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Manual for the Design of Pipe Systems and Pumps - GEA ...

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3.6 Fluid<br />

behaviour<br />

The flow curve is a diagram which shows <strong>the</strong> correlation between viscosity (η) <strong>and</strong> <strong>the</strong> shear<br />

rate (D). The shear rate is calculated from <strong>the</strong> ratio between <strong>the</strong> difference in flow velocity <strong>of</strong><br />

two adjacent fluid layers <strong>and</strong> <strong>the</strong>ir distance to eacho<strong>the</strong>r.<br />

The flow curve <strong>for</strong> an ideal fluid is a straight line. This means constant viscosity at all shear<br />

rates. All fluids <strong>of</strong> this characteristic are "Newtonian fluids". Examples are water, mineral oils,<br />

syrup, resins.<br />

Fig. 6 - Flow curves<br />

Fluids that change <strong>the</strong>ir viscosity in dependence <strong>of</strong> <strong>the</strong> shear rate are called<br />

"Non-Newtonian fluids". In practice, a very high percentage <strong>of</strong> fluids pumped are<br />

non-Newtonian <strong>and</strong> can be differentiated as follows:<br />

Intrinsically viscous fluids<br />

Viscosity decreases as <strong>the</strong> shear rate increases at high initial <strong>for</strong>ce. This means from <strong>the</strong><br />

technical point <strong>of</strong> view that <strong>the</strong> energy after <strong>the</strong> initial <strong>for</strong>ce needed <strong>for</strong> <strong>the</strong> flow rate can be<br />

reduced. Typical fluids with above described characteristics are a.o. gels, Latex, lotions.<br />

Dilatent fluids<br />

Viscosity increases as <strong>the</strong> shear rate increases. Example: pulp, sugar mixture<br />

Thixotropic fluids<br />

Viscosity decreases with strong shear rate (I) <strong>and</strong> increases again as <strong>the</strong> shear rate decreases (II).<br />

The ascending curve is however not identical to <strong>the</strong> descending curve. Typical fluids are a.o.<br />

soap, Ketchup, glue, peanut butter<br />

Viscosity<br />

Δy<br />

Fig. 5 - Shear rate<br />

Viscosity<br />

II<br />

Shear rate<br />

Shear rate<br />

Fig. 7 - Thixotropic fluids<br />

I<br />

Δv<br />

13<br />

<strong>GEA</strong> Tuchenhagen<br />

v<br />

3 1 Newtonian<br />

fluids<br />

1<br />

2<br />

D = Δv<br />

Δy<br />

2 Intrinsically<br />

viscous fluids<br />

3 Dilatent fluids

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