Brookfield DV-III Ultra Rheometer User Manual

Page 62

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Brookfield Engineering Laboratories, Inc.

Page 62

Manual No. M/98-211-B0104

Brookfield Engineering Laboratories, Inc.

Page 62

Manual No. M98-211-E0912

When should you use it?
The Casson model should be used with non-Newtonian materials that have a yield stress and that

do not exhibit a “Newtonian-like” behavior once they begin to flow. This model is most suitable

for fluids that exhibit Pseudoplastic or shear thinning, flow behavior after yielding.

These fluids have a non-linear flow curve. The point at which it crosses the y-axis is the product’s

yield stress (

t

o

). To protect the point at which the curve will intersect with the y-axis, the Casson

model linearizes or straightens the plot by taking the square root of the data. To ensure accurate

extrapolation to yield stress it is best to take some data at low shear rates.

An Example of the Casson Model at Work

Before releasing a new over the counter gel, a

pharmaceutical company needs to learn how

it will behave which it is being used by the

end consumer. They perform a full viscosity

profile and apply the Casson model. From the

results, shown in Figure VI-4, they learn that

their ointment has a higher yield stress,

t

o

, and

lower plastic viscosity,

η

, than they originally

intended. As a result it is difficult or dispense

from its container (due to the high yield stress) and it does not hold it shape very well (due

to the low plastic viscosity), making it difficult to apply a small amount to the affected area

of the skin. Based on this data, formulators are able to modify the ingredients accordingly.

Once a formulation is established, multi-point tests and the Casson model are performed as a

QC tool to check batches before and after processing.

Pharmaceutical Gel

Plastic Viscosity (

η

) = 329.8 cP

Yield Stress (

t

o

) = 325.8 dynes/cm

2

IV.7.5 Other Rheological Models

The NCA/CMA Casson Model

(1 + a)

t

=

2 t

o

+

(1 + a)

ηg

(

t

= shear stress

,

t

o

= yield stress,

η

= plastic viscosity, and

= shear rate)

The NCA/CMA Casson model is designed by the National Confectioners Association and the

Chocolate Manufacturers Association as the standard rheological model for the industry. This

model determines yield and flow properties under specified conditions and closely approximates

the plastic behavior of chocolate before final processing.

.

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