Growth Model for Dense Emulsions

We aim to derive the simplest model that would account for the droplet growth within a concentrated emulsion undergoing coalescence when the thin films are characterized by a unique parameter co, the frequency of rupture per unit surface of film. We assume that this timescale is the only one that limits the growth. We consider the concentrated emulsion to be analogous to a biliquid foam, for which  

Lifetime and Destruction of Concentrated Emulsions Undergoing Coalescence 

Indeed, the variation of n, which corresponds also to the number of coalescence events, will be proportional (with the previous assumptions) to the droplet surface area times the frequency of rupture (o. The droplet volume fraction 0 is given by p = 4 r/3 R, allowing us to rewrite the previous equation as  

We expect that the previously described long time growth may be accounted for by this model and hence allows us to deduce the parameters co(T), coo and E,. We 

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