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Influence of the Processes Parameters on the Properties of The ...

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Chapter 3.<br />

Analytical Methods and Designs <str<strong>on</strong>g>of</str<strong>on</strong>g> Experiments<br />

6.2.1.1 Du Noüy Ring Method<br />

In this method, a clean platinum ring (cf. Figure 3.21) is placed under <str<strong>on</strong>g>the</str<strong>on</strong>g> surface <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> test liquid,<br />

and <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid is slowly moved downward until <str<strong>on</strong>g>the</str<strong>on</strong>g> ring or plate breaks through <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid surface. <strong>The</strong> force<br />

is recorded, and by means <str<strong>on</strong>g>of</str<strong>on</strong>g> appropriate c<strong>on</strong>versi<strong>on</strong> factors, <str<strong>on</strong>g>the</str<strong>on</strong>g> surface tensi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid is calculated.<br />

6.2.1.2 Wilhelmy Plate Method<br />

Figure 3.21: <strong>The</strong> Du Noüy’ ring method.<br />

A sec<strong>on</strong>d method to measure <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid surface tensi<strong>on</strong> involves <str<strong>on</strong>g>the</str<strong>on</strong>g> use <str<strong>on</strong>g>of</str<strong>on</strong>g> a pre-weighed plate and<br />

<str<strong>on</strong>g>the</str<strong>on</strong>g> measurement <str<strong>on</strong>g>of</str<strong>on</strong>g> wetting forces. <strong>The</strong> level <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid is raised until c<strong>on</strong>tact between <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid surface<br />

and <str<strong>on</strong>g>the</str<strong>on</strong>g> plate is registered. C<strong>on</strong>tact between <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid and <str<strong>on</strong>g>the</str<strong>on</strong>g> plate induces a change <str<strong>on</strong>g>of</str<strong>on</strong>g> working forces <strong>on</strong><br />

<str<strong>on</strong>g>the</str<strong>on</strong>g> plate, which is measured by <str<strong>on</strong>g>the</str<strong>on</strong>g> tensiometer. <strong>The</strong>re are 3 forces acting <strong>on</strong> <str<strong>on</strong>g>the</str<strong>on</strong>g> plate: <str<strong>on</strong>g>the</str<strong>on</strong>g> force due to (1)<br />

vertical gravity, (2) wetting and (3) buoyancy. By using a pre-weighed plate, <str<strong>on</strong>g>the</str<strong>on</strong>g> tensiometer can exclude <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

gravity force and by extrapolating <str<strong>on</strong>g>the</str<strong>on</strong>g> measured forces back to zero depth <str<strong>on</strong>g>of</str<strong>on</strong>g> immersi<strong>on</strong>, <str<strong>on</strong>g>the</str<strong>on</strong>g> buoyancy force<br />

can also be excluded. <strong>The</strong> <strong>on</strong>ly force left, <str<strong>on</strong>g>the</str<strong>on</strong>g> wetting force (F w ), is <str<strong>on</strong>g>the</str<strong>on</strong>g>n easily measured by <str<strong>on</strong>g>the</str<strong>on</strong>g> tensiometer<br />

[Mykhaylyk et al., 2003; Ga<strong>on</strong>kar and Neuman, 1984].<br />

A high surface energy (platinum plate) is used in this approach, with <str<strong>on</strong>g>the</str<strong>on</strong>g> assumpti<strong>on</strong> that <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

c<strong>on</strong>tact angle (θ) liquid-platinum plate is 0° (Figure 3.22). As a c<strong>on</strong>sequence, <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid-vapour surface<br />

tensi<strong>on</strong> can be calculated as follows: F w = γ LV L cos θ, where γ LV is <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid-vapour surface tensi<strong>on</strong>, L <str<strong>on</strong>g>the</str<strong>on</strong>g><br />

wetted length <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> plate (twice <str<strong>on</strong>g>the</str<strong>on</strong>g> width and length <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> plate) and θ <str<strong>on</strong>g>the</str<strong>on</strong>g> plate-liquid c<strong>on</strong>tact angle<br />

[Mykhaylyk et al., 2003; Ga<strong>on</strong>kar and Neuman, 1984].<br />

Figure 3.22: <strong>The</strong> Wilhelmy’ plate method with a platinum plate.<br />

Its biggest advantage is that <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid surface tensi<strong>on</strong> is analyzed at a fixed point, resulting in a<br />

static determinati<strong>on</strong> method. After <str<strong>on</strong>g>the</str<strong>on</strong>g> plate is immersed in <str<strong>on</strong>g>the</str<strong>on</strong>g> liquid and equilibrium has settled, <str<strong>on</strong>g>the</str<strong>on</strong>g>re is no<br />

movement <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>the</str<strong>on</strong>g> plate or liquid which results in a higher accuracy. Fur<str<strong>on</strong>g>the</str<strong>on</strong>g>rmore <str<strong>on</strong>g>the</str<strong>on</strong>g> Wilhelmy’ plate method<br />

allows determining <str<strong>on</strong>g>the</str<strong>on</strong>g> surface tensi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> viscous liquids [Mykhaylyk et al., 2003; Ga<strong>on</strong>kar and Neuman,<br />

1984].<br />

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