Skip to main content
Log in

The influence of different shapes and size distributions of coating pigments on packing and dewatering

  • Published:
Journal of Coatings Technology and Research Aims and scope Submit manuscript

Abstract

Particle shape and particle-size distribution (PSD) are important factors for pigment packing and water retention in the pigment coating process, being closely associated with many runnability problems. Diverse experimental investigations on the packing and dewatering of pigment slurries have been made. However, theoretical approaches remain lacking. This paper presents a joint experimental and theoretical analysis of the influence of pigment shape and PSD on pigment packing and dewatering. The relative viscosities of very dilute pigment slurries were measured and used to determine the intrinsic viscosity, based on the Einstein equation. The deviation of pigment shape from spherical caused an increase in viscosity of the slurries. Acicular precipitated calcium carbonates gave lower shape factor values than platy clay particles, which indicated that the needle-like particles could rotate more easily around their long axes under shearing conditions. The packing of pigments, which determines porosity, permeability, light scattering, and mechanical properties, was examined. The packing volumes of nonspherical pigments were estimated based on their respective PSDs, using an algorithm developed for spherical particles, modified with a correction factor. This model is based on the close random-packing volume fraction (\(\emptyset_{\text{p}}^{ 2}\)) of particles of uniform size being an independent variable, regardless of their shape. Therefore, it was valid as long as the particles always achieve the same close random-packing volume (\(\emptyset_{\text{p}}^{ 1}\)) by sedimentation or tapping. Overall, the effect of the particle shape and PSD on the dewatering and filter-cake permeability (Kf) was analyzed. The dewatering rates were measured with a common pressure filtration method, and the permeability of the filter cakes was obtained by fitting the data to a filtration equation. The particle size and PSD were found to influence the permeability constant, but there was little correlation between the permeability and particle shape.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Lohmander, S, “Aspect Ratios of Pigment Particles Determined by Different Methods.” Nord. Pulp Pap. Res J., 15 (4) 300–305 (2000)

    Article  CAS  Google Scholar 

  2. Weigl, J, Grossmann, H, “Factors Impeding High-Speed Runnability of Blade Coaters.” TAPPI J., 80 (11) 223–232 (1997)

    CAS  Google Scholar 

  3. Einstein, A, “Eine Neue Bestimmung der Moleküldimensionen.” Ann. Physik, 19 (2) 289–306 (1906); “Corrections, Berichtigung zu meiner Arbeit: Eine neue Bestimmung der Moleküldimensionen.” Ann. Physik, 34 (3) 591–592 (1911)

  4. Barnes, HA, Hutton, JF, Walters, K, An Introduction to Rheology. Elsevier, New York (1989)

    Google Scholar 

  5. Lindhjem, C, “Particle Packing and Shape Effects on the Rheological Characteristics of Paper Coating Pigments.” TAPPI Coating Conference Proceedings, Atlanta, GA, May 1991

  6. Westman, AER, Hugill, HR, “The Packing of Particles.” J. Am. Ceram. Soc., 13 (10) 767–779 (1930)

    Article  CAS  Google Scholar 

  7. Furnas, CC, “Mathematical Relations for Beds of Broken Solids of Maximum Density.” Ind. Eng. Chem., 23 (9) 1052–1058 (1931)

    Article  CAS  Google Scholar 

  8. McGeary, RK, “Mechanical Packing of Spherical Particles.” J. Am. Ceram. Soc., 44 (10) 513–522 (1961)

    Article  CAS  Google Scholar 

  9. Yerazunis, S, Bartlett, JW, Nissan, AH, “Packing of Binary Mixtures of Spheres and Irregular Particles.” Nature, 195 33–35 (1962)

    Article  Google Scholar 

  10. Lee, DI, “Packing of Spheres and Its Effect on the Viscosity of Suspensions.” J. Paint Technol., 42 (550) 579–587 (1970)

    CAS  Google Scholar 

  11. Haughey, DP, Beveridge, GSG, “Structural Properties of Packed Beds: A Review.” Can. J. Chem. Eng., 47 (2) 130–140 (1969)

    Article  CAS  Google Scholar 

  12. Gupta, RK, Seshadri, SG, “Maximum Loading Levels in Filled Liquid Systems.” J. Rheol., 30 (3) 503–508 (1986)

    Article  CAS  Google Scholar 

  13. Eksi, G, Bousfield, DW, “Modeling of Coating Structure Development.” TAPPI J., 80 (2) 125–135 (1997)

    CAS  Google Scholar 

  14. Cumberland, DJ, Crawford, RJ, The Packing of Particles. Elsevier, Amsterdam (1987)

    Google Scholar 

  15. German, RM, Particle Packing Characteristics. Metal Powder Industries Federation, Princeton, NJ (1987)

    Google Scholar 

  16. Dodds, JA, “The Porosity and Contact Point in Multicomponent Random Sphere Packing Calculated by a Simple Statistical Geometric Model.” J. Colloid Interface Sci., 77 (2) 317–327 (1980)

    Article  CAS  Google Scholar 

  17. Ouchiyama, N, Tanaka, T, “Porosity of a Mass of Solid Particle Having a Range of Sizes.” Ind. Eng. Chem. Fundam., 20 (1) 66–71 (1981)

    Article  CAS  Google Scholar 

  18. Ouchiyama, N, Tanaka, T, “Porosity Estimation from Particle Size Distribution.” Ind. Eng. Chem. Fundamen., 25 (1) 125–129 (1986)

    Article  CAS  Google Scholar 

  19. Stovall, T, De Larrard, F, Buil, M, “Linear Packing Density of Grain Mixtures.” Powder Technol., 48 (1) 1–12 (1986)

    Article  CAS  Google Scholar 

  20. Yu, AB, Standish, N, “Porosity Calculation of Multi-component Mixtures of Particle.” Powder Technol., 52 (3) 233–241 (1987)

