Association of Percolation Theory with Princen's Approach To Model the Storage Modulus of Highly Concentrated Emulsions
Résumé
An approach based on percolation theory is associated to the rigorousness of the two-dimensional (2D) model of close-packed, monodisperse, cylindrical emulsions established by Princen, to obtain an equation to model the dispersed-phase volume fraction (phi) dependence of the storage modulus (G') of highly concentrated emulsions. A first-order Taylor expansion of this general percolation model leads to an expression similar to the three-dimensional (3D) model proposed by Princen and Kiss for real polydisperse emulsions, with a more satisfactory derivation of the function E(phi). Finally, the robustness of this model is tested against different experimental data collected from the literature.