoids, and compare very correctly with experimental measurements found in the literature. Finally, beyond the purely geometrical aspects, the roles of several physico-chemical parameters on the onset of flocculation are also discussed, and shown to be perfectly explained by percolation predictions.

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Literatur
Zurück zum Zitat Alon U, Balberg I, Drory A (1991) New, heuristic, percolation criterion for continuum systems. Phys Rev Lett 66:2879–2882CrossRef Alon U, Balberg I, Drory A (1991) New, heuristic, percolation criterion for continuum systems. Phys Rev Lett 66:2879–2882CrossRef
Zurück zum Zitat Balberg I (1985) Universal percolation-threshold limits in the continuum. Phys Rev B 31:4053–4055CrossRef Balberg I (1985) Universal percolation-threshold limits in the continuum. Phys Rev B 31:4053–4055CrossRef
Zurück zum Zitat Balberg I, Binenbaum N (1983) Percolation thresholds in the three dimensional sticks system. Phys Rev B 28:3799–3812CrossRef Balberg I, Binenbaum N (1983) Percolation thresholds in the three dimensional sticks system. Phys Rev B 28:3799–3812CrossRef
Zurück zum Zitat Balberg I, Binenbaum N (1987) Scher and Zallen criterion: applicability to composite systems. Phys Rev B 35:8749–8752CrossRef Balberg I, Binenbaum N (1987) Scher and Zallen criterion: applicability to composite systems. Phys Rev B 35:8749–8752CrossRef
Zurück zum Zitat Balberg I, Bozowski S (1982) Percolation in a composite of random stick-like conducting particles. Solid State Commun 44:551–554CrossRef Balberg I, Bozowski S (1982) Percolation in a composite of random stick-like conducting particles. Solid State Commun 44:551–554CrossRef
Zurück zum Zitat Balberg I, Anderson CH, Alexander S, Wagner N (1984) Excluded volume and its relation to the onset of percolation. Phys Rev B 30:3933–3943CrossRef Balberg I, Anderson CH, Alexander S, Wagner N (1984) Excluded volume and its relation to the onset of percolation. Phys Rev B 30:3933–3943CrossRef
Zurück zum Zitat Beghello L (1998) Some factors that influence fiber flocculation. Nordic Pulp Paper Res J 13:274–279CrossRef Beghello L (1998) Some factors that influence fiber flocculation. Nordic Pulp Paper Res J 13:274–279CrossRef
Zurück zum Zitat Beghello L, Eklund D (1997) Some mechanisms that govern fiber flocculation. Nordic Pulp Paper Res J 12:119–123CrossRef Beghello L, Eklund D (1997) Some mechanisms that govern fiber flocculation. Nordic Pulp Paper Res J 12:119–123CrossRef
Zurück zum Zitat Bug ALR, Safran SA, Grest GS, Webman I (1985) Do interactions raise or lower a percolation threshold? Phys Rev Lett 55:1896–1899CrossRef Bug ALR, Safran SA, Grest GS, Webman I (1985) Do interactions raise or lower a percolation threshold? Phys Rev Lett 55:1896–1899CrossRef
Zurück zum Zitat Celzard A (1995) PhD thesis, University Henri-Poincaré, Nancy 1 (France) Celzard A (1995) PhD thesis, University Henri-Poincaré, Nancy 1 (France)
Zurück zum Zitat Celzard A, Deleuze C, Dufort M, Furdin G, Marêché JF, McRae E (1996) On the critical concentration in percolating systems containing a high aspect ratio filler. Phys Rev B 53:6209–6214CrossRef Celzard A, Deleuze C, Dufort M, Furdin G, Marêché JF, McRae E (1996) On the critical concentration in percolating systems containing a high aspect ratio filler. Phys Rev B 53:6209–6214CrossRef