    Article  CAS  Google Scholar 

  21. Yu, AB, Standish, N, “An Analytical Parametric Theory of the Random Packing of Particles.” Powder Technol., 55 (3) 171–186 (1988)

    Article  CAS  Google Scholar 

  22. Yu, AB, Standish, N, “Estimation of the Porosity of Particle Mixtures by a Linear-Mixture Packing Model.” Ind. Eng. Chem. Res., 30 (6) 1372–1385 (1991)

    Article  CAS  Google Scholar 

  23. Yu, AB, Standish, N, McLean, A, “Porosity Calculation of Binary Mixtures of Nonspherical Particles.” J. Am. Ceram Soc., 76 (11) 2813–2816 (1993)

    Article  CAS  Google Scholar 

  24. Zheng, J, Carlson, WB, Reed, JS, “The Packing Density of Binary Powder Mixtures.” J. Eur. Ceram. Soc., 15 479–483 (1995)

    Article  CAS  Google Scholar 

  25. Bierwagen, GP, “CPVC (Critical Pigment Volume Concentration) Calculations.” J. Paint Technol., 44 (574) 46–55 (1972)

    CAS  Google Scholar 

  26. Yu, AB, Standish, N, “Characterisation of Non-spherical Particles from Their Packing Behavior.” Powder Technol., 74 (3) 205–213 (1993)

    Article  CAS  Google Scholar 

  27. Zou, RP, Yu, AB, “Evaluation of the Packing Characteristics of Mono-sized Non-spherical Particles.” Powder Technol., 88 (1) 71–79 (1996)

    Article  CAS  Google Scholar 

  28. Yuan, Y, Liu, L, Zhuang, Y, Jin, W, Li, S, “Coupling Effects of Particle Size and Shape on Improving the Density of Disordered Polydisperse Packings.” Physical Review E, 98 042903-1–042903-11 (2018)

    Article  Google Scholar 

  29. Hardy, RE, Carter, D, “Fine Particle Clay Modifications Solve Coater Runnability Problems.” Pulp and Paper (USA) (1994)

  30. Bousfield, DW, “Prediction of Velocity and Coat-Weight Limits Based on Filter-Cake Formation.” TAPPI J., 77 (7) 161–171 (1994)

    CAS  Google Scholar 

  31. Sonn, JS, Bousfield, DW, “Modeling Absorption and Rheological Changes as Suspensions are Applied to Porous Substrates.” Chem. Eng. Sci., 123 (17) 579–587 (2015)

    Article  CAS  Google Scholar 

  32. Mie, G, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen.” Physik, 330 (3) 377–445 (1908)

    Google Scholar 

  33. Lee, DI, “The Critical Pigment Volume Concentration Concept for Paper Coatings Part 2: Later-Bound Clay; Ground Calcium Carbonate, and Clay–Carbonate Pigment Coatings.” J. Korea Tech. Assoc. Pulp Pap. Ind., 34 (5) 18–38 (2002)

    Google Scholar 

  34. Gane, PAC, McGenity, PM, Watters, P, “Factors Influencing the Runnability of Coating Colors at High Speed.” TAPPI J., 75 (5) 61–73 (1992)

    CAS  Google Scholar 

  35. Gane, PAC, Hooper, JJ, Grunwald, A, “Coating Pigment Orientation: A Comparative Analysis of the Application Mechanisms and Properties of Blade and Roll Coatings.” TAPPI J., 80 (2) 109–115 (1997)

    CAS  Google Scholar 

  36. Lehtinen, E, Pigment Coating and Surface Sizing of Paper. TAPPI Press, Atlanta (2000)

    Google Scholar 

  37. Krieger, IM, Dougherty, TJ, “A Mechanism for Non-Newtonian Flow in Suspensions of Rigid Spheres.” Trans. Soc. Rheol., 3 (1) 137–152 (1959)

    Article  CAS  Google Scholar 

  38. Lee, HK, Joyce, M, Fleming, PD, “Influence of Pigment Particles on Gloss and Printability for Inkjet Paper Coatings.” International Conference on Digital Printing Technologies Proceedings, Salt Lake City, UT, October 2004

  39. Gane, PAC, Matthews, GP, Schoelkopf, J, “Offset Ink Tack and Rheology Correlation Part 1: Ink Rheology as a Function of Concentration.” TAPPI J., 2 (6) 13–19 (2003)

    CAS  Google Scholar 

  40. Gane, PAC, Matthews, GP, Schoelkopf, J, “Offset Ink Tack and Rheology Correlation Part 2: Determining in Real Time the Solids Content of Ink-on-Paper Using the Ink Tack Force-Time Integral.” TAPPI J., 2 (7) 23–24 (2003)

    CAS  Google Scholar 

  41. Weeks, L, Yum, G, Bousfield, DW, Hayes, P, “Effect of Particle Shape and Latex Particle Size Distributions on Dewatering and Filtercake Permeability.” Advanced Coating Fundamentals Symposium Proceedings, Charlotte, NC, April 2018.

Download references

Acknowledgments

The authors are grateful to National Research Foundation of Korea (NRF-2017R1D1A1B03031546) for financial support of this work and to Dr. Do Ik Lee for the use of his algorithm for packing calculation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jae Y. Shin.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shin, J.Y., Lee, H.L. The influence of different shapes and size distributions of coating pigments on packing and dewatering. J Coat Technol Res 17, 1425–1436 (2020). https://doi.org/10.1007/s11998-020-00371-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11998-020-00371-y

Keywords

Navigation