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Tracing the centrifugal separation of fine-particle slurries
Effect of centrifugal acceleration, particle interaction and concentration
T. Sobisch*, D. Lerche, L.U.M. GmbH, Berlin, www.lum-gmbh.com, info@lum-gmbh.de
M. Beiser, A. Erk, Institut für Mechanische Verfahrenstechnik und Mechanik, Universität Karlsruhe (TH)
Unit processes using centrifugal fields are often applied for separation and classification of fine grained materials. Modelling of these processes requires information about the separation behaviour of the suspensions to be processed. To this end direct measurements in centrifuges are obligatory. Moreover, these measurements have to gather kinetic information as function of the processing conditions, particle interaction and particle concentration.
As a first step in this direction the separation behaviour of quartz (stable dispersions) and limestone suspensions (weakly and strongly flocculated) was investigated as function of solid concentration and centrifugal acceleration (11 – 1100 x g) using a multisample analytical centrifuge.
Particle interactions are characterized by determination of the packing density obtained under controlled conditions and by its variations under alternating centrifugal load.
Results of analytical centrifugation are compared with the separation behaviour under normal gravity and with the results traced by a centrifuge with manometric detection.
Centrifugation, solid-liquid separation, sedimentation, classification, physico-chemical aspects
Presentation at the Cosmetics and Colloids conference
Tuesday 15 February - SCI, 14/15 Belgrave Square, London, UK
Organized by the SCI Colloid and Surface Chemistry Group, the SCI Biotechnology Group, the RSC Colloid and Interface Science Group and the Society of Cosmetic Scientists
Rapid characterization of emulsions for emulsifier selection, quality control and evaluation of stability using multisample analytical centrifugation
T. Sobisch, D. Lerche, L.U.M. GmbH
Rudower Chaussee 29 (OWZ) 12489 Berlin / Germany
Selection of emulsifiers and evaluation of emulsion stability is a frequent task in the cosmetic sector. This relates to practical issues like formulation of emulsions, optimization of manufacturing, quality control, and shelf life prediction.
A multisample technique based on analytical centrifugation is presented which allows for an accelerated study of creaming and of separation of oil and water phases. Not only information on the extent of phase separation is provided but also the kinetics are directly measured in-situ. The latter is of great practical importance for estimation of shelf life and in relation to the engineering of separation processes.
Results of investigations on emulsion stability behaviour as function of polarity and composition of nonionic emulsifiers, polarity of the oil phase, preparation conditions and of temperature are presented.
The investigations revealed that the method applied is very suitable for screening purposes, optimization of emulsion manufacturing and that time of investigation and centrifugal acceleration can be adapted to avoid conditions were centrifugal forces are the determining factor for phase separation.
Keywords: emulsion stability, analytical centrifugation, emulsion preparation, emulsifier and demulsifier selection, oil-in-water and water-in-oil-emulsions
Selection of emulsifiers and evaluation of emulsion stability is a frequent task. This relates to practical issues like formulation of emulsions, optimization of manufacturing, quality control, shelf life prediction and breaking of emulsions.
A multisample technique based on analytical centrifugation is described which allows for an accelerated characterization of emulsions without dilution, thus avoiding changes of emulsion properties.
The Lumifuge measures the intensity of the transmitted light over the full sample length simultaneously as function of time. (Measurement scheme see Fig. 1)
The data are displayed as function of the radial position, as distance from the centre of the rotation (transmission profiles, see Fig. 2).
At the same time up to 8 different samples can be analysed simultaneously at temperatures up to 60 °C.
By means of the available analysis modes ‘Integral Transmission’ (Clarification) and ‘Front Tracking’ the separation behaviour of the individual samples can be compared and analysed in detail.
Figure 2 shows as an example the set of transmission profiles obtained for an oil-in-water (o/w) emulsion analysed at 3000 rpm (1100 x g).
· The type of emulsion oil-in-water (o/w) or water-in-oil (w/o) can easily be deduced from the primary process of destabilization traced by the evolution of transmission profiles.
An example of the typical separation behaviour of a water-in-oil (w/o) emulsion is shown in Fig. 3. The primary process of destabilization traced is sedimentation of water droplets inside the continuous oil phase. (The increase of the baseline above 109 mm is due to the transparent cell basement and therefore not related to the separation process.)
· The dependence of creaming velocity (and of kinetics of other processes traced) on centrifugal acceleration can be measured, which is necessary for extrapolation to normal gravity
Examples of application
In the following the ratio of the total liquid separated relative to the entire sample volume was chosen as an easy measure of emulsion stability. The higher this value the lower the stability. After a simple calibration the relation between the radial position and volume can be established.
· Effect of stirring time and emulsifier on emulsion stability
Coarse emulsions containing 5 % m/m surfactant were intensively homogenized with a laboratory dissolver. Samples were taken in between 0 and 30 minutes during homogenisation. Values depicted were obtained during one run of the instrument for each emulsifier (commercial ethoxylated surfactants with a varying degree of Ethoxylation – EO).
Stability increases almost linearly with processing time after an initial sharp improvement relative to the coarse emulsions. The surfactant with 5 EO units is the most effective emulsifier. Blending of surfactants is often used to adjust the polarity of the emulsifier to the actual need. As obvious from Fig. 6 not only the average polarity is a key in determining emulsion stability but also the oligomer distribution. The performance of the blend “5+7” ranges between the efficiency of emulsifiers with nominal 5 and 7 EO units, however, “3+12” is only as efficient as the emulsifier with 12 EO.
