Newtonian & non-Newtonian Presentation Final
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dV1
d
Shear stress, t
𝛾 =𝑉1
𝑑𝜂 =
𝜏
𝛾
F
F
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•
𝜂 =𝜏
𝛾 𝛾 ~ 𝑄
𝜏 ~ Δ𝑃
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1
1.2
1.4
1.6
1.8
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2.2
2.4
2.6
2.8
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0 2000 4000 6000 8000 10000 12000 14000
Vis
cosi
ty, m
Pa -
s
Shear Rate, 1/s
η = 1.93
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1.2
1.4
1.6
1.8
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2.2
2.4
2.6
2.8
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0 2000 4000 6000 8000 10000 12000 14000
Vis
cosi
ty, m
Pa -
s
Shear Rate, 1/s
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0
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0 2000 4000 6000 8000 10000 12000 14000 16000
She
ar S
tre
ss, P
a
Shear Rate, 1/s
0
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0 2000 4000 6000 8000 10000 12000 14000 16000
She
ar S
tre
ss, P
a
Shear Rate, 1/s
𝜏 = 0.00193 𝛾1
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10 100 1000
Vis
cosi
ty, m
Pa-
s
Shear Rate, 1/s
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10 100 1000
Vis
cosi
ty, m
Pa-
s
Shear Rate, 1/s
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𝜂 = 𝐾 𝛾𝑛−1
𝜂
𝛾
𝜂
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0
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10 100 1000
Vis
cosi
ty, m
Pa-
s
Shear Rate, 1/s
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y = 2177.1x-0.698
0
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10 100 1000
Vis
cosi
ty, m
Pa-
s
Shear Rate, 1/s
y = 38.949x-0.008
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10 100 1000 10000 100000
Vis
cosi
ty, c
P
Shear Rate, 1/s
y = 38.949x-0.008y = 44.283x-0.028
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10 100 1000 10000 100000
Vis
cosi
ty, c
P
Shear Rate, 1/s
y = 38.949x-0.008y = 44.283x-0.028
y = 64.675x-0.071
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10 100 1000 10000 100000
Vis
cosi
ty, c
P
Shear Rate, 1/s
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10 100 1000 10000 100000
Vis
cosi
ty, c
P
Shear Rate, 1/s
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(a) A. Allmendinger, Eur. J. Pham. Biopharm. 87 (2014)Shear thinning at 2,000 1/s or higher
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η ∝ 𝐹𝑎𝑝𝑝𝑙𝑖𝑒𝑑Abdoulaye Fall, N. Huang, F. Bertrand, G. Ovarlez, Daniel Bonn
arXiv:0709.3171 [cond-mat.soft]η𝑎𝑐𝑡𝑢𝑎𝑙 = η𝑒𝑥𝑝𝑒𝑐𝑡𝑒𝑑 × 100
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𝜸 = 𝜸𝒂𝒑𝒑
32 +
𝒅 𝐥𝐧 𝜸𝒂𝒑𝒑
𝒅 𝐥𝐧 𝝉
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0.01 0.1 1 10 100 1000 10000 100000 1000000 10000000
Shear Rate, 1/s
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Injectability & Lubrication
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Scre
en
Pri
nti
ng
Auto Oil
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Additional Customization (i.e.: 20µl Sample Volume Testing )
Listed in USP
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