Effect of Droplet Viscosity

The higher the viscosity of the dispersed phase, the longer it will take to deform a drop of that liquid. By and large, the deformation time is of the order of 

The consequences of the fact that time is needed for droplet deformation, hence break-up, are especially important at A 1. They will be discussed separately for the various regimes. 

The constraints imposed by finite Tdef have been discussed by Walstra. It appears likely that eqn. (2.25) is indeed valid for stresses due to inertial forces. By using eqn. (2.15) for the external stress, this results in 

The droplet can in principle be broken up if the external stress acts for a period r ief. In the regime TI this period would be given by the lifetime of the energy bearing eddies, according to eqn. (2.13). By putting = d, we arrive at 

It may be noted that r at and teddy are about equal, provided that d results from unhindered break-up in the regime TI. 

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