· Effect of HLB-value and temperature on emulsion stability
o/w Emulsions were prepared at a paraffin oil/water ratio of 1/1 m/m using a mixture of an oil and a water soluble emulsifier. The HLB value of the emulsifier was shifted by varying the emulsifier composition. The temperature dependence of emulsion stability can easily be assessed by centrifugation at different temperatures.
Emulsion stability decreases when temperature is increased. Near the optimum HLB value stability is less dependent on temperature. At higher temperatures the optimum HLB is shifted to higher values.
Effective dispersion of lime is required in laundry applications as well as in papermaking, paints and other filed. To this end efficient stabilizers and their right concentration has to be selected.
A multisample technique based on analytical centrifugation is described which allows for an accelerated study of dispersion stability without dilution, thus avoiding changes of dispersion properties.
The efficiency of this approach is demonstrated by evaluation of the optimum dispersant concentration and by screening of a range of potential lime dispersants.
The LumiFuge measures the intensity of the transmitted light over the full sample length simultaneously as function of time. (Measurement scheme see Fig. 1)

The data are displayed as function of the radial position, as distance from the centre of the rotation (transmission profiles, see Fig. 2).
At the same time up to 8 different samples can be analysed simultaneously.
By means of the available analysis modes ‘Integral Transmission’ (Clarification) and ‘Front Tracking’ the separation behaviour of the individual samples can be compared and analysed in detail.
1 % m/m aqueous lime dispersions were prepared with varying concentrations of sodium alkylbenzene sulfonate (ABS-Na) or with the addition of different dispersing agents. The separation stability was analysed at 1000 rpm (128 x g).
The set of transmission profiles obtained for the dispersion stabilized by an alkylbenzene sulfonate is representative for the sedimentation of a very polydisperse suspension. As an easy measure of stability the transmission after 45 minutes of centrifugation was chosen. To this end the transmission values were averaged over the sample length between the radial position 101 and 103 mm using the analysis mode ‘Integral Transmission’. The higher the transmission the lower the stability. This way the stabilization effect can directly be visualized (Fig. 3 and 4).
Fig. 3 displays the dependence of dispersion stability on concentration of the anionic dispersant. Values depicted were obtained during one run of the instrument.
Fig. 4 shows a direct comparison of the performance of different dispersants. The acryl amide acrylate copolymer is the far most efficient dispersant resulting in the highest residual turbidity (lowest transmission).
From this figure the advantage of comparing multiple samples during one measurement under identical conditions becomes evident.
The detection principle of the Lumifuge/Lumisizer and Lumireader instruments allows to determine the local position with high precision.
For more advanced applications (determination of sediment heights for example) the knowledge of the position of the bottom of the measuring cells might be necessary. To determine the packing density or to determine the phase ratio of phases separated, it is straight forward to determine these values after calibration by inserting the values obtained for the respective position into an equation.
How to do the calibration ?
The procedure to follow is based on two simple facts
#1 For a given type of measuring cells, i.e. rectangular plastic cells or glass cells, a set of samples are filled to different heights with water (density equals 1 g / cm³) with the sample mass determined by a semi-analytical balance (± 1 mg).
#2 Transmission profiles of these samples are obtained using the Lumifuge (up to eight samples per measurement) or the Lumireader.
#3 The position of the interface air-water is determined for each sample
#4 Via fitting a convenient equation the dependence volume-position and position-volume can be obtained, which also gives the position relating to ‘zero volume’, i.e. the position at the bottom
Ten sample cells were filled with water (range 25 mg – 825 mg). For the transmission profiles obtained, see two examples below for 151 and 407 mg, respectively.
For round glass cells with a diameter of 10 mm a range of 150 mg to 5000 mg would be appropriate.
For the Lumifuge with a shorter line detector a range of 20 to 400 mg and 200 – 2700 mg, respectively, is applicable.
One has to take care of the precise placing of the sample cells.
The drop in transmission around position 49 mm (given as distance from the upper end of the CCD line sensor) is caused by the bottom of the cell, however, its position cannot be deduced exactly.
The position of the interface air-water (sharp incline) reads 40.1 and 25.6 mm for the samples with 151 mg (upper figure) and with 407 mg (lower figure), respectively.
Fitted with the equation of type y = a + bx + cx² (eq. 1) one gets
a = 48.78 (position of the cell bottom, i.e. 48.8 mm)
b = - 0.05895
c = 0.000004603
Please note, this is the relation of position as function of the sample mass.
For the determination of volume in relation to the position, however, one needs an equation to compute the volume by inserting the values determined for the position.
The same type of fitting equation might be used as above y = a + bx + cx² (eq. 2)
with y for volume (mm³ or µl) and x for the position.
The regression results in
a = 888.7 (maximum volume traceable, i.e. 888 mm³)
b = -19.56
c = 0.02762
With the knowledge of these parameters and the equation above (eq. 2) one can compute any volume of sediment or the volume of the whole sample. The value of a cream layer or a floating oil layer can be determined by subtracting the volume relating to the position of the interface from the volume of the whole sample accordingly.
Example – Determination of sediment volume and packing density
Below the transmission profile of a flocculated sample of colloidal silica which was measured at gravity to deduce the change in packing density after compaction in a centrifugal field.
The position of the interface air-water is at 25.6 mm relating to a volume of 406 mm³, the position of the sediment interface is at 40.3 mm corresponding to 145 mm³. The layer of water above the sediment, therefore, has a volume of 261 mm³.
The packing density of silica can be expressed in terms of volume fraction:
F = m/(rV) (eq. 3)
with the mass of silica m (in this case 10 mg), a density r of 2.3 g/cm³ or mg/mm³ and the volume of silica V (145 mm³, see above).
According equation (3) the packing density of silica measured results in a volume fraction F of 0.03, very far from a dense packing.