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Particle Size Analysis

Date post: 14-Apr-2016
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Particle Size analysis using arithmetic, quadratic, cubic, harmonic and geometric mean.
27
Size Cumulative % Undersize Area 0 0 0 2 0.1 0.001 2.8 0.5 0.005 4 2.7 0.027 5.6 9.6 0.096 8 23 0.23 11.2 47.9 0.479 16 73.8 0.738 22.4 89.8 0.898 32 97.1 0.971 44.8 99.2 0.992 64 99.8 0.998 89.6 100 1
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Page 1: Particle Size Analysis

Size Cumulative % Undersize Area0 0 02 0.1 0.001

2.8 0.5 0.0054 2.7 0.027

5.6 9.6 0.0968 23 0.23

11.2 47.9 0.47916 73.8 0.738

22.4 89.8 0.89832 97.1 0.971

44.8 99.2 0.99264 99.8 0.998

89.6 100 1

Page 2: Particle Size Analysis

Cumulative area Fv [y] 1/x [x]0 0 0 0

0.001 0.001 0.001 0.50.0024 0.0034 0.005 0.3571430.0192 0.0226 0.027 0.250.0984 0.121 0.096 0.1785710.3912 0.5122 0.23 0.1251.1344 1.6466 0.479 0.0892862.9208 4.5674 0.738 0.06255.2352 9.8026 0.898 0.0446438.9712 18.7738 0.971 0.03125

12.5632 31.337 0.992 0.02232119.104 50.441 0.998 0.015625

25.5744 76.0154 1 0.011161

Page 3: Particle Size Analysis

Area under Fv vs 1/x Cumulative area uder Fv vs 1/x0 0

0.00025 0.000250.0004285714 0.00067857140.0017142857 0.00239285710.0043928571 0.00678571430.0087321429 0.01551785710.0126607143 0.02817857140.0162991071 0.04447767860.0146071429 0.0590848214

0.012515625 0.07160044640.0087633929 0.08036383930.0066629464 0.08702678570.0044598214 0.0914866071

Page 4: Particle Size Analysis

Surface Distribution Fs Area under Fs vs x Cumulative area under Fs vs x0 0 0

0.0027326404 0.0027326404 0.00273264040.0074171668 0.0040599229 0.00679256330.0261552725 0.0201434636 0.02693602690.0741716684 0.0802615527 0.10719757970.1696188943 0.2925486752 0.39974625480.3080076124 0.7642024106 1.16394866540.4861660079 1.9060166886 3.0699653540.6458302835 3.6223881325 6.69235348660.7826330942 6.8566242131 13.54897769970.8784219002 10.6307519641 24.17972966380.9512516469 17.5648660518 41.7445957156

1 24.9760210804 66.720616796

Page 5: Particle Size Analysis

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.550

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

Fv vs 1/x

1/x

Fv

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

F vs x

% vs x

Page 6: Particle Size Analysis

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

F vs x

% vs x

Page 7: Particle Size Analysis

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.550

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

Fv vs 1/x

1/x

Fv

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

F vs x

% vs x

Page 8: Particle Size Analysis

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

F vs x

% vs x

Page 9: Particle Size Analysis

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

Fs vs x

Fs vs x

Page 10: Particle Size Analysis
Page 11: Particle Size Analysis

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

0.3

0.4

0.5

0.6

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0.8

0.9

1

1.1

Fs vs x

Fs vs x

Page 12: Particle Size Analysis
Page 13: Particle Size Analysis

Size Cumulative % Undersize % divided by 100, F Area under F vs x2 0.1 0.001 0

2.8 0.5 0.005 0.00964 2.7 0.027 0.0748

5.6 9.6 0.096 0.33128 23 0.23 0.9112

11.2 47.9 0.479 2.390416 73.8 0.738 3.5224

22.4 89.8 0.898 3.07232 97.1 0.971 1.9856

44.8 99.2 0.992 0.806464 99.8 0.998 0.3264

89.6 100 1 0.153613.5836

arithmetic mean 13.5846quadratic mean 16.1202034727cubic mean 19.2787132627harmonic mean 9.8138006572geometric mean 11.5072460562

