Topics Covered
Background
Designing and Interpreting Rheological Tests to Optimize Sample
Stability
Zero Shear Viscosity
Yield Stress of a Material
Yield Stress and Stability of a Suspension
Thixotropy and Viscosity
Cohesive Energy
Viscoelastic Characteristics of Gels
Viscoelastic Characteristics of Liquids
Creep Test
Low Shear Viscosity and Particle-Particle Interactions
Low Shear Viscosity and Particle Size Distribution
Background
Malvern is a leading supplier of analytical solutions for
particle characterization and rheological applications. Advanced measurement technologies
are combined with robust mechanical designs and comprehensive data handling and
automation software, to provide systems that are relevant across a wide range of
industrial and fundamental research applications.
Material characterization data such as size distribution, particle shape,
zeta potential, molecular weight, and bulk material properties, can be
accurately and reproducibly measured using instruments from the Malvern range. Technologies used include laser diffraction,
image analysis, laser Doppler electrophoresis, static and dynamic light
scattering, capillary rheometry and strain controlled and stress controlled
rheometry.
Designing and Interpreting Rheological Tests to Optimize
Sample Stability
The following ten points highlight general methods of designing and interpreting
rheological tests to optimize sample stability. These points
are particularly applicable to colloidal systems (for which the size of the
dispersed phase is <1µm) such as:
- Emulsions i.e. liquid-in-liquid systems such as routinely used in paints and
coatings, foodstuffs, adhesives, agrochemicals, cosmetics, personal care and
pharmaceutical formulations
- Sols i.e. solid-in-liquid systems such as inks, paints and coatings, food
and drink, cosmetics and personal care and pharmaceutical formulations
Even classical non-colloidal systems such as large particle (> 1µm)
dispersions, including applications of the type mentioned above, as well as
mining and mineral slurries, cement and ceramics, can also be evaluated with the
same methods. Each test focuses on one property of the material and discusses
optimization to help facilitate sample stability.
Zero Shear Viscosity
The zero shear viscosity is the viscosity of a material at a shear rate of
zero; in other words the viscosity at rest which is typically the conditions to
use when studying stability. The material is undergoing no signifi cant
deformation forces apart from that of gravity.
The higher the viscosity at lower shear rates, the higher resistance there is
for any suspended particles to sediment (i.e. flow) to the bottom of the
sample.
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Yield Stress of a Material
The highest zero shear viscosity possible would be infinity – basically a
very weak solid! This is an infinite resistance to flow under no shear stress,
which is the definition of yield stress. Introducing a yield stress to a
material will effectively make the material behave like a solid at rest which by
nature resists any suspended material from settling.
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Yield Stress and Stability of a Suspension
A yield stress typically signifies a solid like behaviour at rest which can
inhibit settling. However, the actual yield stress value itself can have a range
of values; the higher the value, the more resistance this structure has to
settling. A suspension will therefore be more stable with a higher value of
yield stress.
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Thixotropy and Viscosity
Even though stability is effectively a process at rest, most materials are
transported or moved from one place to another. When this happens forces /
conditions more severe than at rest can occur. Typical dispersion systems are
shear thinning, so the viscosity will reduce under these conditions which can
increase the ability of the material to settle. By minimising the thixotropy you
can minimise the time the sample stays at these low viscosities.
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Cohesive Energy
The cohesive energy is a measure of the elastic strength of the material. As
the elastic strength is basically a measure of the strength of the internal
structure, the higher the cohesive energy the more stable a system is. The
cohesive energy can be calculated by recording an amplitude sweep on the
material and then taking the strain limit of the Linear Viscoelastic Region
(LVR), squaring it, and multipying it by half of the magnitude of the storage
modulus in the LVR.
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Viscoelastic Characteristics of Gels
By recording the viscoelastic spectrum of the material with a frequency
sweep, the materials properties under different time scales can be recorded. As
sedimentation and settling is a long time scale process, it is necessary to
study what happens at reducing frequencies. Viscoelastic liquids tend to have
the worst stability (everything else being equal), as under low frequencies the
phase angle is increasing. A high phase angle indicates that the material, and
therefore the suspended particles, can flow and settle if you leave it long
enough.
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To lessen this effect, a gel like system, where the phase angle is
independent of frequency, will show a more solid-like behaviour at low
frequencies. Having a gel with a high phase angle will still give a material
with some liquid like particles at the higher frequencies if that is
required.
Viscoelastic Characteristics of Liquids
Although a gel like sample can show improved stability than that of a viscoelastic
liquid, for some systems with large or heavy particles, this gel structure might
still be insuffient to prevent sedimentation. In this case a viscoelastic solid-like
response from a frequency sweep, will mean that at the low frequencies (where
settling occurs) the phase angle approaches zero. A low phase angle indicates
that the material behaves like a solid. So the lower the phase angle, at lowering
frequencies will show the most viscoelastic solid-like characteristics, which
will be inherently a more stable system.
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Creep Test
A creep test allows a materials resistance to flow under small constant
forces, such as gravity, to be determined. Using a creep test to apply a small
force, is a very sensitive measure of how the material will resist the force of
gravity; the smaller the resultant movement (strain) the less likely it is to be
unstable.
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Low Shear Viscosity and Particle-Particle Interactions
Low shear viscosity (such as zero shear) is affected by particle to particle
interactions. Therefore, to increase the number of particle-particle
interactions you simply need to increase the number of particles in a system.
This can be easily achieved by making the particles smaller, so for the same
given mass of particles there will be more particles.
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Low Shear Viscosity and Particle Size Distribution
If it not possible to change the average particle size in the system, a
change in particle size distribution can also affect the low shear viscosity,
and therefore the stability. Particles which have a wide span / distribution
(large polydisperity) tend to pack better than a system of particles with a
narrow distribution. This basically means that for a wide distribution,
particles have more free space to move around, which therefore means it is
easier for the sample to flow, i.e. has a lower viscosity. So, tightening up the
particle distribution (i.e. reducing the polydispersity) can increase the
stability of a system.
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Source: "10 ways to...Optimize rheology to increase dispersion /
colloidal / emulsion stability" Application Note from Malvern
Instruments
For more information on this source please visit Malvern Instruments Ltd
(UK) or Malvern
Instruments (USA).