Rheology basics

Liquids are categorized as Newtonian or non-Newtonian.

Newtonian liquids have constant viscosity across shear rates, non-Newtonian do not.

What does that mean?
Shear rate is the rate of deformation of the liquid.  Imagine that you drag a boat through the liquid – in a thin liquid the force required is less than in a thick liquid.  And the faster you drag the boat (= the higher the shear rate) the more force is required.  In rheology the force is expressed as shear stress (unit is pressure, Pascal) and the speed is expressed as shear rate (unit is reciprocal seconds, /s).

A plot of shear stress versus shear rate is called a “flow curve”. Measuring shear stress and viscosity across a range of shear rates is called “viscometry”.

In a Newtonian liquid the force required is proportional to the speed – the ratio between shear stress and shear rate is the viscosity (unit is Pa·s).

Examples of Newtonian liquids are water, oil and honey, going from thin to thick, or from low to high viscosity.

Shear Thinning Liquids
Non-Newtonian liquids do not behave in the same way.  It does get harder to drag the boat when you go faster, but not proportionally.  Most thick liquids are shear thinning, meaning that it gets relatively easier as shear rate is increased – the viscosity drops as shear rate is increased. Some, more rare cases exist, when viscosity is increasing with shear rate.

Why is this important for process control?
Today many companies have installed in-line viscometers for process control purposes.  A viscometer measures the viscosity at one shear rate.

However, even if the viscosity at the chosen shear rate is constant and remains within the control range, it may represent very different liquids as seen in the figure:  Three liquids, measured at a given shear rate have same shear stress and viscosity, but below and above this point they are very different.

In contrast, measuring with RheoStream will provide shear stress and viscosity values across a range, making it possible to differentiate the three liquids clearly.

Yield Stress Liquids
Many non-Newtonian liquids are also characterized by having Yield Stress. Yield stress means that when an increasing force is applied, the liquid does not start flowing until a certain threshold is surpassed. Or, in the example with the boat, you need to overcome a certain drag in the boat, before it starts moving.

In classical laboratory rheology there are many ways of measuring yield stress.  One method is to model the flow curve (shear stress versus shear rate) in a linear model or in a model taking the curvature into account. Yield stress is found as one parameter in such a model.

The same approach works with RheoStream – points on a flow curve are fitted to a model, giving a measure of yield stress (see also Keeping a coating process on track)

Viscoelastic Liquids
Many viscous liquids have an elastic behavior – the may “bounce back”. RheoStream can measure this property also.

Classically, in a laboratory setting, viscoelasticity is characterized by an oscillatory movement, across a range of frequencies.

The elastic property (the liquid absorbs energy and releases it again) is measured as a “storage modulus” and the viscous property (the liquid flows under the force applied) is the “loss modulus”, also labelled G’ and G’’, respectively (unit is pressure, Pa).

In RheoStream, the flow at various flow rates corresponds to a range of frequencies, and the instrument can be calibrated to measure and read out G’ and G’’ for viscoelastic liquids.

Fluidan ApS
CVR: 36392355

Contact

Fridolin Okkels, CTO
+45 2537 8686

Anders L. Østergård, CEO
+45 2374 5664

Email: info@fluidan.com

Contact

Fridolin Okkels, CTO
+45 2537 8686

Anders L. Østergård, CEO
+45 2374 5664

Email: info@fluidan.com

Address

Diplomvej 381
2800 Kgs. Lyngby
Denmark

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