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Models for the Rheology of Clay-GCC Coating Colors

                       Saeid Savarmand*
                       Pierre J. Carreau
                       François Bertrand
                        David J.-E. Vidal

                 2008 TAPPI 10th Advanced
                   Coating Fundamentals
                        Symposium




        *Presently at Sun Chemical Corp., Carlstadt, NJ 07072, USA.
Rheology Controls Runnability and Quality

      Blade Coating             Metering size press

    Wet streaks       Orange peel               Misting




        High shear    Low shear viscosity    High extensional
         viscosity      / Yield stress           viscosity
                                              / Yield Stress


1
Objectives



      Gain new insights into how pigments and
           binders affect coating rheology


    • Replacement of CLAY with GCC
    • Partial replacement of LATEX with STARCH




2
Coating Viscosity:
    Correlations with Solids Content at Fixed Shearing Condition
                                                                                  2
                                                  0       
                                                     1 
                                                           
                                      Low shear            m ,0 
                  Maron-Pierce
                    (1956)                                                         2
                                                         
                                  High shear
                                                     1 
                                                     m ,  
                                                               
         (m- ) determines                                    
          the viscosity level




                                                      Material Resistance
                                                       (Dimensionless)
                                                                                       Liquid     Solid

                                          0                                           2
        : suspension viscosity                                                   
                                                                          1    
        : medium viscosity                                                     m 
        : volume solids content
    m   : maximum packing fraction
                                                  1                                          m           
3
Combined Impact of Shearing Condition and
                          Solids Content on Coating Rheology
                      Suspension Rheology of Non-Interacting Particles
                                           [ ]m ,0
                         0       
                            1 
                                                               (Krieger & Dougherty, 1959)
                                  m ,0 

                        (01,  )
    Shear Viscosity




                         (02 , 2 )                      0       1
                                                               
                                                           1  ( / c ) n                      [ ]m ,
                                                                                         
                                                                                     1    
                                                                                    m ,  
                                                                                            
                                                                                            (1,  )
                                                                                            ( 2 , 2 )

                                                                Shear Rate or Shear Stress
4
Combined Impact of Shearing Condition and Solids
                             Content on Coating Rheology (II)
                      High Solids Content or Interacting Particles
                                                     Modified K-D Correlation
                                                                            
                                       ( y1,  )   y        
                                                         1                    1
                                                     y 
                                                      *          
                                                               m ,0 
    Shear Viscosity




                      ( y 2 ,  2 )

                                                 New 3-parameter model
                                                    (  )
                                                      y
                                                                                         [ ]m ,
                                                                                
                                                                            1 
                                                                            m ,  
                                                                                      
                                                                                      
                                                                                      (1,  )
                                                                                      ( 2 , 2 )

                                                                  Shear Stress
5
Rheology of Coating
                                  Coating Structure
       Suspensions




                          ?
             Maximum Packing Fraction (m)


6
Experiment: Material & Apparatus

     Pigment
        Clay Premier (Imerys)
        Ground Calcium Carbonate (GCC) Hydrocarb 90 (Omya)
        Ground Calcium Carbonate (GCC) Carbitol 60 (Imerys)
     Latex: SBR CP 692NA (Dow Chemical)
     Starch
        Staley ICB-3000
     CMC: Finnfix 10 (Noviant)
     Dispersant: Dispex N40V (Ciba)
     Apparatus
        Rheometer: CVO 120 (Malvern)
        Mixer: Cowles disperser (Premier Dispersator)


7
Perception of Yield Phenomenon

                                            Creep Compliance, J                                                                 Transient Shear Viscosity, t
                                                            (t )                                                                                                 1
                                               J (t ; )                                                                                   J (t ; ) 
                                                                                                                                      t              
                                                                                                                                              t 
                                                                  Yielding
                                                               (A Transition)




                                                                                         Transient Shear Viscosity, t (Pa s)
                                 5                                                                                              105
                                                                                                                                         Solid-like behavior
    Creep Compliance, J (Pa-1)




