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Stabilisation of water-in-oil emulsions to improve - eTheses ...

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4.5.1 Droplet Size Distribution measurement<br />

Log-normal droplet (particle) size distributions are mathematically described as<br />

follows:<br />

<br />

1<br />

σ√2π , <br />

57<br />

4.7<br />

Where is the relative frequency <strong>of</strong> a droplet with a specific diameter, is the<br />

droplet diameter, σ is standard deviation <strong>of</strong> the normal distribution plot,<br />

Geometric median (mean) diameter ,; 50 % <strong>of</strong> droplets are smaller and 50 %<br />

larger than this diameter, is the natural exponential function.<br />

Note:<br />

d50,0; 50% <strong>of</strong> the <strong>to</strong>tal number <strong>of</strong> droplets, have diameter at this size.<br />

d50,3; 50% <strong>of</strong> the <strong>to</strong>tal volume <strong>of</strong> droplets, have diameter at this size.<br />

d1,0; number-length mean (e.g. droplets measured via microscopy)<br />

d2,0; number-surface area mean (based on surface area <strong>of</strong> droplets)<br />

d3,0; number-volume or number-weight mean<br />

d2,1; length-area mean<br />

d3,1; length-volume mean<br />

d3,2; surface area-volume mean or surface area moment mean – Sauter Mean<br />

Diameter<br />

d4,3; volume-mass mean or volume/mass moment mean – De Broukere Mean<br />

Diameter

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