A Phase-Field Approach for Liquid-Liquid Flow Simulations

A phase-field approach is presented for the numerical simulation of two-phase forced flow in channels. The difference in physical properties of the two components is handled following a quasi-incompressible approach (Lowengrub and Truskinovsky [16]). The axisymmetric form of the Navier - Stokes and CahnHilliard equations system is solved for a narrow pipe of radius R = 1 m m, where buoyancy effects are neglected. Results of three simulations for the evolution of spherical and elongated bubbles are reported.