                                                                                                                                                                 Shear Stress,
                                 4       Solid-      II                 III
                                                                                                                                104                                  (Pa)
                                                                                                                                                                         7.2
                                         like                                                                                                                            7.0
                                           I
                                 3
                                         behavior                                                                               103
                                                                                                                                                                         6.8
                                                                                                                                                                         6.5
                                                                        Liquid-                                                                                          6.0
                                                                        like                                                                                             5.5
                                                                                                                                102                                      5.0
                                 2
                                                                        behavior                                                                                         4.5
                                               Viscoelastic
                                                                                                                                101
                                 1             behavior
                                                                                                                                                             Liquid-like behavior
                                                                                                                                  0
                                 0                                                                                              10
                                     0          50            100       150        200                                                10-1     100         101     102         103
                                                          Time, t (s)                                                                                Shear Strain, 



8
Proposed Model Fitted to a Clay-Based Coating Color

    Clay Coating Color: 47.3 vol.%; 12pph Latex; 0.5pph CMC; pH8
                                   1.E+07
                                                          Data from
                                                          Creep Test
                                                                                       Exp
                                   1.E+05                                            
          Shear Viscosity (Pa s)




                                                                           (  )
                                                                             y
                                                                                     
                                   1.E+03



                                                                        Data from Steady
                                   1.E+01                                  Shear Test



                                   1.E-01
                                            0   10   20       30       40     50    60      70   80
                                                               Shear Stress (Pa)

9
Proposed Model Fitted to a GCC-Based Coating Color

     GCC Coating Color: 45.8 vol.%; 9 pph Latex; 4.3 pph Starch; 0.5pph CMC; pH8
                                1.E+05

                                                                                             Exp
                                                                                             
       Shear Viscosity (Pa s)




                                1.E+03
                                                                                        (  )
                                                                                          y
                                                                                                  
                                             Measurement
                                             artifact due to
                                             the uneven
                                             shear stress
                                1.E+01
                                             within the
                                             gap of
                                             Couette
                                             geometry


                                1.E-01
                                         0           10        20          30           40      50       60
                                                                    Shear Stress (Pa)

10
Experimental Results




     Impact of replacing Clay by GCC

       in pure pigment suspensions



11
How blending GCC with clay affects
                                       pigment suspension viscosity?
                                                                        ..
                                                               60% 68% (s ))
                                                                   68% (s-1
                                                                           -1


                                                                        100
                                                                        100
           Shear viscosity (Pa s)
                                                                        310
                                    10-1
                                    10-1                                500




                                    10-2
                                    10-2



                                            0    25   50      75         100    % GCC
         % Clay                            100   75   50      25          0

     Non-linear relationship between coating viscosity and blend ratio
12
How blending GCC with clay affects m?
                                   – Pigment Suspensions
                       68




                                  High viscosity
     m (High Shear)

                       64




                       60




                       56




                       52
                             0          25         50      75       100   % GCC
     % Clay                 100         75         50      25        0

                            Adding a small amount of GCC to clay suspension
                                       significantly decreases m
13
Coating Color Viscosity

                                            Clay/GCC Blend, 12 pph latex, 0.5 pph CMC
                              106

                              105

                              104
     Shear viscosity (Pa s)




                              103

                              102

                              101

                              100

                              10-1




                                                                                                                              47 vol.%
                                                                                                        35 vol.%
                                                                                                                   41 vol.%
                              10-2
                                  0.5   1     2       5      10        20   40   60   100
                                                   Shear stress (Pa)                        GCC 100%
                                                                                      Clay/GCC 75/25%
                                                                                            Clay 100%



14
Impact of replacement of latex by starch


     Without Starch              With Starch
       12 pph latex              9 pph latex
       0.5 CMC                   4.3 pph starch
                                 0.5 CMC




15
Impact of Binder Replacement on Coating Color Viscosity
                             – Clay-Based Coating Color


                              105

                              104
     Shear viscosity (Pa s)




                              103

                              102

                              101

                              100

                              10-1

                              10-2




                                                                                                             37 vol.%
                                                                                                                        40 vol.%
                                     1   2           6     10             20           40

