Skip to main content
Top
Published in: Journal of Coatings Technology and Research 6/2020

15-07-2020

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

Authors: Jae Y. Shin, Hak Lae Lee

Published in: Journal of Coatings Technology and Research | Issue 6/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Lohmander, S, “Aspect Ratios of Pigment Particles Determined by Different Methods.” Nord. Pulp Pap. Res J., 15 (4) 300–305 (2000)CrossRef Lohmander, S, “Aspect Ratios of Pigment Particles Determined by Different Methods.” Nord. Pulp Pap. Res J., 15 (4) 300–305 (2000)CrossRef
2.
go back to reference Weigl, J, Grossmann, H, “Factors Impeding High-Speed Runnability of Blade Coaters.” TAPPI J., 80 (11) 223–232 (1997) Weigl, J, Grossmann, H, “Factors Impeding High-Speed Runnability of Blade Coaters.” TAPPI J., 80 (11) 223–232 (1997)
3.
go back to reference 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) 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.
go back to reference Barnes, HA, Hutton, JF, Walters, K, An Introduction to Rheology. Elsevier, New York (1989) Barnes, HA, Hutton, JF, Walters, K, An Introduction to Rheology. Elsevier, New York (1989)
5.
go back to reference Lindhjem, C, “Particle Packing and Shape Effects on the Rheological Characteristics of Paper Coating Pigments.” TAPPI Coating Conference Proceedings, Atlanta, GA, May 1991 Lindhjem, C, “Particle Packing and Shape Effects on the Rheological Characteristics of Paper Coating Pigments.” TAPPI Coating Conference Proceedings, Atlanta, GA, May 1991
6.
go back to reference Westman, AER, Hugill, HR, “The Packing of Particles.” J. Am. Ceram. Soc., 13 (10) 767–779 (1930)CrossRef Westman, AER, Hugill, HR, “The Packing of Particles.” J. Am. Ceram. Soc., 13 (10) 767–779 (1930)CrossRef
7.
go back to reference Furnas, CC, “Mathematical Relations for Beds of Broken Solids of Maximum Density.” Ind. Eng. Chem., 23 (9) 1052–1058 (1931)CrossRef Furnas, CC, “Mathematical Relations for Beds of Broken Solids of Maximum Density.” Ind. Eng. Chem., 23 (9) 1052–1058 (1931)CrossRef
8.
go back to reference McGeary, RK, “Mechanical Packing of Spherical Particles.” J. Am. Ceram. Soc., 44 (10) 513–522 (1961)CrossRef McGeary, RK, “Mechanical Packing of Spherical Particles.” J. Am. Ceram. Soc., 44 (10) 513–522 (1961)CrossRef
9.
go back to reference Yerazunis, S, Bartlett, JW, Nissan, AH, “Packing of Binary Mixtures of Spheres and Irregular Particles.” Nature, 195 33–35 (1962)CrossRef Yerazunis, S, Bartlett, JW, Nissan, AH, “Packing of Binary Mixtures of Spheres and Irregular Particles.” Nature, 195 33–35 (1962)CrossRef
10.
go back to reference Lee, DI, “Packing of Spheres and Its Effect on the Viscosity of Suspensions.” J. Paint Technol., 42 (550) 579–587 (1970) Lee, DI, “Packing of Spheres and Its Effect on the Viscosity of Suspensions.” J. Paint Technol., 42 (550) 579–587 (1970)
11.
go back to reference Haughey, DP, Beveridge, GSG, “Structural Properties of Packed Beds: A Review.” Can. J. Chem. Eng., 47 (2) 130–140 (1969)CrossRef Haughey, DP, Beveridge, GSG, “Structural Properties of Packed Beds: A Review.” Can. J. Chem. Eng., 47 (2) 130–140 (1969)CrossRef
12.
go back to reference Gupta, RK, Seshadri, SG, “Maximum Loading Levels in Filled Liquid Systems.” J. Rheol., 30 (3) 503–508 (1986)CrossRef Gupta, RK, Seshadri, SG, “Maximum Loading Levels in Filled Liquid Systems.” J. Rheol., 30 (3) 503–508 (1986)CrossRef
13.
