Brookfield DV-III Ultra Rheometer User Manual

Page 52

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Brookfield Engineering Laboratories, Inc.

Page 52

Manual No. M/98-211-B0104

Brookfield Engineering Laboratories, Inc.

Page 52

Manual No. M98-211-E0912

Model: HB Spindle: 34

Plastic Viscosity: 1906.3 cP

Yield Stress:

1976.88 D/CM2

Confidence of Fit: 63.6

%

The equation for each model is described below with a definition of parameters. Please contact

Brookfield or an authorized representative if further information is required.

Note:

The confidence of fit parameter used in all of the models is an indication

of how well the model fits the data set. 100% indicates the best fit.

1. Casson (Standard)

The Standard Casson equation is:

√τ = √τ

o + √η

D where:

τ

= Shear Stress

τ

o

= Yield Stress (stress at zero shear rate)

η

= Plastic Viscosity

D = Shear Rate

The calculated parameters for this model are:

Plastic Viscosity

(cP or mPa•s)

Yield Stress

(Dynes/cm2 or N/m2)

Confidence of Fit

(%)

The Standard Casson method is a direct implementation of the original Casson equation.

2. NCA/CMA Casson (Chocolate)

This Casson method is derived from the standard set forth by the National Confectioners Association

(NCA) and the Chocolate Manufacturers Association (CMA). Although based on the original

Casson equation, this implementation has been tailored by the NCA and CMA specifically to

applications involving chocolate.

The Chocolate Casson equation is:

(1+a)√τ = 2√τo + (1+a)√η

D where:

τ

= Shear Stress

τ

o

= Yield Stress (stress at zero shear rate)

η

= Plastic Viscosity

D = Shear Rate

a

= spindle (or bob) radius/ inner cup radius

The calculated parameters for this model are:

Plastic Viscosity (cP or mPa•s)

Yield Stress

(Dynes/cm2 or N/m2)

Confidence of Fit (%)

3. Bingham Plastic

The Bingham equation is:

τ = τ

o + η

D where:

τ

= Shear Stress

τ

o

= Yield Stress (stress at zero shear rate)

η

= Plastic Viscosity

D = Shear Rate

The calculated parameters for this model are:

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