Zurück zum Zitat Celzard A, Marêché JF, Payot F (2000) Simple method for characterizing synthetic graphite powders. J Phys D Appl Phys 33:1556–1563CrossRef Celzard A, Marêché JF, Payot F (2000) Simple method for characterizing synthetic graphite powders. J Phys D Appl Phys 33:1556–1563CrossRef
Zurück zum Zitat Celzard A, Krzesiñska M, Marêché JF, Puricelli S (2001) Scalar and vectorial percolation in compressed expanded graphite. Physica A 294:283–294CrossRef Celzard A, Krzesiñska M, Marêché JF, Puricelli S (2001) Scalar and vectorial percolation in compressed expanded graphite. Physica A 294:283–294CrossRef
Zurück zum Zitat Celzard A, Marêché JF, Payot F, Furdin G (2002) Electrical conductivity of carbonaceous powders. Carbon 40:2801–2815CrossRef Celzard A, Marêché JF, Payot F, Furdin G (2002) Electrical conductivity of carbonaceous powders. Carbon 40:2801–2815CrossRef
Zurück zum Zitat Celzard A, Schneider S, Marêché JF (2002) Densification of expanded graphite. Carbon 40:2185–2191CrossRef Celzard A, Schneider S, Marêché JF (2002) Densification of expanded graphite. Carbon 40:2185–2191CrossRef
Zurück zum Zitat Celzard A, Marêché JF, Furdin G (2005) Modelling of exfoliated graphite. Prog Mater Sci 50:93–179CrossRef Celzard A, Marêché JF, Furdin G (2005) Modelling of exfoliated graphite. Prog Mater Sci 50:93–179CrossRef
Zurück zum Zitat Celzard A, Treusch O, Marêché JF, Wegener G (2005) Electrical and elastic properties of new monolithic wood-based carbon materials. J Mater Sci 40:63–70CrossRef Celzard A, Treusch O, Marêché JF, Wegener G (2005) Electrical and elastic properties of new monolithic wood-based carbon materials. J Mater Sci 40:63–70CrossRef
Zurück zum Zitat Celzard A, Fierro V, Pizzi A (2008) Physical gelation of water-borne thermosetting resins by percolation theory—urea-formaldehyde, melamine-urea-formaldehyde, and melamine-formaldehyde resins. J Polym Sci B Phys 46:971–978CrossRef Celzard A, Fierro V, Pizzi A (2008) Physical gelation of water-borne thermosetting resins by percolation theory—urea-formaldehyde, melamine-urea-formaldehyde, and melamine-formaldehyde resins. J Polym Sci B Phys 46:971–978CrossRef
Zurück zum Zitat Condon M (1996) Mechanical aspects of forming and formation. In: Proc TAPPI 1996 Papermakers Conference, TAPPI Press, Atlanta, pp 253–273 Condon M (1996) Mechanical aspects of forming and formation. In: Proc TAPPI 1996 Papermakers Conference, TAPPI Press, Atlanta, pp 253–273
Zurück zum Zitat de Gennes PG (1980) Percolation : quelques systèmes nouveaux. J Phys Colloq 41:C3-17–C3-26CrossRef de Gennes PG (1980) Percolation : quelques systèmes nouveaux. J Phys Colloq 41:C3-17–C3-26CrossRef
Zurück zum Zitat Dodson CTJ (1996) Fiber crowding, fiber contacts, and fiber flocculation. Tappi J 79:211–216 Dodson CTJ (1996) Fiber crowding, fiber contacts, and fiber flocculation. Tappi J 79:211–216
Zurück zum Zitat Egelhof D (1972) Flocculation in streaming fiber suspensions. Wochenbl Papierfabr 100:494–499 Egelhof D (1972) Flocculation in streaming fiber suspensions. Wochenbl Papierfabr 100:494–499
Zurück zum Zitat Farnood RR, Loewen RR, Dodson CTJ (1993) Forming and formation of paper. In: Baker CF (ed) Proc. 10th Fund. Res. Symp., Oxford, vol 1, pp 183–208 Farnood RR, Loewen RR, Dodson CTJ (1993) Forming and formation of paper. In: Baker CF (ed) Proc. 10th Fund. Res. Symp., Oxford, vol 1, pp 183–208