go back to reference Eksi, G, Bousfield, DW, “Modeling of Coating Structure Development.” TAPPI J., 80 (2) 125–135 (1997) Eksi, G, Bousfield, DW, “Modeling of Coating Structure Development.” TAPPI J., 80 (2) 125–135 (1997)
14.
go back to reference Cumberland, DJ, Crawford, RJ, The Packing of Particles. Elsevier, Amsterdam (1987) Cumberland, DJ, Crawford, RJ, The Packing of Particles. Elsevier, Amsterdam (1987)
15.
go back to reference German, RM, Particle Packing Characteristics. Metal Powder Industries Federation, Princeton, NJ (1987) German, RM, Particle Packing Characteristics. Metal Powder Industries Federation, Princeton, NJ (1987)
16.
go back to reference 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)CrossRef 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)CrossRef
17.
go back to reference 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)CrossRef 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)CrossRef
18.
go back to reference Ouchiyama, N, Tanaka, T, “Porosity Estimation from Particle Size Distribution.” Ind. Eng. Chem. Fundamen., 25 (1) 125–129 (1986)CrossRef Ouchiyama, N, Tanaka, T, “Porosity Estimation from Particle Size Distribution.” Ind. Eng. Chem. Fundamen., 25 (1) 125–129 (1986)CrossRef
19.
go back to reference Stovall, T, De Larrard, F, Buil, M, “Linear Packing Density of Grain Mixtures.” Powder Technol., 48 (1) 1–12 (1986)CrossRef Stovall, T, De Larrard, F, Buil, M, “Linear Packing Density of Grain Mixtures.” Powder Technol., 48 (1) 1–12 (1986)CrossRef
20.
go back to reference Yu, AB, Standish, N, “Porosity Calculation of Multi-component Mixtures of Particle.” Powder Technol., 52 (3) 233–241 (1987)CrossRef Yu, AB, Standish, N, “Porosity Calculation of Multi-component Mixtures of Particle.” Powder Technol., 52 (3) 233–241 (1987)CrossRef
21.
go back to reference Yu, AB, Standish, N, “An Analytical Parametric Theory of the Random Packing of Particles.” Powder Technol., 55 (3) 171–186 (1988)CrossRef Yu, AB, Standish, N, “An Analytical Parametric Theory of the Random Packing of Particles.” Powder Technol., 55 (3) 171–186 (1988)CrossRef
22.
go back to reference 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)CrossRef 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)CrossRef
23.
go back to reference Yu, AB, Standish, N, McLean, A, “Porosity Calculation of Binary Mixtures of Nonspherical Particles.” J. Am. Ceram Soc., 76 (11) 2813–2816 (1993)CrossRef Yu, AB, Standish, N, McLean, A, “Porosity Calculation of Binary Mixtures of Nonspherical Particles.” J. Am. Ceram Soc., 76 (11) 2813–2816 (1993)CrossRef
24.
go back to reference Zheng, J, Carlson, WB, Reed, JS, “The Packing Density of Binary Powder Mixtures.” J. Eur. Ceram. Soc., 15 479–483 (1995)CrossRef Zheng, J, Carlson, WB, Reed, JS, “The Packing Density of Binary Powder Mixtures.” J. Eur. Ceram. Soc., 15 479–483 (1995)CrossRef
25.
go back to reference Bierwagen, GP, “CPVC (Critical Pigment Volume Concentration) Calculations.” J. Paint Technol., 44 (574) 46–55 (1972) Bierwagen, GP, “CPVC (Critical Pigment Volume Concentration) Calculations.” J. Paint Technol., 44 (574) 46–55 (1972)
26.
go back to reference Yu, AB, Standish, N, “Characterisation of Non-spherical Particles from Their Packing Behavior.” Powder Technol., 74 (3) 205–213 (1993)CrossRef Yu, AB, Standish, N, “Characterisation of Non-spherical Particles from Their Packing Behavior.” Powder Technol., 74 (3) 205–213 (1993)CrossRef
27.
go back to reference Zou, RP, Yu, AB, “Evaluation of the Packing Characteristics of Mono-sized Non-spherical Particles.” Powder Technol., 88 (1) 71–79 (1996)CrossRef Zou, RP, Yu, AB, “Evaluation of the Packing Characteristics of Mono-sized Non-spherical Particles.” Powder Technol., 88 (1) 71–79 (1996)CrossRef
