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Chapter 2

^ = (-φ)n                                   [2.10]

vs

Here φ is the volume fraction of the dispersed phase, vetr is the effective
terminal sedimentation velocity,
n is an empirical constant, which ranges from 6.5
to 8.6.[17].

If the emulsion is poly-dispersed, the average diameter square should
replace
d2 in Eq. [2.9]. The increase in polydispersity will decrease the
sedimentation rate [2].

[2.11]


” ^ ∑N,d;

When repulsive forces dominate, sedimentation is slower, probably because
group sedimentation is not favored. On the other hand, if attractive forces
dominate and aggregation takes place, sedimentation rate will increase with
larger size aggregates.

2.3.4. Aggregation

From DLVO theory discussed in section 2.3.1, aggregation of emulsions
depends on the van der Waals attractive interaction and electrical repulsion
interaction. The overall interaction energy
U is given by the sum of Ua and Ue,
which is the combination of Eq. [2.4] and [2.8].

t∕ = t∕4+t⅞                                     [2.12]

17



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