
Brookeld Engineering Labs., Inc. Page 86 Manual No. M13-2100
When should you use it?
TheHerschel-Bulkleymodelshouldbeusedwithnon-Newtonian,time-dependentmaterialsthat
haveayieldstress.Productswithayieldstressonlybegintoowafteracertainamountofshear
stressisapplied.Asaresult,theowcurveintersectsthey-axisatapointgreaterthan0.After
yielding,theproductcreatesaowcurveandbehavesasaPowerLawuidsothatnindicates
wherethereisashear-thinningorshear-thickeningtendency.(Inthiscase,ifn=1,thematerial
isbehavingasaBinghamuid,whichisdiscussednext.)
An Example of the Herschel-Bulkley Model at Work
A company uses a gel-like substance as part
of their production process. Upon arrival
they test the material and apply the Herschel-
Bulkley model to ensure it will perform
correctly during process. The results in Figure
VII-2 show that the consistency index is 8,550
cP, the ow index is 0.66, and the yield stress
is 51.0 dynes/cm
2
. These results indicate that
this batch of gel does not quite meet specication. While the consistency index is within
spec, the yield value is higher than normal so the uid will not begin to ow as easily. With
a ow index of 0.66, this batch is also less shear thinning than normal. Pump and mixer
speeds must be adjusted before using this material.
Gel-Like Substance
n = 0.66
τ
o
= 51.0 dynes/cm
2
k = 8550 cP
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