Zurück zum Zitat Hubbe MA (2007) Flocculation and redispersion of cellulosic fiber suspensions: a review of effects of hydrodynamic shear and polyelectrolytes. BioResources 2:296–331 Hubbe MA (2007) Flocculation and redispersion of cellulosic fiber suspensions: a review of effects of hydrodynamic shear and polyelectrolytes. BioResources 2:296–331
Zurück zum Zitat Kerekes RJ (1995) Perspectives on fiber flocculation in papermaking. In: 1995 Intl. Paper Phys. Conf., TAPPI Press, Atlanta, pp 23–31 Kerekes RJ (1995) Perspectives on fiber flocculation in papermaking. In: 1995 Intl. Paper Phys. Conf., TAPPI Press, Atlanta, pp 23–31
Zurück zum Zitat Kerekes RJ, Schell CJ (1992) Characterization of fiber flocculation regimes by a crowding factor. J Pulp Paper Sci 18:J32–J38 Kerekes RJ, Schell CJ (1992) Characterization of fiber flocculation regimes by a crowding factor. J Pulp Paper Sci 18:J32–J38
Zurück zum Zitat Kerekes RJ, Schell CJ (1995) Effects of fiber length and coarseness on pulp flocculation. Tappi 78:133–139 Kerekes RJ, Schell CJ (1995) Effects of fiber length and coarseness on pulp flocculation. Tappi 78:133–139
Zurück zum Zitat Kropholler HW, Sampson WW (2001) The effect of fiber length distribution on suspension crowding. J Pulp Paper Sci 27:301–305 Kropholler HW, Sampson WW (2001) The effect of fiber length distribution on suspension crowding. J Pulp Paper Sci 27:301–305
Zurück zum Zitat Lägues M (1979) Electrical conductivity of microemulsions: a case of stirred percolation. J Phys Lett 40:331–333CrossRef Lägues M (1979) Electrical conductivity of microemulsions: a case of stirred percolation. J Phys Lett 40:331–333CrossRef
Zurück zum Zitat Landau LD, Lifshitz EM (1980) Electrodynamics of continuous media. Pergamon, New York Landau LD, Lifshitz EM (1980) Electrodynamics of continuous media. Pergamon, New York
Zurück zum Zitat Lee CW, Brodkey RS (1987) A visual study of pulp floc dispersion mechanisms. AIChE J 33:297–302CrossRef Lee CW, Brodkey RS (1987) A visual study of pulp floc dispersion mechanisms. AIChE J 33:297–302CrossRef
Zurück zum Zitat Li L, Chung DDL (1991) Effect of viscosity on the electrical properties of conducting thermoplastic composites. In: 5th Int. SAMPE Electronics Conf., vol 5, Los Angeles (CA), June 1991 Li L, Chung DDL (1991) Effect of viscosity on the electrical properties of conducting thermoplastic composites. In: 5th Int. SAMPE Electronics Conf., vol 5, Los Angeles (CA), June 1991
Zurück zum Zitat Mason SG (1954) Fiber motions and flocculation. Tappi 37:494–501 Mason SG (1954) Fiber motions and flocculation. Tappi 37:494–501
Zurück zum Zitat McLachlan DS, Blaszkiewicz M, Newnham RE (1990) Electrical resistivity of composites. J Am Ceram Soc 73:2187–2203CrossRef McLachlan DS, Blaszkiewicz M, Newnham RE (1990) Electrical resistivity of composites. J Am Ceram Soc 73:2187–2203CrossRef
Zurück zum Zitat Miyasaka K, Watanabe K, Jojima E, Aida H, Sumita M, Ishikawa K (1982) Electrical conductivity of carbon-polymer composites as a function of carbon content. J Mater Sci 17:1610–1616CrossRef Miyasaka K, Watanabe K, Jojima E, Aida H, Sumita M, Ishikawa K (1982) Electrical conductivity of carbon-polymer composites as a function of carbon content. J Mater Sci 17:1610–1616CrossRef
Zurück zum Zitat Mouney C (1987) PhD thesis, University of Bordeaux 1 (France) Mouney C (1987) PhD thesis, University of Bordeaux 1 (France)
Zurück zum Zitat Ogale AA, Wang SF (1993) Simulation of the percolation behavior of quasi and transversely isotropic short-fiber composites with a continuum model. Compos Sci Technol 46:379–388CrossRef Ogale AA, Wang SF (1993) Simulation of the percolation behavior of quasi and transversely isotropic short-fiber composites with a continuum model. Compos Sci Technol 46:379–388CrossRef