                                              Shear stress (Pa)
                                                                                12 pph latex, 0.5 pph CMC                          42%
                                                                9 pph latex, 4.3 pph starch, , 0.5 pph CMC                         43%

                                             Similar Viscosity and Yield Stress
16
Impact of Binder Replacement on Coating Color Viscosity
                               – GCC-Based Coating Color


                              105

                              104
     Shear viscosity (Pa s)




                              103

                              102

                              101

                              100

                              10-1

                              10-2




                                                                                                                                      46 vol.%
                                                                                                                34 vol.%
                                                                                                                           40 vol.%
                                     1   2       5     10     20        40   60     100

                                                 Shear stress (Pa)
                                                                                   12 pph latex, 0.5 pph CMC
                                                                   9 pph latex, 4.3 pph starch, , 0.5 pph CMC

                                             Reduction of Viscosity and Yield Stress
17
Impact of Binder Replacement on Coating Color Viscosity
                        – 75/25% Clay/GCC-Based Coating Color


                              105
     Shear viscosity (Pa s)



                              104

                              103

                              102

                              101

                              100

                              10-1

                              10-2




                                                                                                               35 vol.%
                                                                                                                          41 vol.%
                                                                                                                                     47 vol.%
                                     1   2       5     10    20       40    60     100
                                                Shear stress (Pa)
                                                                                  12 pph latex, 0.5 pph CMC
                                                                  9 pph latex, 4.3 pph starch, , 0.5 pph CMC

                                             Reduction of Viscosity and Yield Stress
18
The starch replacement does not affect

         the microstructure so much as

               the pigment does.




19
Determination of Maximum Packing Fraction
                        (m)
                                                   Clay–GCC Blend
     Maximum Packing Fraction
                                0.52


                                0.50
                                                                                    m,0 m,
                                                                     With starch
                                0.48                                  No starch


                                0.46


                                0.44


                                0.42
                                       0   % GCC   25           50                 75           100
                                   100 % Clay      75           50                 25            0

                                100% Clay               Volume Blend Ratio               100% GCC
20
Yield Stress Results
                                                               Clay–GCC Blend




                                                                                                                         75/25% Clay/GCC
                         102




                                                                                                                                           100% GCC
                                                                                                             100% Clay
                                  100% Clay-based, no starch
                                  100% GCC-based, no starch
                                  75/25% Clay/GCC-based, no starch
     Yield Stress (Pa)




                                                                                           With Starch
                         101
                                                                                           No Starch
                                                                                           Yield Stress      0% 45% 45%

                                                                                             Viscosity        0% 10% 25%
                                                            100% Clay-based, with starch     at 100 s-1
                         100                                100% GCC-based, with starch        (not shown)
                                                            75/25% Clay/GCC-based, with starch

                           0.30           0.35             0.40            0.45            0.50
                                             Volume Fraction, 
21
Summary

      Focus on the impact of binder addition
      Investigated modifications on coating formulations by
        – Replacement of clay by GCC
             Pure clay coating colors behave quite differently than GCC-based blends,
              even if we have 75% clay in them
             Observed viscosity synergy at ~ 75/25% clay/GCC blend
        – Partial replacement of latex by starch
             Starch replacement did not modify yield stress and viscosity of clay-based
              coating color
             Observed 45% reduction in yield stress when GCC is present
             Observed 10 to 25% reduction in high shear viscosity when GCC is
              present
      Introduced a new Casson-type 3-parameter model
                                                
                                     2                        2
                                                                          
                                                                              

                                                           
                      * 1 
                           y          1     1 
                                                                        
                                                             
                          m ,0            m , 
                                                                      
                                                                          
                                        

22
Thank you!


     Questions?




