Brookfield DV-I Prime Bedienungsanleitung Seite 34

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Brookeld Engineering Laboratories, Inc. Page 34 Manual No. M/07-022-D0613
II.12.3 The Bingham Model
t =
t
o
+
hD
(
t
= shear stress,
t
o
= yield stress, h = plastic viscosity, and D = shear rate)
What does it tell you?
The Bingham model indicates a product’s yield stress,
t
o
, which is the amount of shear stress
required to initiate ow. It also provides the plastic viscosity,
h, which is the viscosity after a
product yields.
Figure II-45
When should you use it?
This model should be used with non-Newtonian materials that have a yield stress and then behave
in a Newtonian fashion once they begin to ow. As a result, the shear stress-shear rate plot forms
a straight line after yielding. (Products that have a yield stress only begin to ow after a certain
amount of shear stress is applied. They are also called “viscoplastic”. Their shear stress vs. shear
rate graphs intersect the y-axis at a point greater than 0.)
An Example of the Bingham Model at Work
A manufacturer of drilling uid applies the
Bingham Model to ensure the quality of their
product. Results from a recent batch, shown
in Figure II-45, showed that the yield stress
and plastic viscosity were both below the
pass/fail criteria, which would cause the uid
to insuciently hold-up the cuttings. The
shipment was cancelled and the root-cause
of the problem was identied.
Drilling Fluid
Plastic Viscosity (
h) = 6621 cP
Yield Stress (
t
o
) = 166.4 dynes/cm
2
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