Zurück zum Zitat Orts WJ, Godbout L, Marchessault RH, Revol JF (1995) Shear-induced alignment of liquid-crystalline suspensions of cellulose microfibrils. ACS Symp Ser 597:335–348CrossRef Orts WJ, Godbout L, Marchessault RH, Revol JF (1995) Shear-induced alignment of liquid-crystalline suspensions of cellulose microfibrils. ACS Symp Ser 597:335–348CrossRef
Zurück zum Zitat Ozhovan MI, Semenov KN (1992) Percolation in a system of polydispersed particles. Sov Phys JETP 75:696–698 Ozhovan MI, Semenov KN (1992) Percolation in a system of polydispersed particles. Sov Phys JETP 75:696–698
Zurück zum Zitat Pandya JD, Spielman LA (1982) Floc breakage in agitated suspensions: theory and data processing strategy. J Colloid Interface Sci 92:517–531CrossRef Pandya JD, Spielman LA (1982) Floc breakage in agitated suspensions: theory and data processing strategy. J Colloid Interface Sci 92:517–531CrossRef
Zurück zum Zitat Peterson DE (1994) Nuclear density consistency meter evaluation. In: Proc. TAPPI 1994 Process Control. Symp., TAPPI Press, Atlanta, pp 9–18 Peterson DE (1994) Nuclear density consistency meter evaluation. In: Proc. TAPPI 1994 Process Control. Symp., TAPPI Press, Atlanta, pp 9–18
Zurück zum Zitat Phillips JC, Thorpe MF (1985) Constraint theory, vector percolation and glass formation. Solid State Commun 53:699–702CrossRef Phillips JC, Thorpe MF (1985) Constraint theory, vector percolation and glass formation. Solid State Commun 53:699–702CrossRef
Zurück zum Zitat Ross RF, Klingenberg DJ (1998) Simulation of flowing wood fiber suspensions. J Pulp Paper Sci 24:388–392 Ross RF, Klingenberg DJ (1998) Simulation of flowing wood fiber suspensions. J Pulp Paper Sci 24:388–392
Zurück zum Zitat Safran SA, Webman I, Grest GS (1985) Percolation in interacting colloids. Phys Rev A 32:506–511CrossRef Safran SA, Webman I, Grest GS (1985) Percolation in interacting colloids. Phys Rev A 32:506–511CrossRef
Zurück zum Zitat Sahimi M (1994) Applications of percolation theory. Taylor & Francis, Philadelphia, PA Sahimi M (1994) Applications of percolation theory. Taylor & Francis, Philadelphia, PA
Zurück zum Zitat Sahimi M (1998) Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown. Phys Rep 306:213–395CrossRef Sahimi M (1998) Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown. Phys Rep 306:213–395CrossRef
Zurück zum Zitat Saven JG, Skinner JL, Wright JR (1991) Classical and quantum continuum percolation. J Chem Phys 94:6153–6159CrossRef Saven JG, Skinner JL, Wright JR (1991) Classical and quantum continuum percolation. J Chem Phys 94:6153–6159CrossRef
Zurück zum Zitat Stoere P, Nazhad M, Kerekes RJ (1954) An experimental study of the effect of refining on paper formation. Tappi 37:494–501 Stoere P, Nazhad M, Kerekes RJ (1954) An experimental study of the effect of refining on paper formation. Tappi 37:494–501
Zurück zum Zitat Stover CA, Koch DL, Cohen C (1992) Observation of fiber orientation in simple shear flow of semi-dilute suspensions. J Fluid Mech 238:277–296CrossRef Stover CA, Koch DL, Cohen C (1992) Observation of fiber orientation in simple shear flow of semi-dilute suspensions. J Fluid Mech 238:277–296CrossRef
