Chapter 2
... nŋr fu'dH 'lπxnR tUwm. 2 02^/д№)я_Яюах .β.
W = 2R I exp(—)—- ≈ — --exp(-≡-), р = -------'н-н™* [2.16]
Ь кТ H1 H7mmp кТ 2кТ
From Eq. [2.15] and [2.16], the increase in Umax causes a reduction of the
aggregation rate.
2.3.5. Coalescence
Coalescence is the rupture of the thin film of continuous phase that separates
two nearby droplets. Coalescence is usually characterized by the film-drainage
model [20]. Coalescence process of droplets can be divided into three steps:
approach, film drainage and rupture.
The stages of film thinning for a simple emulsion system can be described as
follows [21]: 1) When two droplets are approaching, film thickness δ decreases
rapidly with time, and dimpling (also corrugations and oscillations) precedes the
formation of a plane parallel film; 2) as interfacial resistance increases the film is
slowly thinned to a critical thickness δcr for rupture; 3) rupture occurs when a hole
formed.
Many efforts have been devoted to the understanding of the formation and
thinning of a flat film between drops. Weber number is imported here, which refers
the internal Laplace pressure Pl and external stress Text exerted upon the doublet
of drops.
20
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