Environmental Engineering Reference
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Fig. 5.2 A rheogram showing different non-Newtonian
fl
uids
Table 5.2 Different rheological models for laminar suspension
fl
ow (see also Darby [ 175 ], Hanks
[ 176 ], Steffe [ 177 ])
Rheological model
Equation
Equation number
d y
Bingham
(5.14)
d v
s ¼ s 0 þ g B
d y n 1
Power law (Ostwald-de-Waele)
(5.15)
d v
s ¼ K 1
0 : 5
Casson
(5.16)
þ g C d v
0 : 5
s 0 : 5
¼ sðÞ
d y
d y n
Herschel
Bulkley
(5.17)
-
d v
s ¼ sðÞþ K 1
Papanastasiou [ 187 ]
þ g P d v
(5.18)
s ¼ s 0 1 e m d v
d
y
d y
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