Page 14: Particle Size Analysis

1/x Area under F vs 1/x x^2 Area under F vs x^20.5 0 4 0

0.3571428571 0.0017142857 7.84 0.023680.25 0.0066785714 16 0.26224

0.1785714286 0.0147857143 31.36 1.633920.125 0.0203392857 64 6.38912

0.0892857143 0.0266785714 125.44 23.585280.0625 0.01965625 256 49.39648

0.0446428571 0.0085714286 501.76 60.62080.03125 0.0027700893 1024 55.69024

0.0223214286 0.0005625 2007.04 31.825920.015625 0.0001138393 4096 18.30912

0.0111607143 2.67857142857E-005 8028.16 12.124160.1018973214 259.86096

Page 15: Particle Size Analysis

X^3 Area under F vs. x^3 lnx Area under F vs ln x8 0 0.693147 0

21.952 0.059904 1.029619 0.003445533264 0.945472 1.386294 0.0265750516

175.616 8.266752 1.722767 0.1072626031512 46.070272 2.079442 0.2547479453

1404.928 238.657536 2.415914 0.55967173734096 712.370176 2.772589 0.6719110738

11239.424 1226.83392 3.109061 0.470531974532768 1606.270976 3.465736 0.2399800855

89915.392 1288.175616 3.802208 0.0763134124262144 1056.178176 4.158883 0.0238832737

719323.14 981.467136 4.495355 0.00865423847165.295936 2.4429769288

Page 16: Particle Size Analysis

0 10

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

F vs 1/x

F vs 1/x

1/x

F

0 1000 2000 3000 4000 5000 6000 7000 8000 90000

0.1

0.2

0.3

0.4

0.5

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0.7

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1

1.1

F vs. x^2

F vs. x^2

Page 17: Particle Size Analysis

0 1000 2000 3000 4000 5000 6000 7000 8000 90000

0.1

0.2

0.3

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0.9

1

1.1

F vs. x^2

F vs. x^2

Page 18: Particle Size Analysis

0 10

0.1

0.2

0.3

0.4

0.5

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0.7

0.8

0.9

1

1.1

F vs 1/x

F vs 1/x

1/x

F

0 1000 2000 3000 4000 5000 6000 7000 8000 90000

0.1

0.2

0.3

0.4

0.5

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0.8

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1

1.1

F vs. x^2

F vs. x^2

Page 19: Particle Size Analysis

0 1000 2000 3000 4000 5000 6000 7000 8000 90000

0.1

0.2

0.3

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0.5

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0.9

1

1.1

F vs. x^2

F vs. x^2

Page 20: Particle Size Analysis

0 10

0.1

0.2

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0.5

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0.7

0.8

0.9

1

1.1

F vs 1/x

F vs 1/x

1/x

F

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

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1

1.1

F vs x

F vs x

0 100000 200000 300000 400000 500000 600000 700000 8000000

0.1

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1

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F vs. x^3

F vs. x^3

Page 21: Particle Size Analysis

0 100000 200000 300000 400000 500000 600000 700000 8000000

0.1

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F vs. x^3

F vs. x^3

Page 22: Particle Size Analysis

0 10 20 30 40 50 60 70 80 90 1000

0.1

0.2

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0.9

1

1.1

F vs x

F vs x

0 100000 200000 300000 400000 500000 600000 700000 8000000

0.1

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1

1.1

F vs. x^3

F vs. x^3

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1.1

F vs. lnx

F vs. lnx

Page 23: Particle Size Analysis

0 100000 200000 300000 400000 500000 600000 700000 8000000

0.1

0.2

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1

1.1

F vs. x^3

F vs. x^3

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1.1

F vs. lnx

F vs. lnx

Page 24: Particle Size Analysis

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1.1

F vs. lnx

F vs. lnx

Page 25: Particle Size Analysis

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1

1.1

F vs. lnx

F vs. lnx

Page 26: Particle Size Analysis

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1.1

F vs. lnx

F vs. lnx

Page 27: Particle Size Analysis

0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.1

0.2

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1

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F vs. lnx

F vs. lnx


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