Zurück zum Zitat Sumita M, Abe H, Kayaki H, Miyasaka K (1986) Effect of melt viscosity and surface tension of polymers on the percolation threshold of conductive-particle-filled polymeric composites. J Macromol Sci Phys B25:171–184 Sumita M, Abe H, Kayaki H, Miyasaka K (1986) Effect of melt viscosity and surface tension of polymers on the percolation threshold of conductive-particle-filled polymeric composites. J Macromol Sci Phys B25:171–184
Zurück zum Zitat Ulmar M, Norman B (1997) Observations of fiber orientation in a headbox nozzle at low consistency. In: Proc. TAPPI 1997 Engineering and Paper Conf., TAPPI Press, Atlanta, pp 865–873 Ulmar M, Norman B (1997) Observations of fiber orientation in a headbox nozzle at low consistency. In: Proc. TAPPI 1997 Engineering and Paper Conf., TAPPI Press, Atlanta, pp 865–873
Zurück zum Zitat Van de Ven TGM, Mason SG (1981) Comparison of hydrodynamic and colloidal forces in paper machine headboxes. Tappi 64:171–175 Van de Ven TGM, Mason SG (1981) Comparison of hydrodynamic and colloidal forces in paper machine headboxes. Tappi 64:171–175
Zurück zum Zitat Wang SF, Ogale AA (1993a) Continuum space simulation and experimental characterization of electrical percolation behavior of particulate composites. Compos Sci Technol 46:93–103CrossRef Wang SF, Ogale AA (1993a) Continuum space simulation and experimental characterization of electrical percolation behavior of particulate composites. Compos Sci Technol 46:93–103CrossRef
Zurück zum Zitat Wang SF, Ogale AA (1993b) Continuum space simulation of electrical percolation behavior of anisotropic short fiber composites in cubic and non-cubic control volumes. Compos Sci Technol 46:389–398CrossRef Wang SF, Ogale AA (1993b) Continuum space simulation of electrical percolation behavior of anisotropic short fiber composites in cubic and non-cubic control volumes. Compos Sci Technol 46:389–398CrossRef
Zurück zum Zitat Waterhouse JF (1993) Effect of papermaking variables on formation. Tappi J 76:129–134 Waterhouse JF (1993) Effect of papermaking variables on formation. Tappi J 76:129–134
Zurück zum Zitat Wessling B (1988) Electrical conductivity in heterogeneous polymer systems (IV): a new dynamic interfacial percolation model. Synth Met 27:A83–A88CrossRef Wessling B (1988) Electrical conductivity in heterogeneous polymer systems (IV): a new dynamic interfacial percolation model. Synth Met 27:A83–A88CrossRef
Zurück zum Zitat Wessling B, Volk H, Mathew WR, Kulkarni VG (1988) Models for understanding processing properties of intrinsically conductive polymers. Mol Cryst Liq Cryst 160:205–220CrossRef Wessling B, Volk H, Mathew WR, Kulkarni VG (1988) Models for understanding processing properties of intrinsically conductive polymers. Mol Cryst Liq Cryst 160:205–220CrossRef
Zurück zum Zitat Wikström T, Rasmuson A (1998) Yield stress of pulp suspensions. The influence of fiber properties and processing conditions. Nordic Pulp Paper Res J 13:243–250CrossRef Wikström T, Rasmuson A (1998) Yield stress of pulp suspensions. The influence of fiber properties and processing conditions. Nordic Pulp Paper Res J 13:243–250CrossRef
Metadaten
Titel
Flocculation of cellulose fibre suspensions: the contribution of percolation and effective-medium theories
verfasst von
A. Celzard
V. Fierro
A. Pizzi
Publikationsdatum
01.12.2008
Verlag
Springer Netherlands
Erschienen in
Cellulose / Ausgabe 6/2008
Print ISSN: 0969-0239
Elektronische ISSN: 1572-882X
DOI
https://doi.org/10.1007/s10570-008-9229-1

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