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10 3
η (0) Pa s
η ( ) Pa s
Hard spheres
ϕ
10 2
=0.605 [ η] =2.5
10 1
10 0
10 -1
10 -2
10 -3
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
volume fraction, ϕ
Figure 5.12 The measured viscosity as a function of volume fraction at the low and
high shear rate limits. This is the data for the system with the pair
potential shown in Figure 5.9.
1
0.1
0.01
0.2
0.25
0.3
0.35
0.4
0.45
0.5
0.55
0.6
volume fraction, ϕ
Figure 5.13 The relaxation time versus volume fraction for a system with the pair
potential shown in Figure 5.9.
they obviously will not take account of the role of the solvent medium in
colloidal systems. Many of these models depend upon the notion that the
applied shear field distorts the local microstructure. The mathematical conse-
quence of this is that they rely on the rate of change of the pair-distribution
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