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Rheology in papermaking — from fibre suspension flows to mechanics of solid paper

  • The 11th International Symposium on Applied Rheology Lecture
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Abstract

Mathematical modelling of both papermaking fibre suspension flows and solid paper are considered in this paper. The authors own research work has mainly been carried out in the University of Eastern Finland by Paper Physics Group since 2004. The paper also consists of review of other related publications on rheology of paper and fibre suspension flows.

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References

  • Brezinski, J., 1956, The creep properties of paper, Tappi Journal 39, 116–128.

    CAS  Google Scholar 

  • Carlsson, L., C. Fellers, and M. Htun, 1980, Curl and two-sidedness of paper, Svensk Papperstidning 83, 194–197.

    Google Scholar 

  • Hammarström, D., 2004, A model for simulation of fiber suspension flows, licentiate thesis, Royal Institute of Technology, Stockholm, Sweden.

    Google Scholar 

  • Haslach, H.W. JR., 2000, The moisture and rate-dependent mechanical properties of paper: a review, J. Mechanics of Time-Dependent Materials 4, 169–210.

    Article  CAS  Google Scholar 

  • Huhtanen, J.-P., 2004, Modeling of fiber suspension flows in refiner and other papermaking processes by combining non-Newtonian fluid dynamics and turbulence, PhD thesis, Tampere University of Technology, Tampere, Finland.

    Google Scholar 

  • Hyensjö, M., A. Dahlkild, P. Krochak, J. Olson, and J. Hämäläinen, 2007, Modelling the effect of shear flow on fibre orientation anisotropy in a planar contraction, Nordic Pulp and Paper Research Journal 22, 376–382.

    Article  Google Scholar 

  • Hämäläinen, T. and J. Hämäläinen, 2007, Modelling of fibre orientation in the headbox jet, Journal of Pulp and Paper Science 33, 49–53.

    Google Scholar 

  • Hämäläinen, T. and J. Hämäläinen, 2010a, Fibre floc evolution model, part I: flocculation in a headbox, Nordic Pulp and Paper Research Journal 25, 39–47.

    Article  Google Scholar 

  • Hämäläinen, T. and J. Hämäläinen, 2010b, Fibre floc evolution model, part II: influence of the jet-to-wire ratio to resulting fibre floc evolution in the initial drainage zone, Nordic Pulp and Paper Research Journal 25, 48–55.

    Article  Google Scholar 

  • Hämäläinen, J., S.B. Lindström, T. Hämäläinen, and H. Niskanen, 2011, Papermaking fibre-suspension flow simulations at multiple scales, Journal of Engineering Mathematics, special issue on Complex Fluids 71, 55–79.

    Google Scholar 

  • Jäsberg, A., 2007, Flow behaviour of fibre suspension in straight pipes: new experimental techniques and multiphase modelling, PhD thesis, University of Jyväskylä, Jyväskylä, Finland

    Google Scholar 

  • Kondora, G. and D. Asendrych, 2009, Flow simulation in a disc refiner. In proceedings of 14th conference on model fluid flows, Budapest.

  • Leppänen, T., 2007, Effect of fibre orientation on cockling of paper, PhD thesis, University of Kuopio, Kuopio, Finland.

    Google Scholar 

  • Lindström, S.B. and T. Uesaka, 2007, Simulation of the motion of flexible fibres in viscous fluid flow, Phys. Fluids 19, 113307.

    Article  Google Scholar 

  • Lindström, S.B. and T. Uesaka, 2008, Simulation of semidilute suspensions of non-Brownian fibres in shear flow, J. Chem. Phys. 128, 024901.

    Article  Google Scholar 

  • Lindström, S.B. and T. Uesaka, 2009, A numerical investigation of the rheology of sheared fibre suspensions, Phys. Fluids 21, 083301.

    Article  Google Scholar 

  • Lipponen, P., 2010, Elasto-plastic modelling approach for paper cockling and curling phenomena, PhD thesis, University of Eastern Finland, Kuopio, Finland.

    Google Scholar 

  • Lipponen, P., A.-L. Erkkilä, T. Leppänen, and J. Hämäläinen, 2009, On the importance of in-plane shrinkage and throughthickness moisture gradient during drying on cockling and curling phenomena. In proceedings of 14th Pulp and Paper Fundamental Research Symposium, Oxford, 389–436.

  • Lu, W. and L. Carlsson, 2001, Influence of viscoelastic behaviour on curl of paper, Mechanics of Time-Dependent Materials 5, 79–100.