23

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Models for the Rheology of Clay-GCC Coating Colors

  • 1. Models for the Rheology of Clay-GCC Coating Colors Saeid Savarmand* Pierre J. Carreau François Bertrand David J.-E. Vidal 2008 TAPPI 10th Advanced Coating Fundamentals Symposium *Presently at Sun Chemical Corp., Carlstadt, NJ 07072, USA.
  • 2. Rheology Controls Runnability and Quality Blade Coating Metering size press Wet streaks Orange peel Misting High shear Low shear viscosity High extensional viscosity / Yield stress viscosity / Yield Stress 1
  • 3. Objectives Gain new insights into how pigments and binders affect coating rheology • Replacement of CLAY with GCC • Partial replacement of LATEX with STARCH 2
  • 4. Coating Viscosity: Correlations with Solids Content at Fixed Shearing Condition 2 0     1        Low shear m ,0  Maron-Pierce (1956) 2     High shear  1     m ,    (m- ) determines  the viscosity level Material Resistance (Dimensionless) Liquid Solid 0  2  : suspension viscosity       1   : medium viscosity  m   : volume solids content m : maximum packing fraction 1 m  3
  • 5. Combined Impact of Shearing Condition and Solids Content on Coating Rheology Suspension Rheology of Non-Interacting Particles [ ]m ,0 0     1        (Krieger & Dougherty, 1959) m ,0  (01,  ) Shear Viscosity (02 , 2 )   0 1     1  ( / c ) n [ ]m ,      1     m ,     (1,  ) ( 2 , 2 ) Shear Rate or Shear Stress 4
  • 6. Combined Impact of Shearing Condition and Solids Content on Coating Rheology (II) High Solids Content or Interacting Particles Modified K-D Correlation   ( y1,  ) y     1  1 y  *     m ,0  Shear Viscosity ( y 2 ,  2 ) New 3-parameter model     (  ) y  [ ]m ,      1     m ,     (1,  ) ( 2 , 2 ) Shear Stress 5
  • 7. Rheology of Coating Coating Structure Suspensions ? Maximum Packing Fraction (m) 6
  • 8. Experiment: Material & Apparatus  Pigment  Clay Premier (Imerys)  Ground Calcium Carbonate (GCC) Hydrocarb 90 (Omya)  Ground Calcium Carbonate (GCC) Carbitol 60 (Imerys)  Latex: SBR CP 692NA (Dow Chemical)  Starch  Staley ICB-3000  CMC: Finnfix 10 (Noviant)  Dispersant: Dispex N40V (Ciba)  Apparatus  Rheometer: CVO 120 (Malvern)  Mixer: Cowles disperser (Premier Dispersator) 7
  • 9. Perception of Yield Phenomenon Creep Compliance, J Transient Shear Viscosity, t  (t ) 1 J (t ; )   J (t ; )  t      t  Yielding (A Transition) Transient Shear Viscosity, t (Pa s) 5 105 Solid-like behavior Creep Compliance, J (Pa-1) Shear Stress, 4 Solid- II III 104  (Pa) 7.2 like 7.0 I 3 behavior 103 6.8 6.5 Liquid- 6.0 like 5.5 102 5.0 2 behavior 4.5 Viscoelastic 101 1 behavior Liquid-like behavior 0 0 10 0 50 100 150 200 10-1 100 101 102 103 Time, t (s) Shear Strain,  8
  • 10. Proposed Model Fitted to a Clay-Based Coating Color Clay Coating Color: 47.3 vol.%; 12pph Latex; 0.5pph CMC; pH8 1.E+07 Data from Creep Test Exp 1.E+05  Shear Viscosity (Pa s)     (  ) y  1.E+03 Data from Steady 1.E+01 Shear Test 1.E-01 0 10 20 30 40 50 60 70 80 Shear Stress (Pa) 9
  • 11. Proposed Model Fitted to a GCC-Based Coating Color GCC Coating Color: 45.8 vol.%; 9 pph Latex; 4.3 pph Starch; 0.5pph CMC; pH8 1.E+05 Exp  Shear Viscosity (Pa s) 1.E+03     (  ) y  Measurement artifact due to the uneven shear stress 1.E+01 within the gap of Couette geometry 1.E-01 0 10 20 30 40 50 60 Shear Stress (Pa) 10
  • 12. Experimental Results Impact of replacing Clay by GCC in pure pigment suspensions 11
