
Brookeld Engineering Labs., Inc. Page 59 Manual No. M03-165-F0612
Figure V1-15
When should you use it?
The Herschel-Bulkley model should be used with non-Newtonian, time-dependent materials that
haveayieldstress.Productswithayieldstressonlybegintoowafteracertainamountofshear
stressisapplied.Asaresult,theowcurveintersectsthey-axisatapointgreaterthan0.After
yielding,theproductcreatesaowcurveandbehavesasaPowerLawuidsothatnindicates
where there is a shear-thinning or shear-thickening tendency. (In this case, if n=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.TheresultsingureVI-2showthat
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
geldoesnotquitemeetspecication.Whiletheconsistencyindexiswithinspec,theyield
valueishigherthannormalsotheuidwillnotbegintoowaseasily.Withaowindex
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
°
= 51.0 dynes/cm
2
k = 8550 cP
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