Fig. 3: Evolution of bubble size distributions.
a Time evolution of the dimensionless bubble size distributions in the foams made from emulsions at different ϕ. The curves are plotted with a grey scale proportional to the foam age, where black corresponds to the end of the image acquisition tf. b Third moment \({\mu }_{3}^{R}\) versus the mean bubble radius. The solid black line indicates the average value at early times. The grey zones show the ±50% and +100% values, which are used to estimate Rsk in (d). The \({\mu }_{3}^{R}\) have black stars, which indicate the values at t = 96 h. c Impact of emulsion elastic modulus on Rsk. The length of the data markers indicates the impact of changing the criteria for the deviation of \({\mu }_{3}^{R}\) from its plateau. The black line shows the prediction with \({\rm {C{a}}}_{{{{{{{{\rm{el}}}}}}}}}^{{{{{{{{\rm{FE}}}}}}}}}=0.54\) and the grey region the impact of changing liquid fraction on it. d Evolution of the expected foam elastic modulus GFE (solid lines) and of the foam elastocapillary number \({\rm {C{a}}}_{{{{{{{{\rm{el}}}}}}}}}^{{{{{{{{\rm{FE}}}}}}}}}\) (dashed lines) as the mean bubble size grows because of coarsening, for the different ϕ.
