Numerical study of drop behavior in a pore space

Deformation and breakup of a liquid drop immersed in another immiscible flowing through single pore has been studied numerically using conservative phase-field lattice Boltzmann method. Several benchmarks were conducted to validate the code, including recovery Laplace pressure, layered flow two liquids, implementation wetting boundary conditions on curved surface. Gravity-driven motion space was qualitatively compared available experimental results. Quantitative assessment pressure field across interface moving deforming performed. Our results show that high Weber number due low surface tension Reynolds velocity continuous promote breakage. More viscous drops break easier than less drops. We present phase charts (Weber vs capillary number) critical as function