Samples to define emulsion produced were collected after 15 and 45 min stirring with Smith’s turbine with the rotation frequency 500 rpm. The images of drops of multiple emulsion produced for the two given stirring times are presented in Fig. 2. The emergence of multiple emulsion oil in water in oil (O/W/O), with irregular shapes of water phase, was observed.
On the basis of images taken, programme Opta View, rays and dimensions of inner oil-phase drops were defined. The population of inner oil-phase drops in the number from 700 to 800 was taken to the analysis. Sauter mean diameter d32 was determined using the relation (1). The arithmetic mean diameter da calculated as the sum of the droplets diameter divided by the number of droplets,
$$d_{a} = \frac{{\sum\limits_{i = 1}^{x} {x_{i} d_{i} } }}{{\sum\limits_{i = 1}^{x} {x_{i} } }}.$$
(3)
Distribution of inner oil-phase drops in the produced oil in water in oil emulsion, for the sample stirred for 15 min was presented in histogram in the Fig. 3a, and for the time of 45 min in Fig. 3b.
Analysing data presented in Fig. 3a, b it was possible to observe, that the biggest collection of inner oil-phase drops being 37% of the whole population in question, is in the range of diameters from 2 to 4 μm, for the sample collected after 15 min of stirring (Fig. 3a) and in the range of 2.19–4.38 μm for the sample stirred for 45 min (Fig. 3b), where the number of drops appearance equals 41% of the whole inner oil-phase drops tested. The 13% bigger appearance of inner oil-phase drops number of diameter smaller than 2.19 μm was visible too, when the emulsion was stirred for 45 min in comparison to the emulsion stirred for 15 min It leads to the conclusion that the prolonging stirring time influences the occurrence of the bigger number of smaller-diameter inner oil phase drops.
Putting the emulsion aside caused gradual, slow phases stratification. The drops dimension measurement were again conducted after 3 days from the moment of O/W/O emulsion production. One sample of emulsion was stirred before the measurements, with Smith’s turbine with the rotation frequency 500 rpm about 1 min. The second sample was shaken manually until homogeneity was obtained about 1 min, too. Obtaining homogeneity of the samples again caused oil in water in oil emulsion (O/W/O, Fig. 4) production.
In both cases of the drops population in question, the biggest number of drops was observed (Fig. 5a) for diameters of inner oil-phase drops smaller than d = 5 μm with emulsion, which after 3 days of before the measurements, to gain homogeneity, was stirred again with Smith’s turbine and for d < 3.86 μm (Fig. 5b) for the sample, which was shaken to gain homogeneity. Values of the mean arithmetic diameter inner oil phase emulsion drops equal, respectively, da = 8.30 μm for mechanically stirred sample and da = 5.84 μm for the sample shaken before the drops dimension measurement.
Observation of the number of drops of inner oil phase was also conducted after 30 days from the moment of emulsion production. Similarly to 3 as well as 30 days emulsion underwent stratification, that is why, before the measurements, to homogenise the sample, one sample was stirred mechanically for about 1 min and the second one was shaken manually for about 1 min The images of the samples obtained after 30 days from the stirred or shaken sample production are presented in Fig. 6. The analysis of diameter values of the inner oil-phase drops presented in a form of histogram in Fig. 7a indicates the presence of 33% of the whole population of drops of diameter d < 1.81 μm and about 29% of drops of diameters of the range between 1.82 and 3.62 μm. It means that more than a half of population in question is of d < 3.62 μm dimension.
A different distribution of drops is visible in values of data analysed of inner oil phase of the produced emulsion diameters obtained, which after 30 days was re-shaken to gain homogeneity (Fig. 7b). The existence of significant, 63% population of drops analysed was spotted, drops of the d < 2.35 μm diameter. The number of drops of diameters belonging to another range 2.36 μm < d < 4.7 μm was only 18% of the analysed population. Thanks to such drops distribution, the value of mean alternative drops diameter was calculated and equals da = 3.95 μm. This value is smaller than the value of mean drops diameter da = 5.06 μm for emulsion, which was re-stirred before the analysis.
Table 1 collectively presents the sizes and volumes of population of inner oil-phase drops of the emulsion produced, obtained on the basis of experimental data taken to the analysis. The size of drops was presented as a minimal diameter dmin, arithmetic mean drops da, median dm and Sauter mean diameter d32. The minimal value of drops diameter in the emulsion analysed in three cases was equal dmin = 0.78 μm, and in the other three was a bit smaller. It was observed that prolonging the stirring time for 30 min does not cause appearance of much smaller minimal drops values. The mean value of the arithmetic diameter and median gets smaller with the time of stirring. Prolonging the stirring time also affects the size of Sauter mean diameter, which is d32 = 32.37 μm in 45 min of stirring and is 6.26 μm bigger than mean diameter obtained after 15 min of stirring. Analysing the values of diameters in so called emulsion ‘ageing’, it is proper to say that the biggest values of the mean arithmetic drop diameter da and the Sauter mean diameter d32 were obtained for the produced emulsion stirred with Smith’s turbine after 3 days of its production.
Table 1 The sizes and values of population of inner oil-phase drops of the emulsion produced Additionally collected set of drops was compared, with the assumption that d 20 μm, which is mean 95% of the analysed population of inner oil phase drops. The same range of mean alternative drops diameter every 2 μm was designated for this aim. Having compared the data presented in Fig. 8 it was possible to state that bigger number of smaller diameter drops was obtained after prolonging the stirring time to 45 min. The time when the slow emulsion ‘ageing’ happens also has influence on the size of drops. Comparing the data obtained on the day of emulsion production after 45 min with the data obtained on the 30 day from emulsion production, the curve shift towards smaller values of inner oil phase diameter was observed.
Rheological properties of the produced emulsion were presented as = f() in Fig. 9. On the basis of the data obtained after analysis it is possible to state that prolonging the stirring time by 30 min did not significantly affect the change of curves. The emulsion flow curves produced after 15 min and 45 min of stirring were described by Herschel–Bulkley model.
$$\tau = 0.36 + \left( {0.0362 \times \gamma^{1.053} } \right).$$
(4)
Herschel–Bulkley model presented by the Eq. (4) describes the experimental data with the mean error 3.5%, for the shear speed range 1 < , 1/s < 50.
In Fig. 10a the data presented in a form of equation = f() of emulsion were compared, which during the production process was stirred with Smith’s turbine for 45 min and emulsion, which after production was put aside for 30 days, and before the rheological measurements it was stirred mechanically. There were no significant changes stated in the strain-shearing values with the given strain speeds from the range 1 < , 1/s < 50 in both compared emulsions. It is different (Fig. 10b) when the earlier produced emulsion is shaken after 30 days to obtain homogeneity. In such case differences in strain shearing values with strain speed < 15 1/s. Smaller values of strain shearing were obtained for the emulsion, which was re-shaken after 30 days. Beyond < 20 1/s values for the data of both analysed emulsions are similar.