  • 13. How blending GCC with clay affects pigment suspension viscosity? .. 60% 68% (s )) 68% (s-1 -1 100 100 Shear viscosity (Pa s) 310 10-1 10-1 500 10-2 10-2 0 25 50 75 100 % GCC % Clay 100 75 50 25 0 Non-linear relationship between coating viscosity and blend ratio 12
  • 14. How blending GCC with clay affects m? – Pigment Suspensions 68 High viscosity m (High Shear) 64 60 56 52 0 25 50 75 100 % GCC % Clay 100 75 50 25 0 Adding a small amount of GCC to clay suspension significantly decreases m 13
  • 15. Coating Color Viscosity Clay/GCC Blend, 12 pph latex, 0.5 pph CMC 106 105 104 Shear viscosity (Pa s) 103 102 101 100 10-1 47 vol.% 35 vol.% 41 vol.% 10-2 0.5 1 2 5 10 20 40 60 100 Shear stress (Pa) GCC 100% Clay/GCC 75/25% Clay 100% 14
  • 16. Impact of replacement of latex by starch Without Starch With Starch 12 pph latex 9 pph latex 0.5 CMC 4.3 pph starch 0.5 CMC 15
  • 17. Impact of Binder Replacement on Coating Color Viscosity – Clay-Based Coating Color 105 104 Shear viscosity (Pa s) 103 102 101 100 10-1 10-2 37 vol.% 40 vol.% 1 2 6 10 20 40 Shear stress (Pa) 12 pph latex, 0.5 pph CMC 42% 9 pph latex, 4.3 pph starch, , 0.5 pph CMC 43% Similar Viscosity and Yield Stress 16
  • 18. Impact of Binder Replacement on Coating Color Viscosity – GCC-Based Coating Color 105 104 Shear viscosity (Pa s) 103 102 101 100 10-1 10-2 46 vol.% 34 vol.% 40 vol.% 1 2 5 10 20 40 60 100 Shear stress (Pa) 12 pph latex, 0.5 pph CMC 9 pph latex, 4.3 pph starch, , 0.5 pph CMC Reduction of Viscosity and Yield Stress 17
  • 19. Impact of Binder Replacement on Coating Color Viscosity – 75/25% Clay/GCC-Based Coating Color 105 Shear viscosity (Pa s) 104 103 102 101 100 10-1 10-2 35 vol.% 41 vol.% 47 vol.% 1 2 5 10 20 40 60 100 Shear stress (Pa) 12 pph latex, 0.5 pph CMC 9 pph latex, 4.3 pph starch, , 0.5 pph CMC Reduction of Viscosity and Yield Stress 18
  • 20. The starch replacement does not affect the microstructure so much as the pigment does. 19
  • 21. Determination of Maximum Packing Fraction (m) Clay–GCC Blend Maximum Packing Fraction 0.52 0.50 m,0 m, With starch 0.48 No starch 0.46 0.44 0.42 0 % GCC 25 50 75 100 100 % Clay 75 50 25 0 100% Clay Volume Blend Ratio 100% GCC 20
  • 22. Yield Stress Results Clay–GCC Blend 75/25% Clay/GCC 102 100% GCC 100% Clay 100% Clay-based, no starch 100% GCC-based, no starch 75/25% Clay/GCC-based, no starch Yield Stress (Pa) With Starch 101 No Starch Yield Stress 0% 45% 45% Viscosity  0% 10% 25% 100% Clay-based, with starch at 100 s-1 100 100% GCC-based, with starch (not shown) 75/25% Clay/GCC-based, with starch 0.30 0.35 0.40 0.45 0.50 Volume Fraction,  21
  • 23. Summary  Focus on the impact of binder addition  Investigated modifications on coating formulations by – Replacement of clay by GCC  Pure clay coating colors behave quite differently than GCC-based blends, even if we have 75% clay in them  Observed viscosity synergy at ~ 75/25% clay/GCC blend – Partial replacement of latex by starch  Starch replacement did not modify yield stress and viscosity of clay-based coating color  Observed 45% reduction in yield stress when GCC is present  Observed 10 to 25% reduction in high shear viscosity when GCC is present  Introduced a new Casson-type 3-parameter model    2    2             * 1  y    1     1            m ,0     m ,          22
  • 24. Thank you! Questions? 23