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Iii. calculations iii. dynamic viscosity, Η = t(ρ – Brookfield Falling Ball KF20 User Manual

Page 13

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Brookfield Engineering Labs., Inc.

Page 3

Manual No. M09-352-B04

III. CALCULATIONS

III. Dynamic Viscosity

With Newtonian liquids absolute values of the dynamic viscosity are calculated, where as,

for non-Newtonian liquids, relative values of the dynamic viscosity (apparent viscosity) are

calculated.

The dynamic viscosity is calculated according to the following equation:

Equation 1:

η = t(ρ

1

-

ρ

2

)K

F

where:

η

dynamic viscosity [

mPa•s

]

t

travelling time of the ball [s]

ρ

1

density of the ball according to the test certificate [g/cm

3

]

ρ

2

density of the sample [g/cm

3

]

K

ball constant according to test certificate [mPa·cm

3

/g]

F

working angle constant

Angle of inclination a

(applied to the level)

Working angle constant F

80° (DIN)

1.0

70°

0.952

60°

0.879

50°

0.778

The density and ball constant are each stated in the test certificate.

Consideration for buoyancy of the ball in the sample is accounted for by means of (ρ

1

2

) in

equation (1).

The density of the sample can be determined by:

• referring to the material specifications from the manufacturer of the fluid

• measuring with a densitometer

Note: Be sure to measure the sample density at the same temperature at which the viscosity

will be measured.

The density of the sample must be determined exactly when the amount (ρ

1

2

) becomes small.

The use of the glass ball requires the determination of the density of the sample ρ

2

to the 3rd

decimal position in g/cm

3

. For metal balls, the 2nd decimal position is sufficient. For glass

balls, the density of the measuring substance is determined to 0.001 g/cm

3

, for metal balls to

0.01 g/cm

3

.

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