28.
go back to reference 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)CrossRef 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)CrossRef
29.
go back to reference Hardy, RE, Carter, D, “Fine Particle Clay Modifications Solve Coater Runnability Problems.” Pulp and Paper (USA) (1994) Hardy, RE, Carter, D, “Fine Particle Clay Modifications Solve Coater Runnability Problems.” Pulp and Paper (USA) (1994)
30.
go back to reference Bousfield, DW, “Prediction of Velocity and Coat-Weight Limits Based on Filter-Cake Formation.” TAPPI J., 77 (7) 161–171 (1994) Bousfield, DW, “Prediction of Velocity and Coat-Weight Limits Based on Filter-Cake Formation.” TAPPI J., 77 (7) 161–171 (1994)
31.
go back to reference Sonn, JS, Bousfield, DW, “Modeling Absorption and Rheological Changes as Suspensions are Applied to Porous Substrates.” Chem. Eng. Sci., 123 (17) 579–587 (2015)CrossRef Sonn, JS, Bousfield, DW, “Modeling Absorption and Rheological Changes as Suspensions are Applied to Porous Substrates.” Chem. Eng. Sci., 123 (17) 579–587 (2015)CrossRef
32.
go back to reference Mie, G, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen.” Physik, 330 (3) 377–445 (1908) Mie, G, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen.” Physik, 330 (3) 377–445 (1908)
33.
go back to reference 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) 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)
34.
go back to reference Gane, PAC, McGenity, PM, Watters, P, “Factors Influencing the Runnability of Coating Colors at High Speed.” TAPPI J., 75 (5) 61–73 (1992) Gane, PAC, McGenity, PM, Watters, P, “Factors Influencing the Runnability of Coating Colors at High Speed.” TAPPI J., 75 (5) 61–73 (1992)
35.
go back to reference 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) 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)
36.
go back to reference Lehtinen, E, Pigment Coating and Surface Sizing of Paper. TAPPI Press, Atlanta (2000) Lehtinen, E, Pigment Coating and Surface Sizing of Paper. TAPPI Press, Atlanta (2000)
37.
go back to reference Krieger, IM, Dougherty, TJ, “A Mechanism for Non-Newtonian Flow in Suspensions of Rigid Spheres.” Trans. Soc. Rheol., 3 (1) 137–152 (1959)CrossRef Krieger, IM, Dougherty, TJ, “A Mechanism for Non-Newtonian Flow in Suspensions of Rigid Spheres.” Trans. Soc. Rheol., 3 (1) 137–152 (1959)CrossRef
38.
go back to reference 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 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.
go back to reference 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) 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)
40.
go back to reference 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) 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)
41.
go back to reference 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. 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.
Metadata
Title
The influence of different shapes and size distributions of coating pigments on packing and dewatering
Authors
Jae Y. Shin
Hak Lae Lee
Publication date
15-07-2020
Publisher
Springer US
Published in
Journal of Coatings Technology and Research / Issue 6/2020
Print ISSN: 1547-0091
Electronic ISSN: 1935-3804
DOI
https://doi.org/10.1007/s11998-020-00371-y

Other articles of this Issue 6/2020

Journal of Coatings Technology and Research 6/2020 Go to the issue

Premium Partners