The Stability and Self-organization of 3d Bidisperse Cellular Fluids

The possibility of formation of cellular systems composed of two immiscible fluids, A and B, immersed in a continuous liquid medium C, has been examined. The system under study is formed as a result of the insertion of small bubbles or droplets of fluid A into a drained monodisperse foam/emulsion consisting of bubbles/droplets of fluid B separated by a thin film of liquid C. Interfacial tensions acting along the A-C and B-C interfaces were assumed to be the only driving forces determining the polyhedral shape of network cells. The stability of different patterns formed when A singlets (i.e. single A cells surrounded by B cells only) or A doublets (i.e. two neighboring A cells shearing one A-C-A face) are inserted into the B network, has been discussed in terms of the interfacial energy of the system.