    Article  CAS  Google Scholar 

  • Marchioli, C., M. Fantoni, and A. Soldati, 2010, Orientation, distribution, and deposition of elongated, inertial fibers in turbulent channel flow, Physics of Fluids 22, 033301.

    Article  Google Scholar 

  • Niklas, M. and D. Asendrych, 2006, Modelling of fluid flow with complex rheology, Syst J Transdiscipl Syst Sci 11, 63–73.

    Google Scholar 

  • Niskanen, K. (ed), 1998, Papermaking Science and Technology, Part 16: Paper Physics, Fapet Oy, Helsinki.

  • Niskanen, H., H. Eloranta, J. Tuomela, and J. Hämäläinen, 2011, On the orientation probability distribution of flexible fibres in a contracting channel flow, International Journal of Multiphase Flow 37, 336–345.

    Article  CAS  Google Scholar 

  • Olson, J., I. Frigaard, C. Chan, and J. Hämäläinen, 2004, Modelling turbulent fibre suspension flowing in a planar contraction: the one dimensional headbox, Int J Multip Flow 30, 51–66.

    Article  CAS  Google Scholar 

  • Pecht, M.G. and M. Johnson, 1985, The strain response of paper under various constant regain states, Tappi Journal 68, 90–93.

    Google Scholar 

  • Pietikäinen, R. and M. Kurki, 1994, Simulation of the paper sheet curling. In proceedings of 5th Finnish Mechanics Days, Jyväskylä, 257–264.

  • Schmid, C.F. and D.J. Klingenberg, 2000a, Mechanical flocculation in flowing fiber suspensions, Phys Rev Lett 84, 290–293.

    Article  CAS  Google Scholar 

  • Schmid, C.F., L.H. Switzer, and D.J. Klingenberg, 2000b, Simulations of fiber flocculation: effects of fiber properties and interfiber friction, J Rheol 44, 781–809.

    Article  CAS  Google Scholar 

  • Smith, S.F., 1950, Dried-in strains in paper sheets and their relation to curling, cockling and other phenomena, The Paper Maker and British Paper Trade Journal 118, 185–192.

    Google Scholar 

  • Switzer, L.H. and D.J. Klingenberg, 2003a, Rheology of sheared flexible fiber suspensions via fiber-level simulations, J Rheol 47, 759–778.

    Article  CAS  Google Scholar 

  • Switzer, L.H. and D.J. Klingenberg, 2003b, Simulations of fiber floc dispersion in linear flow fields, Nord Pulp Pap Res J 18, 141–144.

    Article  CAS  Google Scholar 

  • Switzer, L.H. and D.J. Klingenberg, 2004, Flocculation in simulations of sheared fiber suspensions, Int J Multip Flow 30, 67–87.

    Article  CAS  Google Scholar 

  • Uesaka, T., I. Kodaka, S. Okushima, and R. Fukuchi, 1989, History-dependent dimensional stability of paper, Rheologica Acta 28, 238–245.

    Article  CAS  Google Scholar 

  • Ventura, C., A. Blanco, C. Negro, P. Ferreira, F. Garcia, and M. Rasteiro, 2007, Modeling pulp fiber suspension rheology, Tappi J 6, 17–23.

    CAS  Google Scholar 

  • Ventura, C., F. Garcia, P. Ferreira, and M. Rasteiro, 2008, Flow dynamics of pulp fiber suspensions, Tappi J 7, 20–26.

    CAS  Google Scholar 

  • Wikström, T., 2002, Flow and rheology of pulp suspensions at medium consistency, PhD thesis, Chalmers University of Technology, Gothenburg, Sweden.

    Google Scholar 

  • Wu, J. and C.K. Aidun, 2010a, A method for direct simulation of flexible fiber suspensions using lattice-Boltzmann equation with external boundary force field, Int J Multip Flow 36, 202–209.

    Article  CAS  Google Scholar 

  • Wu, J. and C.K. Aidun, 2010b, Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force, Int J Numer Methods Fluids 62, 765–783.

    Google Scholar 

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Correspondence to Jari Hämäläinen.

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Hämäläinen, J., Eskola, R., Erkkilä, AL. et al. Rheology in papermaking — from fibre suspension flows to mechanics of solid paper. Korea-Aust. Rheol. J. 23, 211–217 (2011). https://doi.org/10.1007/s13367-011-0026-2

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  • DOI: https://doi.org/10.1007/s13367-011-0026-2

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